Given: ((x)dx Evaluate f(v2). There is a function f(x) such that when u = -x³, the resulting integral is S 2du A 12 -12 6.

Q: Given: 5x cos 3x dx. If u = 3x, then the resulting integral is f(u)du. Find f ): 5/2 18 18 5/2 12 5/...

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

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Q: If g(x) = f'(x) and if g(x) = (cos x – x sin x)e*cosx, then S g(x) tan(f(x))dx is x cos x

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Q: Let s- dx be given . If u = e* + 1, then the resulting integral is S f(u) du. Compute f( er+1 3 A n ...

A: Given query is to find the value of f(3).

Q: Evaluate the integral. x sec (3x) dx = +C

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Q: a. 2 sec (5x²) tan(5x²) + C b. tan (5x) + c c. 10 tan (5x) + c d. none of the above 27. Evaluate csc...

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Q: 1- 8x + 72(-1) (k + 7)! k! k=2

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Q: Find the derivative of the function at Po in the direction of u. x- 5y g(x,y) = Ро(1, - 1), и%3 3і +...

A: To find the derivative of the function  g(x,y)=x-5y5xy+7 at P0(1,-1)in the direction of u=3i+4j=<...

Q: e3x Let dx be given . If u = e* + 1, then the resulting integral is S f(u) du. Compute f(3). ex+1

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Q: Find the derivative of the function without using the Quotient Rule. y = 63 8(x)10

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Q: a. When the observer initially spots the ship, the angle of depression for the observer's vision is ...

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Q: Consider the expression ſ V4 – x² dx = F(x)+C. The expression %3D F(2) – F(-2) is equal to

A: Here we have to evaluate F(2)-F(-2)=? We have, ∫4-x2dx=F(x)+C

Q: Find the Taylor polynomials of orders n = 0,1, 2, 3, and 4 about a = x0 |and then find the nth Taylo...

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Q: I. Evaluate the following function below. 3 2 1. S sin'y ( 2 – 3 cos y )´dy 9 3. S sin'x dx 9 4. J c...

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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: The integral / 2' )cos(2*) dx takes the form k cosu du when u=2* and f (x) =x- 5. What is the value ...

A: we use the formula ddx(ax)=ax lna

Q: Find the radius of convergence of the power series. (If you need to use o or -00, enter INFINITY or ...

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Q: 2:(y-x² )dx+ dy =0 1.

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Q: 2. Find the imit lifany) メー5 X-25 lim X25

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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 Eva...

A: topic - functions

Q: Consider the function f(x) = 2x° + 4x" – 8x² – 8. An antiderivative of f(x) is F(x) = Ax" + Bx™ + Cx...

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Q: メ+

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Q: Use sigma notation to write the Taylor series about x = xo for the function. 4 In x; xo = 1

A: Taylor series of function fx at a is defined as:       fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+…=0+ddx...

Q: Determine whether the series converges using the Ratio test. Σ 4* k8 k=1 The series

A: Given query is to find series converges or diverges.

Q: Q5) Use the Chain Rule to express dy /dx in terms of x and y: y = csc t аnd x = sec-1 t

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Q: Write the trigonometric expression in terms of sine and cosine, and then simplify. cos(u) cot(u) + s...

A: Question- Write the trigonometric expression in terms of sine and cosine,and then simplify:  Cos(u) ...

Q: When the linear differential equation is multiplied by an integrating factor the equation will becom...

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

Q: Find the differential equation whose solution is given by: y^2=4ax

A: To find the differential equation for               y2 = 4ax differentiate this equation with respec...

Q: ew PollCies Current Attempt in Progress Find the general term of the sequence, starting with n = 1, ...

A: Topic:- sequence and series

Q: 27. What is the simplest form of sin 2 tan'x A) 1+x B) 21+x? 2x C) 1+x 2x D) |1+x?

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Q: cot 2x J Vcot 2x – 15

A: Given,           ∫cot2xcot22x-15dx

Q: solve using Firs Order Linear Differential Equation

A: Topic:- differential equations

Q: Use the Quotient Rule to find the derivative of the function. Re) = Sos(t) f'(t) =

A: We will find the derivative of the function f(t) as following.

Q: ollowing functions: b) y = (cos x)Vx*

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Q: Given A=3az +3ax -2ay, B=2ay -ax +5az, C=3ax +2az +2ay and D=-ay +3ax -2az. Find scalars a, b and c ...

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Q: A)Find the area of the region y=tanx , y=2sinx, B) Find the volume of the frustam of a pyramid with ...

A: For C reupload it according to bartleby guidelines

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 length of latus rectum of the curve x² – 6x + 12y – 51 = 0.  a. 12 b. 13 c. 14 d. 15

A: The given equation is;  x² – 6x + 12y – 51 = 0. 

Q: 9 Evaluate xp.

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Q: Find the indefinite integral. (Use C for the constant of integration.) cos5 t dt V sin t

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Q: k(k +7)

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Q: Given: S 5x² cos 3x³dx. If u = 3x³, then the resulting integral is S f(u)du. Find f (*):- ... 5/7 5/...

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Q: Solve using the U-Technique Question 8 Given: S . There is a function f (x) such that when u = -x³, ...

A: Given: ∫2f(x)dxe-x3   , u=-x3

Q: 1 (ke)3x For ſ k*e3*dx = + C. If u = 3x, then k =? 3 (1–In 2-1)

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Q: The graph of one complete period of a sine curve is given. y 9- 3 A -9 (a) Find the amplitude, perio...

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Q: k E(-) k=1 If p = + 0, enter "inty". II

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Q: The integral / 2/ (*) cos(2*) dx takes the form k cosu du when u=2* and f (x) =x – 5. what is the va...

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Q: S 4x -Ry +32 = -2 2x +2y + Sz = 15 X+2y+3z=-3 -1x ty-2= 6 ! 3x-3y +22 = -4 ち=えも-s-x8 14+3x+2< 4y-2x ...

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Q: Q2) Show that y = 35 x* – 30 x2 +3 satisfies ( 1- x² )y" – 2xy' + 20y = 0 %3D

A: y =35x4 - 30x2 +3 satisfy (1-x2)y" - 2xy' +20y =0 for this wew find  y" and y' y' = 140x3 - 60x y" =...