Solve using the U-Technique Question 15 Given: S 5x? cos 3x³dx. If u = 3x³, then the resulting integral is f f(u)du. Find f ():-. 5/7 A 2 5/2 18 18 5/7 18

Q: Find the indefinite integral. sin 70 V cos 70 de Step 1 To solve the integral | sin 70 Vcos 70 de, r...

A: The given integral is sin3(7 theta)√(cos(7 theta).

Q: Answer the following questions for the function f(x) = - 8x - 36x +240x – 11. a. Find formulas for f...

A:  Given that fx=-8x3-36x2+240x-11To find : f' x,f'' xSolution :a  .fx=-8x3-36x2+240x-11f' x=-24x2-72x...

Q: Evaluate the limit. If dne, explain. (2cos(4x² + 7) + [6x² + 4] lim X→+∞ 4x2 + 7

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Q: Eliminate the parameter to find a Cartesian equation of the curve. x(t) = 9 – 19t y(t) = 38t + 21 (a...

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Q: Use the difference an+1 – An to show that the given sequence {a, } is strictly increasing or strictl...

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Q: 3. Is the function given by Sx-4x-5, メ<5 X-5 2. continccus at x =52 Why ar whynot ?

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth Taylo...

A: Given problem:- Find the Taylor polynomials of orders n = 0, 1, 2, 3 and 4 about x = x_{0} and then ...

Q: 2 tan(4x-1)-3 cos² (4x-1) If we let u = 4x – 1 for the dx, what will be the resulting integrand? cos...

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Q: Use the difference a,n+1 – a, to show that the given sequence {a,}is strictly increasing or strictly...

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Q: The integral J dx reduces to e+1 where u = f(x) and for some constant k.Compute f(1).

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

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Q: Find the derivative of the function. f(t) = 8r2/3 - 4t/3 + 8 f '(t)=

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Q: メ+

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Q: Use the formula for the binomial series: (1 + x)" = т(т-1) 2 2! m(m–1).-(m-k+I),k + + 1+ mx + %3D .....

A: The maclaurin series for 1+x7

Q: Given: S 5x? cos 3x³dx. If u = 3x³, then the resulting integral is S f(u)du. Find f ():-- 5/7 A 2 5/...

A: topic - functions and indefinite integral

Q: k+2 k=1 The series diverges.

A: To find rhe sum of series

Q: EXERCISES O soke the follwing linear syskems of equations: 4x -Ry +3z = -2 2x +2y + Sz = l5 8x-Sy-22...

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Q: Given: (25(x)dx e-x3 There is a function f (x) such that when u = -x³, the resulting integral is f 2...

A: Let's find. 

Q: Determine whether the series converges, and if so find its sum. 4k+2 7メー1 k=D1 1) This series can be...

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Q: Questióh 2 of 9 View Policies Show Attempt History Use the formula for the binomial series: (1 + x)"...

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: Given

Q: 4. The standard form of the first order linear differential equation x'y'+xy + 2 = 0 is

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Q: Evaluate f-4*3 dx In4 b,- -3in4 +C C. In 64 d. none of the above Evaluate f4x cosx dx a. sin x + C b...

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly re-post other...

Q: 2. A diameter of a circle has endpoints A(0, 4) and B(0, -2). Find its equation in standard form.

A: As per the company's guidelines we are supposed to solve first question for you, kindly repost other...

Q: 53. A statue 3 m high is standing on a base of 4 mhigh. IFan observer's eye is 1.5 mabove the ground...

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Q: 2e 7. Evaluate ds

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Q: Ec Find the general term of the sequence, starting with n = 1. Determine whether the sequence conver...

A: topic - sequence and series

Q: Find the exact value of the trigonometric function. (If an answer is undefined, enter UNDEFINED.) ta...

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Q: 20. y + x + 4 = 0; (-2, 2) %3D

A: Topic = Derivative

Q: 1. If x - y = 25, then y" = c.) d.) - a.) b.) 2. If y = cos(3x+1), find y a.) 3 sin(3x+1) b.) -3 sin...

A: Authoring guideline: As per the authoring guidelines, we can solve only the first three parts. Repos...

Q: 1. 2x(y-x dx+ dy = 0

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. Σ k! k = 1 Identify a...

A: topic- sequence and series  

Q: Find the arc length L of the graph of the given equation from P to Q or on the specified interval. y...

A: Solution is written in below steps.

Q: Find the radius of convergence and the interval of convergence. k (x + 3)* k=0

A: The summation of (5/7)k (x+3)k ; k from 0 to infinity.

Q: 5. 3xydx + (x2 + y?) = 0

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Q: du Compute f CSC X u = f(x), then dx sin x – cos x 2 -

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Q: create a graph with labels of a function that  satisfies:  have one point where f(x)=-3, at least o...

A: Question- create a graph with labels of a function that satisfies:    have one point where f(x)=-3, ...

Q: Practice: Find the volume of the solids generated by rotating the area bounded with the given functi...

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Q: A plane flying horizontally at an altitude of 2 miles and a speed of 460 mi/h passes directly over a...

A: We can solve the given problem by using the Pythagorean theorem and the derivatives.

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of int...

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Q: Q1) Evaluate the following integral using By Parts Method: х.In(x3 + x) dx

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Q: fy re aris Find volume

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Q: Determine whether the series converges, and if so find its sum. 4k+2 Σ 7k-1 k=1 1) This series can b...

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Q: Find the derivative of the following functions using the limit definition.  1. z =7y2- 11/y 2. f(z...

A: From limit definition of derivative we know, f'(z)=limh→0f(z+h)-f(z)hand f''(z)=limh→0f'(z+h)-f'(z)h

Q: Use sigma notation to write the Maclaurin series for the function 5 In(1+x) Σ

A: To find: The Maclaurin series of the function f(x)=5ln(1+x). Concept used: The Maclaurin series is f...

Q: 2. Evaluate [log(-1-/)(-2- j2)] tan(4 + 3i) cosh-1

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Q: y = /x+ /x

A: We will use algebraic techniques to find the derivative.

Q: хdу + (у — ху + 2\dx — 0 %3D

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Q: Part b: Continue to assume that the height of your cylinder is 8 inches. Write the radius r as a fun...

A: Solution is written in below steps.

Q: Use logarithmic differentiation to find the derivative of y with respect to the given independent va...

A: Given query is to find the derivative of the expression.