Find the radius of convergence, R, of the series. xn + 1 3n! n = 2 R = Find the interval, I, of convergence of the series. (Enter your answer using interval notation.) I =

Q: Try to find the slope of the tangent to the circle x²+y²=5. at the point (-2, 1) Show solution

A: tangent

Q: Daluate the Vector-valued function at each given value of t. (If an answer does not exist, enter…

A:

Q: Which integral corresponds to the volume of the solid generated by revolving the region enclosed by…

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Q: 8 – a? if – 2 2 between O 8 and 16 O O and 8 O 16 and 24 O 16 and 33

A: Given problem:-

Q: Find the values of a and b that make f continuous everywhere.

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Q: Find div F and curl F if F(x, y, z) = x*i – 5j + yzk. - div F= curl F=

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Q: 5) Find the linear approximation to estimate V7.429. Compare this to the true value and determine if…

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Q: Using appropriate substitution 9x2 – 4 dx X is equal to

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Q: Given the function: x² –4 if x + 2 f(æ) = { k, 2-x if x = 2 What should be the value of k so that…

A: We have to find value of K

Q: e the initial value problems with initial conditions y' = y – 1 @ yo = 0 b. у %3D et- 1 а. у%3 у?— 1…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 1. Given the General Solution the DE, Identify the roots * y = C1e4* + C2e¬* + C3 O A) m1= 4; m2= 0…

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise.…

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Q: Using appropriate substitution 1 dx V9x² – 36x + 37 Is equal to

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Q: Evaluate the integral. 4 (5 - t)Vt dt

A: The objective of the question is evaluate the definite integral.

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

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Q: 7. S x4 sec (x5 - 9) dx 8. S tan 3 x dx

A: Question 7 and question 8 are solved.

Q: Using the shell method, determine the integral that represents the volume of the solid formed by…

A: volume rotating about x=pii

Q: Use the formula r(t) - – P) x r"(0)|| to find giớ). ||P() × to find x(t). r(t) = e!l"i + e tj 156…

A: Given problem:- Find k(t) of r(t) =e12t i +e-t j

Q: Find the area bounded by the indicated curves. y = (x - 1)2, y = 8x - 24, where 3 s x s 5 Optional…

A: Let us draw the graph.

Q: x+2x+3 If A = S dx then (x-6)(x²+4) I tan- 7 A is equal to 40 Inlx – 6| - In(x? + 4) + C - Inlx – 6|…

A:

Q: Question 3 of 4 (x² + 1)5 y = (23 – 1) – 1)

A: According to guidelines, we must answer only one question of the multiple questions given. Please…

Q: True or False. Explain your answer The limit of sin(x) as x approaches very large values is 0 or 1.

A: Given

Q: Find curl(7z i + 8x j+ 5y k). curl (7z i + &x j+ 5y k) = ( i )i + (i )j + ( )k

A:

Q: Find div F and curl F if F(x, y, z) = x°i – 10j + yzk. div F= curl F=

A: To find the divergence and curl of the following vectorF→=x9i-10j+yzk

Q: Find V × (V × F) if F(x, y, z) = 9xyj+10xyz k. V x (V × F) =|

A: We have to find given expression.

Q: Need

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Q: 4. Let em² cos , 2.x + b, r 0 r>0 h(x) = %3D where b is a constant. (a) Explain why h(x) is…

A: We need to solve continuity problem.

Q: A projectile fired downward from a height of 112 ft reaches the ground 2 seconds. What is the…

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Q: dx tan x +sin x+1

A: Solution of the problem as follows

Q: Find V x (V × F) if F(x, y, z) = xyj+ 6xyz k. V × (V × F) =

A:

Q: Find the area bounded by the indicated curves. y = 3x + 3, y = x2 + 3 Optional For visualization,…

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Q: Describe the graph of the equation. r = - 2i + tj + (t² – 1)k O Itis a parabola in the x = 2 plane,…

A: Here we  have to identify the vector.

Q: Which type of discontinuity does the function exhibit at x = 3? -x2 + 1, -1 sx <0 2х, f(x) = { -4,…

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Q: Find '(t) F'(t) ► <[

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Q: d,x+7 3. dx 2x-3

A: To find: ddxx+72x-3

Q: r3 5x-2 5.) . V5x+1 xp!

A: This is a problem of integration. Based on the general formula and concept we will answer the…

Q: 7y" – 5y' – 2y = 0 ; y(0) = 4 ; y'(0) = 0 |

A: differential equation

Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use o or…

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Q: Use a triple integral to find the volume of the solid in the first octant bounded by the coordinate…

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Q: 3/2 dy The order and degree of the differential equation (). - 4 = 0 dx - dx2

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y1…

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Q: For the given cost function C(I) = 128/ + find 512000 d) The production level that will minimize the…

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Q: Which integral corresponds to the area of the shaded region between the curves y = |a² – 4| and y =…

A: To find the area of the shaded region.

Q: t cos t?dt can best be evaluated by: A None B Trigonometric Transformation Integration by Parts…

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Q: Find the derivative of y=x^(7sinx). (x>0).

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Q: (-1)r+1. n=1 と(-1)"+1 n2 2]

A: Topic:- sequence and series

Q: dy + 2ху dx %3D

A: integrating factor method.

Q: Find the area of the region bounded by  y=x^3,y=x+6 and       2y+2=0.

A: This is a problem related to integration. Based on the general formula and concepts we will answer…

Q: Find the critical points of the parametric equations x = 5 – Int y = t+ Int

A:

Q: Find the linear approximation to estimate V7.429. Compare this to the true value and determine if…

A: We have to find liner approximation of 3√(7.429)