Use the shell method to write and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the x-axis. x + y2 = 36 y 하 5 2- 31 4.

Q: Given vector u = (-3,2) and v = (-3, –1) , determine the value of v – 2u ir component form.

A: We can determine the component form as below.

Q: A tank full of water is designed with ends in the shape of an isosceles triangle with height 9 meter...

A: Let's find. 

Q: Find an equation of the tangent line to the curve at the given point. y = In(x2 - 8x + 1), (8, 0) y ...

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Q: -u, 3v, v - u, and 2u + 5v. 3 Find (7, 6), v = (4, –4) = n 2 (a) 3 (b) 3v (c) V - u

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

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Q: dy at the point (1, ). dx nt) For the equation given below, evaluate 41 +7 x– 5v dy at (1, ) - dx

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Q: Use the incomplete partial fraction method to solve the following differential equations. Y” – 4y’ ...

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Q: Given u = , v = -5i - j, and w (AB) is defined by the points (1, 6) and (-2, 8). a Find v in compone...

A: This is  a problem of vector. By dissolving vector in x and y parts we will convert it into componen...

Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

A: Given,           u=-94i+12jTo find : Find two vectors in opposite directions that are orthogonal to ...

Q: 6 Convert your original pair of complex numbers to polar form. D = 1-j2

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Find the General Solution of the following differential equations: 1. (D4 + 24D3 + 216D² + 864D + 12...

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Q: Use the alternative form of the dot product to find u · v. ||u|| = 30, ||v|| = 50, and the angle bet...

A: Solution is given below:

Q: B. Determine whether f(x) (x - 3) (2x + 1) (x + 4) is continuous at x= 3.

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Q: Find the derivative of the function at Po in the direction of A. f(x,y) = - 5xy + 2y. Po(-7,1), A= 2...

A: Given query is to find indicated derivative.

Q: Consider the following two series A = EE" and - B = n=1 n=1 Which of the following statements is TRU...

A: Given the series  A=∑n=1∞x-1nn and B=∑n=1∞x-1en

Q: 5. f(x) = [(x + 5)5 – 1]* %3D

A: Questiopn 5,Given,           fx=x+55-14To find : The derivative using the chain rule.

Q: Reverse the order of integration and evaluate the integral. 9 3 dy dx + 1 3 y The reversed order of ...

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Q: evaluate the given double integral. (1– y)x² dxdy

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Q: Aus: J 5C -2X

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Q: Vn +1- Vn –1 Σ n n=1

A: Limit Comparison Test : Suppose that we have two series ∑an and ∑bn with an≥0, bn>0 for all n. De...

Q: Fihd thẻ čentroid of the region bounded by the graphs of the functions 1 y = 4 sin(x), y = and x = a...

A: Find the centroid of the region bounded by the graphs of the functions    y = 4 sin(x), y=x/9, and x...

Q: Find u x v, v x u, and v x v. u = 3i + 7k v = 5i + 9j – 3k. %3D (a) u x v (b) (c) V X V

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Q: xy dx (x² + 3y²) dy = 0 |

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Q: 12. f(x) = ( cosx 1+sinx)

A: f(x)= (cosx/ 1+sinx)2

Q: 6 Convert your original pair of complex numbers to polar form. D = 1-j2 A = 2+ j3

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: Topic = Vector

Q: Let f(x) = 6x²(x – 1) + 10. %3D Find the critical points c that correspond to local minima.

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Q: 00 5 Write out the first few terms of the series > (- 1)" ) What is the series' sum? n = 0 5n ... Th...

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Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 450 cub...

A:

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does...

A:

Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

A: Here we have to determine whether the given sequence is divergent or convergent.

Q: u = (2, 11), v = (-5, 2) %3D %3D (a) A.n (b) n n (c)

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you ...

Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx² + y2 + z² (2, ...

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Q: The solution of the boundary value problem (D² + 52)y = 0, given that y(0) = 0 and y() = 1 %3D 10 O ...

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Q: 2 Sx³ex² dx .3

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Q: Consider the following graph. (4, 5) (1, 3) 1. (a) Find the component form of the vector v. (V, V2) ...

A: Given a graph showing the vector. 

Q: 3. Find using implicit differentiation given that dr y secr - log(r² + y?) = e* + cot(ry).

A: To find the derivative of given function.

Q: Let a = ci +jand b = 9i + 12j. Find c so that the angle between a and b is- Round your answers to fo...

A:

Q: What is the largest possible product you can form from two non-negative numbers whose sum is 56? The...

A: To find: largest possible product you can form from two non-negative numbers whose sum is 56

Q: 4.) If a force of 5 Ib produces a stretch of one-tenth the natural length L ft of a spring, how much...

A: This is a problem related to work application of the spring. Based on the general formula we will so...

Q: A hot air balloon rising straight up from a level field is tracked by a range finder 500 ft from the...

A: Explained below 

Q: 6. Use the cashier algorithm to solve these subtraction problems: a. 47- 29 8+7947 75-34-34+34ニ75 c....

A: "Since you have asked multiple questions, we will solve the 1st question for you. If you want any sp...

Q: 4-VE Find the limit: lim→16 x-16

A: We need to evaluate the following limit limx→164-xx-16

Q: Find the direction angles of the vector. (Round your answers to one decimal place.) u = (-6, 3, 7) a...

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Q: Identify all the relative minimum points. Select the correct choice below and, if necessary, fill in...

A:

Q: The Taylor series for f(x) = e" at a = -1 is > Cn (x + 1)". n=0 Find the first few coefficients. CO ...

A: Taylor series for f(x) at a  is given by f(x)=f(a)+f'(a)(x-a)1!+f''(a)(x-a)22!+f'''(a)(x-a)33!+f'v(a...

Q: 2 V1-x*

A:

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two po...

A:

Q: 4. (3x – y)2 = 6x + 2y + 23 @ (1,-2) 5. x(x² – y²) = 3 @ (-1,2)

A: 4) (3x-y)2=6x+2y+23, @(1,-2) 5)x(x2-y2)=3, @(-1,2).

Q: In the given first-order differential equation below, xy – 2y= x2In(x), y(1) = 5 (i) Identify the ty...

A: Given a differential equation.