Set up the integral to find the volume obtained by rotating the region contained in9 = y = 1, and ax = 1 around the line x = 4.

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Q: True or false. 1. A conic section with equation (x-h)2/a2 - (y-k)2/b2 = 1, we have c ≥ a. 2. If f ...

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Q: 2, 1³ – 6, if a 2 9. Determine whether each of the given limits exists or does not exist. a. lim f(x...

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A: As per the guidelines, we are supposed to solve only one questions as multiples questions have been ...

Q: +[2yln [2yin (3 3y²dx 3siny dy = 0 ;when x = 1, y = 0 5x x2+3x x+3,

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Q: Find the moment of inertia of the region between the parabola y = 8 − x2 and the line y = 2 – 2x fro...

A: Our Aim is to find the moment of inertia of the region between the parabolay=8-x2 and the line y=2-2...

Q: (2x-3y+6)dx-(4x-6y+2)dy=0 in Linear two variables with POI

A: Here, the given differential equation is: (2x-3y+6)dx-(4x-6y+2)dy=0 The equation can be written as: ...

Q: S sin x e cosxdx

A: The objective of the question is evaluate the given indefinite integral using substitution method.

Q: 2. Let g(x) = tan(x/2). Find the area of the region bounded by y = g(x) and the x-axis for -2sx S2. ...

A: NOTE: Refresh your page if you can't see any equations. . the given interval is  so the lower and ...

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Q: (5) (2x – y) = 2y – x | dx (6) (02 + 1) cosr dr + 20 sinr de = 0 %3D

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Q: C. Find the average rate of change (ARC) of f(x) on the interval 4 < x < 4 + h. Note: your answer wi...

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Q: dy (5) (2х — у) — 2у — х dx

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: 2x-3y+6)dx-(4x-6y+2)dy=0

A: Given that: (2x-3y+6)dx-(4x-6y+2)dy=0

Q: In 2012, 34.1% of all glass containers were recycled. A beverage company used 400,000 lb of glass co...

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Q: 5. Ydx - xdy + x(2 – y)dy = y? e dy

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Q: S(s – 3)(2s + 9)ds

A: Evaluate the integral 

Q: . Find the domain of the inverse of the function f(x) = −3√4− x  + 5.

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Q: f(x) = 1 and lim g(x) 15. If lim = 2, then evaluate each limit. x→0 x→0 X f(x) b. lim x→0 g(x) a. li...

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Q: 5. Evaluate the following and give at least 5 non – zero terms: п-1 n(n + 1) x + (2n – 7)(2n + 9) dx...

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Q: The shape of y shifted right 3 units and shifted down 4 units.

A: Follow the procedure given below.

Q: 5) [ e sin e dx

A: Topic = Integration   As per guidelines , At  a time only one question can be answered.

Q: f(x) g(x) = 3x – 5 Зх — X + 5'

A: Solution

Q: rectangle is formed by the vectors (4,1) (1,3) and (3,3). Determine the area of the rectangle, expla...

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Q: 4 = X*+5x -a x" +3 %3D

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Q: ompute the following limits through an algebraic approach or L’Hospital’s rule where applicable

A: Given that: 1. limx→212-1xx-22. limx→01-cos2xx2

Q: The orthogonal trajectory for x^ 2 =ce^ x^ 2 +y^ 2 is

A: Orthogonal trajectory

Q: (a) Suppose g(x) = L flm2, f(1) = 3 and g'(1) = 7. Find f'(1). f(x))² * (b) If g is a twice differnt...

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Q: 2 + dx

A: Given :∫5x-3x2+2x4dx

Q: Graph the following function over a two-period interval. y = -3+2cos x C.... Choose the correct grap...

A: The Solution is given below-

Q: For problems 1e $ 19. logarithmic use differentiation to Find dy 3x ų = (sin 4x)"

A: 18)y=(sinx)3x

Q: please

A: Please refer to the image below

Q: dy + ( 1+x)y = e * sin2x dx

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: If vector A is any non-zero vector, a unit vector in the same direction of A would be?

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Q: dx 10. J V2x2-1

A: See the details solution in below

Q: S,(8x² – 3x² + 5x + 4)dx

A: We will evaluate the integral in the following step.

Q: J csc 3x dx

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Q: 3. 3x2y2 dx + (2x ³y + x³y*)dy =c

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Q: function is in a form of y = ax^3 + bx^2 + cx + d. It has relative maximum at (3, 3) and point of in...

A: Here we use the basic concept of differentiation for finding the relative maximum and point of infle...

Q: Find the integral of 12sin5xcos5xdx if the lower limit is 0 and the upper limit is 90o.   A. 15.5 ...

A: Using definite integration.

Q: For what values of x are the following functions NOT continuous. 4x² – 17x + 15 (x) = Vx² – 25 b. f(...

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Q: Find the degree of the term – 5: - Find the degree of the term 6x°: Find the degree of the term læ?:...

A: To find the degree of the polynomial.

Q: Solve the initial value problem. dy = 5 e -t sec? (5x e), y(In 4) = 4 / r 3D5 e - t dt y%3D (Type an...

A: The detailed solution is given below Thank you 

Q: Direction: Find the derivative of the function. 2e Select one: O y' = 4z? – 1+ 2e² O y' = 4z² +1 – 2...

A: according to company rules,i need to solve first question when multiple questions are posted so solv...

Q: Determine the period of the given function. y = -3 sin 8x + 2 ... O A. 8 O B. I O C. 3 O D. - 4

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Q: a) Find the inverse of the function. b) Sketch the graph of f (x) and f-1(x) on the same Cartesian p...

A: Given:  fx=-lnx-10 To Find:  a To find the inverse of the given function.b To sketch the graph of fx...

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Q: Solve the given differential equation by undetermined coefficients. y" – y' + y = 2 + ex/2 %3D y(x) ...

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Q: If a non-winning choice is removed from the ballot, this criterion states that the winner of the ele...

A: Option b)

Q: Do vectors (2,0,1) (-2,0,0) and (2,3,0) lie in the same plane? Explain your reasoning

A: