e 2x Evaluate the integral of e* +1 xp-

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A: Let's find. 

Q: y"-7y'= (2x –1)sin 2x

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A: It is required to give the definition of a limit and how can it be found using tables and graphs.  

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Q: d 1. Evaluate: dx [V5 5+ (x° + 1)³ d cos* x + sin* x dx 4 4 2. Evaluate:

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Q: 18. If x? + 2xy = y? then y' is x+y b. 2x + 2y a. y-x d. -x C. y 19. Evaluate S(3VE+ dx a. 2x + 4 V ...

A: I am attaching image so that you understand each and every step.

Q: x3 dx = (x* +4)2 8.

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Q: An+1 -to determine if the sequence an { Use the ratio is 4n + 6 J =1 strictly increasing or strictly...

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Q: Solve the diff eq (xy² + x- 2y +3)dx + (x³y - 2x – 2y)dy = 0

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Q: . Find all the second-order partial derivatives of the function z = f(x, y) = e2xe"

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Q: In integrating the function fx cos(3x) dx using integration by parts, what would you choose for your...

A: Let ,I=∫ xcos3xdxSubstitute  u=3xdifferentiate du=3dx⇒du3=dxI=∫ u3cosudu3I=∫ucosu9duTake the constan...

Q: Directions: Choose the letter of the correct answer. Write the letter tha corresponds to the correct...

A: Using Definition of Transcendental function Rules of limits.

Q: WHich of the following represents the shell height if the shell method will be used to find the volu...

A: Given problem:- Which of the following represents the shell height if the shell method will be used ...

Q: a. For the function and point below, find f'(a). b. Determine an equation of the line tangent to the...

A: Given,f(x) = 3 x2 + 5x a)f'(x) = df(x)dx = 6x +5f'(a=-2) = 6 . (-2) + 5                = -12 +5     ...

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Q: Solve the diff eq (ху?+x-2у+3)dx +(x?у — 2х - 2у)dy %3D0

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Q: Use any method to determine whether the series converge. (a) 11k k=1 8.

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: following

A: We will use rhe graph of the derivative to find the intervals. 

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: Answer is following ..

Q: WHich of the following represents the shell height if the shell method will be used to find the volu...

A: Given: x=5, y=-x+1, y=0 From the given lines the bounded region is as shown below;

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Q: ∫(x2-2x+1) / (x2-2x-3)5/2 dx solve using integration by parts

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Q: 1. Calculate for one real root of tan x = 4x with xo 1.2 %3D up to six decimal places using the Newt...

A: Ques : tanx=4x f(x) = tan(x)-4x f'(x) = sec2(x)-4 x0 = 1.2 By Newton Raphson method xn+1 ...

Q: WHich of the following represents the shell height if the shell method will be used to find the volu...

A: For Understanding of the shell method (Revolution about the x-axis):

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A:   sum of infinity terms of geometric series=first term1-common ratio

Q: Let f(x) = /1– x and g(x) = . Determine the following composition and its domain. g° g

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Q: Question 1 If T is a linear transformation such that T(1, 0, 0) = 2, T(0, 1, 0) = 3, and T(0, 0, 1) ...

A: A detailed solution given below.

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Q: 3x2 sin? x dx

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Q: For each given combination of values of lim f(x) and f(c), sketch the graph of a Xー→C possible funct...

A: To sketch the function with the given details.

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Q: Vrite the first five terms of the sequence: +o0 ´13 In n n n=1 Determine whether the sequence conver...

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Q: a) On what interval(s) is fincreasing? b)On what interval(s) is ƒ decreasing? c) Where does f have a...

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Q: Eliminate the arbitrary constant a from the equation (z - a) + y = a O = + 2ry' O = + 2ry Ov =+ 2ryy

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Q: 11T Find the exact value of tan 6. 4т • sin (That dot between the two trigonometric functions repres...

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Q: Find the complete solution of dy + ydæ = 2ry e" da 01= ye" (C- z) 01=yle(C-') O1= ye" (C + z*) 01=yt...

A: we have to find the solution of  given differential equation.