Answer as directed. 1. it is convergent, evaluate it. Determine whether the improper integral is convergentor divergent, and if t* dy a) f y Iny w dw b) Jo J16-w2

Q: Given the vectors A = 3i – 5j + 2k and B = 7i + j – 2k. Find the vector projection of A onto B.

A: Given : A→=3i-5j+2kB→=7i+j-2k     To Find : Vctor Projection of A→  onto B→

Q: Evaluate: L7 3sin13 edx 512 1001 1024 1001 O 1024 1001 512 1001

A: Solution of given question is written in below steps.

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Q: In chapter 10, we will be solving system of equations. Most of the time, we solve system of linear…

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Q: Use the following information to answer the question below. lim f(x) = 3 lim f(x) = ∞ lim f(x) = -3…

A: Information of the function is given, we have to find the required values

Q: Activity 1.5.3. A company manufactures rope, and the total cost of producing r feet of rope is C(r)…

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Q: Exercise 7.2 1. Calculate the values for f (x) = 3x a) f(2) %3D b) f(-2) %3D is (1; 2; 3). 3. %3D of…

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Q: Use Hooke's Law to determine the work done by the variable force in the spring problem. A force of 7…

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Q: 5 4 3 2 1 -1 T/2 3T/2 -2 -3 -4 -5 The graph of the function f(x) : given above for the interval x E…

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Q: Evaluate 3+x lim,→4 (c-4)(x+2) O +∞ O 1 8.

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Q: For each of the following, sketch the region enclosed by the given curves. Decide whether to…

A: In this question we have to find the area.

Q: Establish the identity. 3 csc0 4 cos 0 = 7 cot 0 sec 0 sin 0 Write the left side of the identity in…

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Q: Evaluate the derivative of the function: x2 f(x) = ( x²+1 8x (æ²+1)° O 8a(a² –1) (2²+1) O 1 4x…

A: Use the chain rule for finding the derivative

Q: _13. If y = sin(4x – 5), then what is y'? а. у'3 сos (4x -5) b. у'- 4cos (4x — 5) c. y' = -cos (4x -…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: d'y Find dx? 2 y = (2а-3)? dy 48 dx? (2г - 3)" O dy -12 da? (2г- 3)" O d'y 12 dx? (2a-3) dy -8 da?…

A: y=2(2x-3)2

Q: Verify Green's Theorem by evaluating both integrals y? dx + x2 dy dA ду for the given path. C:…

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Q: What is the area of the region bounded by the graph of r = 4 cos 0? %3D Choose two (2) correct…

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Q: Given f(x) = 3x2 – 24x + 15, a. Write f(x) in standard form. b. What is the axis of symmetry of…

A: Given query is to write the standard form and find symmetry.

Q: dy Solve the differential equation = -3 cos x-4x if y(7)=0. dx

A: To solve the given differential equation.

Q: 1 T/2 3t/2 -1 - -2 + -3 + -4 - -5 The graph of the function f(x) = sec x is given above for the…

A: Topic:- function and calculus

Q: 1+ cx, if x 2 Given the function: f(x) = C - x, What should be the value of c so thatf is…

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: d²y of the following equation then simplify whenever possible. 3) Find and dx dx- x = 3em y = 4e-m

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Q: write the equation of the tangent to the Eunction: 2(x? +y=J%=25(x* -y^) at the point (3, 1) %3D

A: First we calculate the slope of tangent at the given point

Q: Evaluate the definite integral. Using Fundamental Theorems of Calculus. π 1 sin -x cos? 1

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Q: Find the point S so that ray (PQ) and ray (RS) are each of the same vector where P = (2, 5), Q = (1,…

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Q: | (2x - y) dx + (x + 7y) dy. Evaluate C: x-axis from (0, 0) to (0, -7) and (0, -7) to (4, -7)

A: x-axis from 0,0 to 0,-7 indicates that interval of y is from 0 to -7 y-axis from 0,-7 to 4,-7…

Q: Use the limit definition to find the derivative of f (x), this means no short cut rules, f(x) = x? –…

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Q: Find the integral of your answer in problems 2a and 2b. Note: My answer on 2a and 2b will be found…

A: Here we have to find the area.

Q: d d Calculate ri(t) · r2(t)] and r:(t) x r2(t)] first by differentiating dt dt the product directly…

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Q: Evaluate

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Q: 1. Find the volume of the parallelepiped PQRS if the vectors V(PQ),v(PR), and v(PS) respectively 31…

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Q: Find curl (3z i + 4x j + 7y k). curl(3z i + 4x j + 7y k) = i Di + ( Dj + ( i )k

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Q: Use Hooke's Law to determine the work done by the variable force in the spring problem. A force of 5…

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Q: A cylindrical container with circular base is to hold 64 in3 . Find its dimensions so that the…

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Q: Find the area of the region enclosed by the parabolas y=x and y=2x-x². Make a sketch and shade in…

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Q: Use Green's Theorem to evaluate the line integral (y - x) dx + (2x – y) dy for the given path. C:…

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Q: Use Hooke's Law to determine the work done by the vaniable force in the spring problem. A force of 7…

A: The answer is 5.6 pounds

Q: Find curl(4= i+ 5x j+ 6y k). curl(4: i+ 5x j + 6y k) = ( i )i + ( i )j +( i

A: We have to find curl

Q: Find div F and curl F if F(x, y, z) = 3y°z©i – 3x*z°j – 3xy*k. div F= curl F=

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Q: Find V (F x G), if F(x, y, z) = 11xi +j+ 13yk and G(x, y, z) = xi + yj – zk. V. (F x G) =

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Q: Let 7(t) : - Find (don't include the +C) V

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Q: Find the extrema for F(x) = x*/x+1 on the interval [-l]

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Q: Find V · (F × G), if F(x, y, z) = 2xi+j+14yk and G(x, y, z) = xi+ yj – zk. %3D - V · (F × G) = %3D

A: To solve the following problem

Q: Find the first three nonzero terms in Maclaurin Series for each function

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Q: Determine the equation of the midline of the following graph. 2 -27 3 27 3' 47 3 3. '3 2 6. -1 -3 -4…

A: From the given graph we have to find the midline value

Q: Put them in order please  x^2- 22x+121+y^2-32y+256=1

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Q: Solve the given differential equation by undetermined coefficients. y'' − 12y' + 36y = 18x + 2…

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Q: The motion of a point on the circumference of a rolling wheel of radius 3 feet is described by the…

A: Given: r→t = 310t-sin10ti→+31-costj→ We know the following rt  =…

Q: 2. Find an equation of the plane containing the point P (0, -) and the line determined by the two…

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