3 dimensions (2,3,1)

Q: How many numbers from 1 to 1000 are not divisible by 2, 3 or 5?

A: We will count how many numbers are multiples of at least one of these three 2, 3 and 5 and then subt...

Q: Q- What is the volume of the solid obtained by rotating the region bounded by the graphs of y = Vx, ...

A: When a closed curve revolved around a particular axis, it generates a closed surface. Volume is the ...

Q: 1. Find the Point the Plane X + 3y +27 = 6 that on %3D is nearest to the orig in.

A: To find- Find the point on the plane x + 3y + 2z = 6 that is nearest to the origin.

Q: a) Determine whether S = {(1,0,-1), (2,1,0), (3,1,-1), (1,1,1)} spans R. b) Find all c ER for which ...

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: Find the derivative of the function by quotient rule. f(x) = v 5x+7 3x-2

A: Given that f(x)= sqrt((5x+7)/(3x-2)) We have to find derivative of f(x) by quotient rule.

Q: Discrete Math Write the following two statements in symbolic form and determine whether they are lo...

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Q: (5 + 2/3) 2 + 13 Without using a calculator, express in the form p + q/3 , where p and q are integer...

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Q: Find the value of b for which the differential equation (yesay + x) dx + (bæešy) dy = 0 8xy %3D is e...

A: Solution

Q: fØ: R → S is a ring isomorphism. Th Nilpotent elements Idempotent elemen

A: The properties of ring isomorphism are given. We have to select correct properties of it.

Q: (c) Determine with justification whether each of the following functions R → R is one-to-one, onto o...

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Q: Question 2 (a) Let U be the set of the total number of students at a school, A be the set of student...

A: Brief answer is given below.

Q: 3 %3D 我一

A: 935÷1214 change the mixed fraction to improper fraction 485÷1214 change the division sign to multipl...

Q: Evaluate the following and detemine if the sequence {a,} converges or diverges 5n2 + 9n 11 12n an 2n...

A: limn→∞an=limn→∞12n3-5n2+9n-112n3-3n2+7n+5=limn→∞n312-5n+9n2-11n3n32-3n+7n2+5n3=122=6

Q: What shapes have 2 pairs of parallel sides? Choose ALL that are correct

A: We have to recognize the shape which has two pairs of parallel sides. For this, we have to identify ...

Q: cos(y) e(s) (s)

A: In this question, the concept of maxima and minima is applied. Maxima and Minima The critical points...

Q: In n

A: Given as, an =Innn3

Q: 1. Find Solution using Newton's Divided Difference Interpolation (x = 301)? f(x) 300 2.4771 304 2.48...

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly rep...

Q: e of the sides described in the

A: # We are entitled to solve one question at a time , please resubmit the other questions if you wish ...

Q: Q: Solve the system of equations if consistent by Gauss Jordan method. x + 2y - 3z = -2 3x - y -  2...

A: We have to solve the given system of equations using the Gauss Jordan method. For this, we have to w...

Q: Name the marked angle in 2 different ways. E

A: The marked angle can be named in two ways  The vertex will remain in same both ways  

Q: (b) Given the following logical circuit with three inputs A, B and C: i. Use the boolean algebra not...

A: Given logical circuit is Since we know the meaning of logical gates as     So 

Q: Using simplex method whot is the entering variat

A: Given,          Max.(Z)=12x1+16x2 Subject to            10x1+20x2≤120                8x1+8x2≤80   an...

Q: sin(x) sin(y)dx + cos(x) cos(y)dy= 0, y(0) = 2, h = 0.5, Find y (1) using fourth-order RK

A: We have to find y(1) using fourth-order RK.

Q: What is the relative error in estimating the first derivative of f (x) = 25x - 6x? + 7x -88 at x-2, ...

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Q: Identify the equivalent of the statement: Every insect that flies is a potential risk that might car...

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Q: °+a° - 0 36 2.

A: Simplify the given quadratic equation.

Q: Find the value of p(x,4)and p(x,6) using permutation formula where x is the 09.

A: We have to find the value of p(x, 4) and p(x, 6) using the permutation formula. Here, x=09

Q: Let P(x) be the statement “ x? > 1" and Q(x) be the statement “x+1 < 4". The universe of discourse c...

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Q: (f) Let A, B and C be three sets. Prove by contradiction that if An B C C and r E B, then x¢ A – C.

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Q: Find the Laplace transform, F(s) of the function f(t) = sin(5t), t > 0. %3D F(s) = ,s >0 00 Use the ...

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Q: p: No number is divisible by zero. q: Some numbers are irrational. r: 1, v2, and 3/4 are numbers. Th...

A: We will basic mathematical logic to answer both these questions.

Q: f(x, y) = xy, R = {(x, y): x² + y² < 16}

A: Polar coordinate and rectangular co-ordinate  x=r cosθy=r sinθx2+y2=r2θ=tan-1yx The integral will be...

Q: a circle is tangent to the line 2x-y+1=0 at the point (2,5) and the center is on the line x+y=9. fin...

A: Given that Line 2x-y+1=0 touches the circle at point P(2,5). It means line passes through P(2,5) and...

Q: (a) Insert 4 arithmetic means between 1 and 15. (b) Insert 5 geometric means between 3 and 192.

A: To find-  Insert 4 arithmetic means between 1 and 15. Insert 5 geometric means between 3 and 192.

Q: 4. How many subsets are there of {1, 2, 3, 4, 5}? How many contain at least three elements? How many...

A: Given set is S=1,2,3,4,5 Since we know that, if a set contains n elements, then total number of subs...

Q: a is a real number. Which number line does not show a anc O A) O B) -a

A: If two numbers are opposite , then one must be on the left side and zero and another on the right of...

Q: Problem 4. Let n E N, prove that every prime divisor p of the number n4 – n2 +1 is of the form 12k +...

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Q: What interest will be earned if $4,800 is invested for 7 years at an annual rate of 12% compounded m...

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Q: The line models the temperature on a certain winter day since sunrise. What is the y-intercept of th...

A: it is known that  equation of line  y=mx+c at x=0 , y=3 using equation of line  3=c

Q: The first figure of the Sierpinski triangle has one shaded triangle. The second figure of the Sierpi...

A: The first figure of the Sierpinski triangle has 1 shaded triangle. The second figure of the Sierpins...

Q: Insert 4 arithmetic means between 1 and 15

A: Introduction: When there is a constant common difference between two successive terms of a sequence,...

Q: Solve the value of w, x, y and z on the given system of linear equations using any method you know. ...

A: We can solve this following equation by guss Jordan elimination

Q: Part 2 Locate the first nontrivial root of sin x = x² where x is in radians. Use Regula-Falsi with t...

A: Given: sinx=x2, where x is in the radians, therefore, let f(x)=sinx-x2. Calculate f(x) at various va...

Q: t the three numbers be x, y, and z. Then x + y + z = 370 3 is can be rewritten as z = 370 V 370 - x ...

A: Introduction: The partial derivative is used in vector calculus and differential geometry. In mathem...

Q: Determine the finance charge for a credit card that has the given average daily balance and interest...

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Q: 3. Note : m=0 a. Graph the following function: f (k) + 4 = 3-2x-m + 8 c. Expand logarithmic expressi...

A: Given: function f(x)+4=3-2x-m+8 m=0 f(x)+4=3-2x+0+8 ⇒f(x)=3-2x+8-4 ⇒f(x)=3-2x+4

Q: / Find the value of the Constant a& b such thet X > 2 fex)=} ax +b iif fer) is Continuny 3 bx - 2, x...

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Q: Find an integrating factor and solve the equation y dx + (4xy – e4) dy = 0. NOTE: Do not enter an ar...

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Q: Suppose there are 4 candidates running for a public office. The candidates are A, B, C, and D. The r...

A: Condorcet criterion is the candidate who beats all other candidates in the pair-wise comparison is t...

Q: 2. Given the points (1,0.7),(2,0.73),(3,0.8),(4,0.75),(5,0.6). Use Lagrange polynomials to find the ...

A: Given points are xi 1 2 3 4 5 yi 0.7 0.73 0.8 0.75 0.6 Here, i=0, 1, 2, 3, 4.