Task 1 Verify that a given mapping L is linear if: 3 L (х,у,2, w) — (x — Зw, Зу — wtz),x, у, z, wER If L is a mapping then determine a) Im L b) Ker L

Q: 4 The height of a cylinder is 7 yards. The circumference of the base of the cylinder is 14 yards. Wh...

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Q: Find the average rate of change of f(x) 82? 9 on the interval 3, b. - Your answer will be an express...

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Q: Find the exponential function f(x) = ab“ that satisfies the conditions f(0) = 2 and f(2) = 8. f(x)

A: Given: - The exponential function f(x)=abx that satisfies the conditions f(0)=2 and f(2)=8 To find: ...

Q: Problem #8: Which of the following statements are always true? 1 O 0 6 1 is an elementary matrix. 1 ...

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Q: 3. A six-foot-tall basketball player shoots a ball towards the basket and misses. The height in feet...

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Q: n airplane flying into A headwind travels 1800 miles in three hours and 36 minutes. On the return fl...

A: Follow the procedure given below.

Q: Please solve each of the following equations. Please show all your steps! A. A= hw, solve for h. B. ...

A: Topic:- algebra

Q: #3: Use Gauss-Jordan Elimination to solve the following system of equations. 2x+ 2y-6z = 2 x+ 4y+3z ...

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Q: Determine the value(s) of h such that the matrix is the augmented matrix of a consistent linear syst...

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Q: A ball is thrown upward and outward from a height of 5 5 feet. The height of the​ ball, f(x), in​ fe...

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Q: The eigenvectors (A) of the matrix [A] of the linear system of equations [A]{x}={b} satisfy the foll...

A: Given :Matrix= [A] Eigen Vactor ={∧}

Q: 7x + Find the average rate of change of g(x) on the interval[-4, 2]. x4 %3D Question Help: Video M M...

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Q: 4. what is the cofactor of the following. a. C4 bC12 c. C32 d. C21 1 2 0 1 -2 0 3 8 5 4 2 -3 1 -41 3...

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Q: Estimate the quotient using rounded numbers

A: Topic:- algebra

Q: 3. Solve the system of equations to determine the number of bags of M&M's and the number of Hershey ...

A: Given: Ms. Smith decided to purchase bags of M&M's and Harshey Bars for all of her students. Eac...

Q: 24. The table below shows the data from two linear functions. Determine the values of the input vari...

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Q: 4. what is the cofactor of the following. a. C4 bC,2 с. Су 1 2 0 3 0 1 8 5 5 2 4 -2 -3 1 3.

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Q: 4. Determine the time necessary for $3500 to mature to $22,000 in an account that pays 7.2% annual i...

A: we have to define time required  

Q: 3. Solve for the determinants of the following matrices. 1 2 0 1 0 3 |2 2| |2 3 8 5 A= B= 3 -1 3 15 ...

A: Topic:- Matrix algebra

Q: walked the farthest of all the participants. If he can walk in 1 mile in 12 minutes, how far did he ...

A: Given query is to find the distance traveled by X in 6 hours.

Q: Graph the line with slope -1 passing through the point (-4, 4). 10 10

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Q: In an island of Knights (who always tell the truth) and Knaves (who always tell a ie), you met 6 inh...

A: To determine, who of the six inhabitant are knights.

Q: Find the solution of the exponential equation e2a +1 39 | in terms of logarithms, or correct to four...

A: Here we have to find the value of x.

Q: 31 -2 1 61 4 [7 B=|2 A= 3 [-4 c=5 1 -3 4 -3 a. CB+CA b. 2B-A C. A-4B d. C'A? 2.

A: Given,           A=1433-21-406 ,C=5 , B=75221-34-32

Q: Position vs. Time 30 20 10 10 - 20 - 30 0 10 20 30 40 50 60 70 Time (s) 12. When is the car moving b...

A: Topic:- geometry

Q: 6. Determine the domain of the following: a. y = -3/14 + 3x b. y = V4 + 3x –- x² x+1 С. у %3 х(х-2) ...

A: Domain of given function at which y(x) is defined.

Q: Ms. Smith decided to purchase bags of M&Ms and Hershey Bars for all of her students. Each M&M Bag co...

A: Total number of items purchased can be represented as     x+y=6 Total amount of money spent     3x+2...

Q: 7. -2x2 + 28x - 91 = 0 %3D

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Q: Suppose that the function f is defined, for all real numbers, as follows. -5x+3 if xs2 f(x) = X-4 if...

A: Given that: f(x)=-5x+3 if x≤2x-4  if x>2

Q: 1. (x³ – 37x – 84) ÷ (x – 7) -

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Q: 5. Solve for the product of: 4 B= 2 0 |-5 1 1. -4 A- : -31 15 6 12 1 1. 2 A. A*B b. B*A

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Q: 19. THE SHARK PROBLEM You can swim at the rate of 20 meters per minute. A shark can swim at the rate...

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Q: Point out the points (-6,-3),(-1,-0.5),(,6,3),(7,3.5) on the graph

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Q: 1) = X= 4-x 2/8

A: The given equation,      x4-x=2x

Q: How many ⅔g tablets can be prepared from a stock of 66g?

A: given that,  How many 23g tablets can be prepared from a stock of 66g? so,            each tablet we...

Q: Use the situation to choose the correct answers. Complete Steps 1-2 in order. 2. Step 1: Determine w...

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Q: Write an equation in slope-intercept form of the line shown. AY 6, 4) 4 2 |(-2, 2) -4 -2 6. 6.

A: We can write the required equation as below.

Q: In 1983 the average tuition for one year at an Ivy League school was $11,800. Thirty years later, in...

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Q: In a factory that manufactures computers, 8 computers out of 10 function correctly. What is the prob...

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Q: Choose the correct equation for the given quadric surface. ² - 4y - z = 40 O+ 4y +z = 40 x² - 4y + z...

A: Hint: the quadratic surface has two disjoint branches.   The correct equation of the quadratic surfa...

Q: Which of the following statements are always true? (i) If A and B are 353 x 353 matrices with det(A)...

A: Which of the following is true.  1)If A and B are 353×353 matrices with Det(A)=7 and Det(B)= 8, then...

Q: Let x be defined as x = x² -x + 1 for all values of x. If p = p -3, what is the value of p? A 1 BO C...

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Q: 70. (a) Apply the Northwest Corner Rule to the following tableau. 1 3 3 1 3 4 Supplies 1 8. II 1 7. ...

A: It is the cost minimise calculation. 

Q: The tables show the cat population on two islands over several years. Describe mathematically, as pr...

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Q: Vyatt wants to buy pears and apples to make a fruit tart. Pears cost $3.50 per pound and apples cost...

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Q: Solve the System by using the Elimination Method. Give answer as (x, y, z). x - 5y- 6z – 15 2x +5y +...

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Q: 2. Find the inverse of the following : Y= log, (r-8)+6

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Q: A Q 10) Which of the ordered pairs is NOT a solution to the following system of equations? S+ = 1? %...

A: Given, (x²/9)+(y²/16)= 1 =>16x²+9y²=144-----equation 1 (x²/16)+(y²/9)=1 =>9x²+16y²=144------eq...

Q: Determine the value(s) of h such that the matrix is the augmented matrix of a consistent linear syst...

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Q: %3D 14. Given: MZABC = 90° 2x

A: topic - line and angles