Precalculus Enhanced with Graphing Utilities (7th Edition)
7th Edition
ISBN: 9780134119281
Author: Michael Sullivan, Michael Sullivan III
Publisher: PEARSON
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Textbook Question
Chapter 12.4, Problem 20SB
In Problems 1-22, use the Principle of Mathematical Induction to show that the given statement is true for all natural numbers .
is divisible by 3.
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Exercise 1
Given are the following planes:
plane 1:
3x4y+z = 1
0
plane 2:
(s, t) =
( 2 ) + (
-2
5 s+
0
(
3 t
2
-2
a) Find for both planes the Hessian normal form and for plane 1 in addition the parameter form.
b) Use the cross product of the two normal vectors to show that the planes intersect in a line.
c) Calculate the intersection line.
d) Calculate the intersection angle of the planes. Make a sketch to indicate which angle you are
calculating.
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rmine the immediate settlement for points A and B shown in
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of foundation (DF-0), thickness of layer below footing (H)=20m.
4m
B
2m
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4m
Chapter 12 Solutions
Precalculus Enhanced with Graphing Utilities (7th Edition)
Ch. 12.1 - For the function f( x )= x1 x , find f( 2 ) and f(...Ch. 12.1 - True or False A function is a relation between two...Ch. 12.1 - If 1000 is invested at 4 per annum compounded...Ch. 12.1 - How much do you need to invest now at 5 per annum...Ch. 12.1 - Prob. 5AYPCh. 12.1 - True or False The notation a 5 represents the...Ch. 12.1 - If n0 is an integer, then n!= ________ When n2 .Ch. 12.1 - The sequence a 1 =5 , a n =3 a n1 is an example of...Ch. 12.1 - The notation a 1 + a 2 + a 3 ++ a n = k=1 n a k...Ch. 12.1 - k=1 n k=1+2+3++n = ______. (a) n! (b) n( n+1 ) 2...
Ch. 12.1 - In Problems 11-16, evaluate each factorial...Ch. 12.1 - In Problems 11-16, evaluate each factorial...Ch. 12.1 - In Problems 11-16, evaluate each factorial...Ch. 12.1 - In Problems 11-16, evaluate each factorial...Ch. 12.1 - In Problems 11-16, evaluate each factorial...Ch. 12.1 - In Problems 11-16, evaluate each factorial...Ch. 12.1 - In Problems 17-28, write down the first five terms...Ch. 12.1 - In Problems 17-28, write down the first five terms...Ch. 12.1 - In Problems 17-28, write down the first five terms...Ch. 12.1 - In Problems 17-28, write down the first five terms...Ch. 12.1 - In Problems 17-28, write down the first five terms...Ch. 12.1 - In Problems 17-28, write down the first five terms...Ch. 12.1 - In Problems 17-28, write down the first five terms...Ch. 12.1 - In Problems 17-28, write down the first five terms...Ch. 12.1 - In Problems 17-28, write down the first five terms...Ch. 12.1 - In Problems 17-28, write down the first five terms...Ch. 12.1 - In Problems 17-28, write down the first five terms...Ch. 12.1 - In Problems 17-28, write down the first five terms...Ch. 12.1 - In Problems 29-36, the given pattern continues....Ch. 12.1 - In Problems 29-36, the given pattern continues....Ch. 12.1 - In Problems 29-36, the given pattern continues....Ch. 12.1 - In Problems 29-36, the given pattern continues....Ch. 12.1 - In Problems 29-36, the given pattern continues....Ch. 12.1 - In Problems 29-36, the given pattern continues....Ch. 12.1 - In Problems 29-36, the given pattern continues....Ch. 12.1 - In Problems 29-36, the given pattern continues....Ch. 12.1 - In Problems 37-50, a sequence is defined...Ch. 12.1 - In Problems 37-50, a sequence is defined...Ch. 12.1 - In Problems 37-50, a sequence is defined...Ch. 12.1 - In Problems 37-50, a sequence is defined...Ch. 12.1 - In Problems 37-50, a sequence is defined...Ch. 12.1 - In Problems 37-50, a sequence is defined...Ch. 12.1 - In Problems 37-50, a sequence is defined...Ch. 12.1 - In Problems 37-50, a sequence is defined...Ch. 12.1 - In Problems 37-50, a sequence is defined...Ch. 12.1 - In Problems 37-50, a sequence is defined...Ch. 12.1 - In Problems 37-50, a sequence is defined...Ch. 12.1 - In Problems 37-50, a sequence is defined...Ch. 12.1 - In Problems 37-50, a sequence is defined...Ch. 12.1 - In Problems 37-50, a sequence is defined...Ch. 12.1 - In Problems 51-60, write out each sum. k=1 n (...Ch. 12.1 - In Problems 51-60, write out each sum. k=1 n (...Ch. 12.1 - In Problems 51-60, write out each sum. k=1 n k 2...Ch. 12.1 - In Problems 51-60, write out each sum. k=1 n (...Ch. 12.1 - In Problems 51-60, write out each sum. k=0 n 1 3...Ch. 12.1 - In Problems 51-60, write out each sum. k=0 n ( 3...Ch. 12.1 - In Problems 51-60, write out each sum. k=0 n1 1 3...Ch. 12.1 - In Problems 51-60, write out each sum. k=0 n1 (...Ch. 12.1 - In Problems 51-60, write out each sum. k=2 n ( 1...Ch. 12.1 - In Problems 51-60, write out each sum. k=3 n ( 1...Ch. 12.1 - In Problems 61-70, express each sum using...Ch. 12.1 - In Problems 61-70, express each sum using...Ch. 12.1 - In Problems 61-70, express each sum using...Ch. 12.1 - In Problems 61-70, express each sum using...Ch. 12.1 - In Problems 61-70, express each sum using...Ch. 12.1 - In Problems 61-70, express each sum using...Ch. 12.1 - In Problems 61-70, express each sum using...Ch. 12.1 - In Problems 61-70, express each sum using...Ch. 12.1 - In Problems 61-70, express each sum using...Ch. 12.1 - In Problems 61-70, express each sum using...Ch. 12.1 - In Problems 71-82, find the sum of each sequence. ...Ch. 12.1 - In Problems 71-82, find the sum of each sequence. ...Ch. 12.1 - In Problems 71-82, find the sum of each sequence. ...Ch. 12.1 - In Problems 71-82, find the sum of each sequence. ...Ch. 12.1 - In Problems 71-82, find the sum of each sequence. ...Ch. 12.1 - In Problems 71-82, find the sum of each sequence. ...Ch. 12.1 - In Problems 71-82, find the sum of each sequence. ...Ch. 12.1 - In Problems 71-82, find the sum of each sequence. ...Ch. 12.1 - In Problems 71-82, find the sum of each sequence. ...Ch. 12.1 - In Problems 71-82, find the sum of each sequence. ...Ch. 12.1 - In Problems 71-82, find the sum of each sequence. ...Ch. 12.1 - In Problems 71-82, find the sum of each sequence. ...Ch. 12.1 - If 2500 is invested at 3 compounded monthly, find...Ch. 12.1 - Write the complex number 1i in polar form. Express...Ch. 12.1 - For v=2ij and w=i+2j , find the dot product vw .Ch. 12.1 - Find an equation of the parabola with vertex ( 3,4...Ch. 12.2 - In a(n) _________ sequence, the difference between...Ch. 12.2 - True or False For an arithmetic sequence { a n }...Ch. 12.2 - If the 5th term of an arithmetic sequence is 12...Ch. 12.2 - True or False The sum S n of the first n terms of...Ch. 12.2 - An arithmetic sequence can always be expressed as...Ch. 12.2 - If a n =2n+7 is the n th term of an arithmetic...Ch. 12.2 - In Problems 7-16, show that each sequence is...Ch. 12.2 - In Problems 7-16, show that each sequence is...Ch. 12.2 - In Problems 7-16, show that each sequence is...Ch. 12.2 - In Problems 7-16, show that each sequence is...Ch. 12.2 - In Problems 7-16, show that each sequence is...Ch. 12.2 - In Problems 7-16, show that each sequence is...Ch. 12.2 - In Problems 7-16, show that each sequence is...Ch. 12.2 - In Problems 7-16, show that each sequence is...Ch. 12.2 - In Problems 7-16, show that each sequence is...Ch. 12.2 - In Problems 7-16, show that each sequence is...Ch. 12.2 - In Problems 17-24, find the nth term of the...Ch. 12.2 - In Problems 17-24, find the nth term of the...Ch. 12.2 - In Problems 17-24, find the nth term of the...Ch. 12.2 - In Problems 17-24, find the nth term of the...Ch. 12.2 - In Problems 17-24, find the nth term of the...Ch. 12.2 - In Problems 17-24, find the nth term of the...Ch. 12.2 - In Problems 17-24, find the nth term of the...Ch. 12.2 - In Problems 17-24, find the nth term of the...Ch. 12.2 - In Problems 25-30, find the indicated term in each...Ch. 12.2 - In Problems 25-30, find the indicated term in each...Ch. 12.2 - In Problems 25-30, find the indicated term in each...Ch. 12.2 - In Problems 25-30, find the indicated term in each...Ch. 12.2 - In Problems 25-30, find the indicated term in each...Ch. 12.2 - In Problems 25-30, find the indicated term in each...Ch. 12.2 - In Problems 31-38, find the first term and the...Ch. 12.2 - In Problems 31-38, find the first term and the...Ch. 12.2 - In Problems 31-38, find the first term and the...Ch. 12.2 - In Problems 31-38, find the first term and the...Ch. 12.2 - In Problems 31-38, find the first term and the...Ch. 12.2 - In Problems 31-38, find the first term and the...Ch. 12.2 - In Problems 31-38, find the first term and the...Ch. 12.2 - In Problems 31-38, find the first term and the...Ch. 12.2 - In Problems 39-56, find each sum. 1+3+5++( 2n1 )Ch. 12.2 - In Problems 39-56, find each sum. 2+4+6++2nCh. 12.2 - In Problems 39-56, find each sum. 7+12+17++( 2+5n...Ch. 12.2 - In Problems 39-56, find each sum. 1+3+7++( 4n5 )Ch. 12.2 - In Problems 39-56, find each sum. 2+4+6++70Ch. 12.2 - In Problems 39-56, find each sum. 1+3+5++59Ch. 12.2 - In Problems 39-56, find each sum. 5+9+13++49Ch. 12.2 - In Problems 39-56, find each sum. 2+5+8++41Ch. 12.2 - In Problems 39-56, find each sum. 73+78+83+88++558Ch. 12.2 - In Problems 39-56, find each sum. 7+1511299Ch. 12.2 - In Problems 39-56, find each sum. 4+4.5+5+5.5++100Ch. 12.2 - In Problems 39-56, find each sum. 8+8 1 4 +8 1 2...Ch. 12.2 - In Problems 39-56, find each sum. n=1 80 ( 2n5 )Ch. 12.2 - In Problems 39-56, find each sum. n=1 90 ( 32n )Ch. 12.2 - In Problems 39-56, find each sum. n=1 100 ( 6 1 2...Ch. 12.2 - In Problems 39-56, find each sum. n=1 80 ( 1 3 n+...Ch. 12.2 - In Problems 39-56, find each sum. The sum of the...Ch. 12.2 - In Problems 39-56, find each sum. The sum of the...Ch. 12.2 - Find x so that x+3,2x+1,and5x+2 are consecutive...Ch. 12.2 - Find x so that 2x,3x+2,and5x+3 are consecutive...Ch. 12.2 - How many terms must be added in an arithmetic...Ch. 12.2 - How many terms must be added in an arithmetic...Ch. 12.2 - Drury Lane Theater The Drury Lane Theater has 25...Ch. 12.2 - Football Stadium The corner section of a football...Ch. 12.2 - Creating a Mosaic A mosaic is designed in the...Ch. 12.2 - Constructing a Brick Staircase A brick staircase...Ch. 12.2 - Cooling Air As a parcel of air rises (for example,...Ch. 12.2 - Prob. 66AECh. 12.2 - Seats in an Amphitheater An outdoor amphitheater...Ch. 12.2 - Stadium Construction How many rows are in the...Ch. 12.2 - Salary If you take a job with a starting salary of...Ch. 12.2 - Make up an arithmetic sequence. Give it to a...Ch. 12.2 - Describe the similarities and differences between...Ch. 12.2 - Problems 72-75 are based on material learned...Ch. 12.2 - Prob. 73RYKCh. 12.2 - Prob. 74RYKCh. 12.2 - Problems 72-75 are based on material learned...Ch. 12.3 - The formula for the n th term of a geometric...Ch. 12.3 - Prob. 2CVCh. 12.3 - Prob. 3CVCh. 12.3 - Prob. 4CVCh. 12.3 - Prob. 5CVCh. 12.3 - Prob. 6CVCh. 12.3 - Prob. 7CVCh. 12.3 - Prob. 8CVCh. 12.3 - Prob. 9SBCh. 12.3 - Prob. 10SBCh. 12.3 - Prob. 11SBCh. 12.3 - Prob. 12SBCh. 12.3 - Prob. 13SBCh. 12.3 - Prob. 14SBCh. 12.3 - Prob. 15SBCh. 12.3 - Prob. 16SBCh. 12.3 - Prob. 17SBCh. 12.3 - Prob. 18SBCh. 12.3 - Prob. 19SBCh. 12.3 - In Problems 19-26, find the fifth term and the n...Ch. 12.3 - Prob. 21SBCh. 12.3 - Prob. 22SBCh. 12.3 - Prob. 23SBCh. 12.3 - Prob. 24SBCh. 12.3 - Prob. 25SBCh. 12.3 - Prob. 26SBCh. 12.3 - Prob. 27SBCh. 12.3 - Prob. 28SBCh. 12.3 - Prob. 29SBCh. 12.3 - Prob. 30SBCh. 12.3 - Prob. 31SBCh. 12.3 - Prob. 32SBCh. 12.3 - Prob. 33SBCh. 12.3 - Prob. 34SBCh. 12.3 - Prob. 35SBCh. 12.3 - Prob. 36SBCh. 12.3 - Prob. 37SBCh. 12.3 - Prob. 38SBCh. 12.3 - Prob. 39SBCh. 12.3 - Prob. 40SBCh. 12.3 - In problems 41-46, find each sum. 1 4 + 2 4 + 2 2...Ch. 12.3 - Prob. 42SBCh. 12.3 - In problems 41-46, find each sum. k=1 n ( 2 3 ) kCh. 12.3 - In problems 41-46, find each sum. k=1 n 4 3 k1Ch. 12.3 - Prob. 45SBCh. 12.3 - Prob. 46SBCh. 12.3 - Prob. 47SBCh. 12.3 - Prob. 48SBCh. 12.3 - Prob. 49SBCh. 12.3 - Prob. 50SBCh. 12.3 - Prob. 51SBCh. 12.3 - For Problems 47-52, use a graphing utility to find...Ch. 12.3 - In Problems 53-68, determine whether each infinite...Ch. 12.3 - In Problems 53-68, determine whether each infinite...Ch. 12.3 - In Problems 53-68, determine whether each infinite...Ch. 12.3 - Prob. 56SBCh. 12.3 - Prob. 57SBCh. 12.3 - In Problems 53-68, determine whether each infinite...Ch. 12.3 - In Problems 53-68, determine whether each infinite...Ch. 12.3 - Prob. 60SBCh. 12.3 - In Problems 53-68, determine whether each infinite...Ch. 12.3 - In Problems 53-68, determine whether each infinite...Ch. 12.3 - Prob. 63SBCh. 12.3 - Prob. 64SBCh. 12.3 - Prob. 65SBCh. 12.3 - In Problems 53-68, determine whether each infinite...Ch. 12.3 - In Problems 53-68, determine whether each infinite...Ch. 12.3 - In Problems 53-68, determine whether each infinite...Ch. 12.3 - Prob. 69MPCh. 12.3 - Prob. 70MPCh. 12.3 - Prob. 71MPCh. 12.3 - Prob. 72MPCh. 12.3 - In Problems 69-82, determine whether the given...Ch. 12.3 - Prob. 74MPCh. 12.3 - Prob. 75MPCh. 12.3 - Prob. 76MPCh. 12.3 - Prob. 77MPCh. 12.3 - Prob. 78MPCh. 12.3 - Prob. 79MPCh. 12.3 - Prob. 80MPCh. 12.3 - Prob. 81MPCh. 12.3 - Prob. 82MPCh. 12.3 - Prob. 83AECh. 12.3 - Prob. 84AECh. 12.3 - Salary Increases If you have been hired at an...Ch. 12.3 - Prob. 86AECh. 12.3 - Pendulum Swings Initially, a pendulum swings...Ch. 12.3 - Bouncing Balls A ball is dropped from a height of...Ch. 12.3 - Retirement Christine contributes 100 each month to...Ch. 12.3 - Saving for a Home Jolene wants to purchase a new...Ch. 12.3 - Tax-Sheltered Annuity Don contributes 500 at the...Ch. 12.3 - Retirement Ray contributes 1000 to an individual...Ch. 12.3 - Sinking Fund Scott and Alice want to purchase a...Ch. 12.3 - Prob. 94AECh. 12.3 - Prob. 95AECh. 12.3 - Prob. 96AECh. 12.3 - Prob. 97AECh. 12.3 - Multiplier Refer to Problem 97. Suppose that the...Ch. 12.3 - Prob. 99AECh. 12.3 - Stock Price Refer to Problem 99. Suppose that a...Ch. 12.3 - Prob. 101AECh. 12.3 - Show that the Amount of an Annuity formula that...Ch. 12.3 - Critical Thinking You are interviewing for a job...Ch. 12.3 - Prob. 104DWCh. 12.3 - Prob. 105DWCh. 12.3 - Prob. 106DWCh. 12.3 - Prob. 107DWCh. 12.3 - Prob. 108DWCh. 12.3 - Prob. 109DWCh. 12.3 - Describe the similarities and differences between...Ch. 12.3 - Use the ChangeofBase Formula and a calculator to...Ch. 12.3 - Prob. 113RYKCh. 12.3 - Prob. 114RYKCh. 12.3 - Prob. 115RYKCh. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 23-27, prove each statement. If x1 ,...Ch. 12.4 - In Problems 23-27, prove each statement. If 0x1 ,...Ch. 12.4 - In Problems 23-27, prove each statement. ab is a...Ch. 12.4 - In Problems 23-27, prove each statement. a+b is a...Ch. 12.4 - In Problems 23-27, prove each statement. ( 1+a ) n...Ch. 12.4 - Show that the statement n 2 n+41 is a prime...Ch. 12.4 - Show that the formula 2+4+6++2n= n 2 +n+2 obeys...Ch. 12.4 - Use mathematical induction to prove that if r1 ,...Ch. 12.4 - Use mathematical induction to prove that a+( a+d...Ch. 12.4 - Extended Principle of Mathematical Induction The...Ch. 12.4 - Geometry Use the Extended Principle of...Ch. 12.4 - How would you explain the Principle of...Ch. 12.4 - Solve: log 2 x+5 =4Ch. 12.4 - A mass of 500 kg is suspended from two cables, as...Ch. 12.4 - Solve the system: { 4x+3y=7 2x5y=16Ch. 12.4 - For A=[ 1 2 1 0 1 4 ]andB=[ 3 1 1 0 2 2 ] , find...Ch. 12.5 - The ______ ______ is a triangular display of the...Ch. 12.5 - ( n 0 )=and( n 1 )= .Ch. 12.5 - True or False ( n j )= j! ( nj )!n!Ch. 12.5 - The ______ ________ can be used to expand...Ch. 12.5 - In Problems 5-16, evaluate each expression. ( 5 3...Ch. 12.5 - In Problems 5-16, evaluate each expression. ( 7 3...Ch. 12.5 - In Problems 5-16, evaluate each expression. ( 7 5...Ch. 12.5 - In Problems 5-16, evaluate each expression. ( 9 7...Ch. 12.5 - In Problems 5-16, evaluate each expression. ( 50...Ch. 12.5 - In Problems 5-16, evaluate each expression. ( 100...Ch. 12.5 - In Problems 5-16, evaluate each expression. ( 1000...Ch. 12.5 - In Problems 5-16, evaluate each expression. ( 1000...Ch. 12.5 - In Problems 5-16, evaluate each expression. ( 55...Ch. 12.5 - In Problems 5-16, evaluate each expression. ( 60...Ch. 12.5 - In Problems 5-16, evaluate each expression. ( 47...Ch. 12.5 - In Problems 5-16, evaluate each expression. ( 37...Ch. 12.5 - In Problems 17-28, expand each expression using...Ch. 12.5 - In Problems 17-28, expand each expression using...Ch. 12.5 - In Problems 17-28, expand each expression using...Ch. 12.5 - In Problems 17-28, expand each expression using...Ch. 12.5 - In Problems 17-28, expand each expression using...Ch. 12.5 - In Problems 17-28, expand each expression using...Ch. 12.5 - In Problems 17-28, expand each expression using...Ch. 12.5 - In Problems 17-28, expand each expression using...Ch. 12.5 - In Problems 17-28, expand each expression using...Ch. 12.5 - In Problems 17-28, expand each expression using...Ch. 12.5 - In Problems 17-28, expand each expression using...Ch. 12.5 - In Problems 17-28, expand each expression using...Ch. 12.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 12.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 12.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 12.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 12.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 12.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 12.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 12.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 12.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 12.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 12.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 12.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 12.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 12.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 12.5 - Use the Binomial Theorem to find the numerical...Ch. 12.5 - Use the Binomial Theorem to find the numerical...Ch. 12.5 - Show that ( n n1 )=nand( n n )=1 .Ch. 12.5 - Show that if n and j arc integers with 0jn , then,...Ch. 12.5 - If n is a positive integer, show that, ( n 0 )+( n...Ch. 12.5 - If n is a positive integer, show that ( n 0 )( n 1...Ch. 12.5 - ( 5 0 ) ( 1 4 ) 5 +( 5 1 ) ( 1 4 ) 4 ( 3 4 )+( 5 2...Ch. 12.5 - Stirling’s Formula An approximation for n! ,...Ch. 12.5 - Solve 6 x = 5 x+1 . Express the answer both in...Ch. 12.5 - For v=2i+3jandw=3i2j (a) Find the dot product vw...Ch. 12.5 - Solve the system of equations: { xyz=0 2x+y+3z=1...Ch. 12.5 - Graph the system of inequalities. Tell whether the...
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- What are the correct answers for the second and third question on this page. I am on the Cartesian vectors unit in calculuarrow_forwardTrolley of the overhead crane moves along the bridge rail. The trolley position is measured from the center of the bridge rail (x = 0) is given by x(t) = 0.5t^3-6t^2+19.5t-14 : 0 <= t <= 3 min. The trolley moves from point A to B in the forward direction, B to C in the reverse direction and C to D again in the forward direction. CONTROL PANEL END TRUCK- RUNWAY BEAM- BRIDGE RAIL HOIST -TROLLEY TROLLEY BUMPER TROLLEY DRIVE LPENDANT TRACK -TROLLEY CONDUCTOR TRACK WIRE ROPE -HOOK BLOCK -BRIDGE DRIVE -END TRUCK BUMPER -RUNWAY RAIL TROLLEY END STOP -CONDUCTOR BAR PENDANT FESTOONING TROLLEY FESTOONING PENDANT CABLE PENDANT x(t)=0.5t^3-6t^2+19.5t-14 v(t)=1.5t^2-12t+19.5 a(t)=(dv(t))/dt=3t-12 Fig. T2.2: The overhead crane Total masses of the trolley, hook block, and the load attached to the hook block are 110 kg, 20 kg, and 150 kg. Damping coefficient, D, is 40 kg/s. What is the total amount of energy required from the trolley motor to move the system [Hint: Use Newton's 2nd law to obtain the…arrow_forwardCONTROL PANEL- BRIDGE RAIL HOIST -TROLLEY TROLLEY BUMPER -BRIDGE DRIVE END TRUCK- RUNWAY BEAM- END TRUCK BUMPER -RUNWAY RAIL TROLLEY DRIVE TROLLEY END STOP -CONDUCTOR BAR LPENDANT TRACK TROLLEY CONDUCTOR TRACK -WIRE ROPE PENDANT FESTOONING TROLLEY FESTOONING -PENDANT CABLE -HOOK BLOCK PENDANTarrow_forward
- chool Which of the following functions describes the graph of g(x)--2√9-x²+37 9 8 7 6 4 2 -10-9-8-7-6-5-4-3-2-1 1 -1 -2 -4 -6 10 9 8 B 5 4 3 3 6 -10-9-8-7-6-5-4-3-2-1 2 3 4 6 1 -2 4 -5 -6 -8 -9 -10 10 -10-9-8-7-6-5-4-3-2-1 9 8 Lessons Assessments 6 5 4 + 2 1 1 2 3 4 5 6 8 -1 2 4 -5 -B 8 10 10 9 8 7 6 5 4 3 2 1 -10-9-8-7-6-5-4-3-2-1 1 2 3 4 5 6 B 9 10 -1 -2 -3 -5arrow_forwardPlease sketch questions 1, 2 and 6arrow_forwardsolve questions 3, 4,5, 7, 8, and 9arrow_forward
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