x + 20 g(x) = { 3Cx + K if – 2 < x За — 2K if x < -2 | if 1 < x -

Q: Show that the following are equal using set identities. Provide the correct solution with the name…

A: The left side is: C∩C-B∩C∪A∩B-B∩C-A We first simplify inner parts:  C-B∩C A∩B-B∩C

Q: Sx. Svau Using Integration By Parts, x Arcsec 3x dx = u v- Find UV- du O 1 x2 Arcsec 3x 2 dx V9x2 -…

A:

Q: – (x²- 1) dx using P (1 -;*)-^;* / * m in terms of A?

A: Use simple integration formula.

Q: A 11. (2x- 3) dx 12 (+ 2x) dr SG²– 2) dr A -2 13. 1HIO

A: 11) ∫022x-3dx    A. -2 Explanation: ∫022x-3dx=2∫02x dx-3∫02dx                      =2x2202-3x02…

Q: Find the total area enclosed between y = x and y = x over th- %3D interval [-1,6]. NOTE: Enter the…

A: Here, to find the area enclosed by y=x3 and y=x over the interval [-1,6].

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A:

Q: x2 +x+1 3. dx. Use partial fractions. 2x2 +2+x+x

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Q: 3x — 1 - dx (x – 2)(x + 5) 3 In |æ – 2| + In |æ + 5| + C 3 In |æ – 2| + In|æ + 5| + C O A Ов 16…

A:

Q: Use polar coordinates to evaluate the integral er+y dA R where R is the region that lies in the…

A:

Q: Given that lim f(x) = 0 Xa lim g(x) = 0 Xa lim h(x) = 1 x-a lim p(x) = co lim g(x) = ∞, evaluate if…

A: We need to find limit.

Q: 4. S Vä(x² + 2) dx 5. S(-3 Vã – 6x v7) dx 6. (9x*-6x²+7x²-5x+15 dx 3x

A:

Q: x²-9 dx Given: x3 Using trigonometric substitution, solve for the integral form in terms of 0.

A:

Q: Given the function f(x) =2+3x - x³. Determine the intervals where f is increasing or decreasing,…

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Q: Svain2x dx =uv- fvdu - Svau. x/x In 2x- Vx dx v- Svau- Using Integration By Parts, Find uv- Jv du O…

A: Find your answer below

Q: x +5 Given the function g (x) find g' (x) x² +6x O 8' (x) = x* +6x³ +5x² +30x x² (x+6)? O 8' (x) 2x3…

A: Given, gx=x2+5x2+6xDifferentiate…

Q: (a) How many integers from 200 to 2000 inclusive are multiples of 4?  (b) How many integers from…

A: As per our guidelines we are supposed to answer only three sub parts of the question. So I am…

Q: Evaluate | 4x2 + 4x + 5 dx

A:

Q: How can you relate antiderivatives as an opposite of derivatives in your life? explain

A: Solution is given below:

Q: 3) consider the regionnin the second quadrant betueer the circles x?+yZ=4andx2+y2=25, and above the…

A:

Q: 3.) Find the area bounded by the curve y = 2x and y =x-4 a.) Using Vertical strips b.) Using…

A:

Q: Find the derivative of the function y=(4x+1)^5(3x+1)^-4

A: We can find the derivative as below.

Q: x² - dx ? Using trigonometric substitution, what is x3

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Q: (x – y)dx + xdy = 0.

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 2x4 +3x2 – 1 Rewrite dx as integral of sum of partial fractions. (x³ – 4x² + 5x) B + x-5 C E dx (x +…

A:

Q: 2. A dosage of Q units of a certain drug is administered to an individual every four hours. Assume…

A:

Q: Evaluate the integral. dx :+ C J 22 Va2 – 36 x² /x? - NOTE: Enter the fully simplified answer with…

A:

Q: " + Oy' + 9y = 0, v(0)= 1 and y'(0) = 4.

A: The given IVP is y"+6y'+9y=0,   y(0) =1, y'(0)=4 we have to solve the IVP.

Q: I. Evaluate | 4x² + 4x + 5 dx

A:

Q: 3. Sin x dx 3- COS

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Q: ーx? + 4x +5 dx. Consider Using trigonometric substitution, what is the integral form in terms of

A:

Q: Q1: Use Green's theorem to evalute f. (xy + y2)dx + x²dy by the curve y = x and y = x2.

A: Given problem:- Use Green's theorem to evaluate ∫c (xy + y2 )dx + x²dy  by the curve y = x and y =…

Q: Given: dx x3 Using trigonometric substitution , solve for the integral form in terms of 0. A sin? 0…

A:

Q: 1) Hs] Solve the IVP: y" – 8y + 16y = 0, y(0) = -3 and y (0) = -1. %3D |

A: Use homogeneous differential equations to find solution.

Q: Consider the equation below. (If an answer does not exist, enter DNE.) (x) = xe8x (a) Find the…

A:

Q: 3 2 3. Vxydydx = Vxdx Vydy Select one: O True O False

A: We will evaluate the Integral of left hand side and right hand side then we will compare them .

Q: BLUsing the following table, find f(x) as polynomial in x: -1 3 6. F(x) -6 39 822 Good Lup 3.

A: Let's find.

Q: 3. 2 What is the value of the integral 7xyz dxdydz ? 0, Select one: O 133/4 O 135/4 O 137/4 O 139/4…

A: To evaluate: ∫23∫12∫017xyz2dxdydz Let I = ∫23∫12∫017xyz2dxdydz First integrate with respect to x and…

Q: A rectangle is constructed with its base on the x-axis and its upper two vertices on the parabola y=…

A:

Q: Consider the following function. f(x) = x3 - 3x2 – 9x + 5 Find the first and second derivatives.…

A: Since, you have posted question with multi-parts. As per guidelines, we"ll solve only first three…

Q: Direction: Find the integral of the following functions: 1. S(5 cos x + 7 sin x) dx 2. S(3tan2…

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Q: Find the length of the spiral r = 80 for 0 < 0 < 3. (Use symbolic notation and fractions where…

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Q: Find the derivative of the function. 5 + 6x - 4/x y% =

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Q: Q5/Find the Laplace Transform 3-f(t) = sint cos t

A:

Q: Let C be a curve that is defined by x = 4 sint and y = cos t, t e [0, 27]. Determine (a) the time…

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Q: Integration by Parts Example 4. Evaluate In x dv,

A: The given integral is: I=∫lnxdx   As we know that; ddxlnx=1x

Q: A. Arcsec x - 25- xdx xdx B. 글x Arcsec x-를- В. C. * Arcsec x + 25- Vx -1 xdx xdx D. 글x + 글- Arcsec x

A: Given

Q: 9-x2 dx. Use trigonometric substitution. x2

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Q: + Inx y(In2x – Iny)

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Q: Solve the following problems. 1. Name and sketch the graph of y² = z in R³. II.

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Q: g(b) Use the Substitution Formula, f(g(x)) g'(x) dx = | f(u) du where g(x) =u, to evaluate the…

A: