Set up but do not evaluate an integral that represents the volume of the solid of revolution = 2x + 1 and y = (x − 1)² about the obtained by rotating the region bounded by the curves y = y-axis.

Q: 4 Find the area of the region bounded by x = 2y²+1 and the y-axis using the horizontal strip.

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Q: Using exact Solution, find the general solution of the following differential equation: (cos2y -…

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Q: 5.) I. -2 -3 -6 2 Simplify. Write "undefined -4 6 0 +

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Q: INSTRUCTIONS: Please write clearly and understandable way. • Write all the corresponding Given with…

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Q: Solve the following system by Gauss-Jordan elimination. 2x1 + 7x2 + 33x3 = 29 6x122x2 + 105x3 = 91…

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Q: n+an-1+an-2+...+ hat is the lim ´x→∞ (n − 1)x¹−¹ + (n − 2)xn−2+...+ï' −‚n €Z+?

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Q: Find the first and second derivative of the function. 3 G(r) = √r + √r G'(r) G"(r) || =

A: Find the derivative

Q: (d) Give the local maximum and minimum values of f (x). Enter your answers in increasing order of…

A: Local maxima and minima and concavity

Q: Evaluate: ²₁² [(x²-²²] du dt x+y

A: On solving this we will get

Q: The value of A. - 3 cos (1²/³) + C C-3 cos (¹/3) + C sin(1¹/3) dt

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Q: Function f is graphed. -4 -3 -2 A Y 4 3 2 t 1 1 4 2 3 -1+ -2- -3- -4 Find f (2) da. Give an exact…

A: We can find the given integral by using the application of the integral.

Q: Solve the given differential equation. All solutions should be found. dy 3x²-2y-y³ 13 dx 2x + 3xy²…

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Q: ∞ ∞ dx 2 x² +9

A: Given :∫-∞∞dxx2+9

Q: - 2.f(x,y) = y²x¹ey.

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Evaluate the integral: -2е π/3 ƒºƒ²² ƒ”¹/³ t ln u tans ds du dt see

A: Given

Q: Evaluate: ₁ [2³(x + y)³] dz dy dx

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Q: Use the table of integrals to evaluate the integral. 2 √2²47x²³ √4x²-x+ d² dx

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Q: -2 Evaluate: ²₁5²[(x²-²²] | du dt x+y

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Q: Evaluate the integral by making the given substitution. (Remember to use absolute values where…

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Q: Evaluate: xy² dx dy

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Q: Find the center and radius of the circle with the equation  x^2 + 10x + y^2 + 10y -146 = 0 enter…

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Q: Find the area of the region bounded by x = 2y² +1 and the y-axis using the horizontal strip.

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Q: dy Write down a differential equation of the form dx 17 all other solutions diverge from y = as t →…

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Q: Let L(y)=(x-1)y" - xy + y a) with the observation that y, zx is a solution of L(4)=0 on (1,00), by…

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Q: Example 1: Evaluate the integral: ₁²²=238+1² 2r-3 - 3x + 1 dx.

A: The given integral is (2x-3) /sqrt(x2-3x+1), limit from 3 to 5.

Q: Problem Revolve about the (a) x-axis and (b) y-axis the area enclosed by y²=x and y=x³.

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

Q: odules CALC 2 INTEGRAL CALCULUS ACTIVITY 1 Evaluate the following. Show your complete solution. 1. f…

A: The integration of the integrals are;  1)z5 2)y1/3 3)6/x4. Repost the next parts.

Q: dx (x² +25)3/2

A: To find the integration.

Q: Use the equation = Σ x" for |x| < 1 to expand the function in a power series with center c = 0. - Ex…

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Q: Evaluate: ³4₁ [2³(x + y)³] dz dy dx

A: To evaluate the given integral.∫-43∫-12∫01z3x+y3 dz dy dx

Q: Evaluate: ³²₁₂[z³(x + y)³] dz dy dx

A: Given, ∫-43∫-12∫01z3x+y3dzdydx

Q: Given that f(z) = z-z where does f'(z) exist

A: Concept: z  is represented as  z=x+iy And its complement z¯ z¯=x-iy For f'(z) to exits only if…

Q: | √x dx 1 + √x A. x-2√√x+2ln (1+√x) + C 3. x-2√√x-2 ln (1+√√x) + C C. x-2√√x+2ln (1+√√x) - 3+C D.…

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Q: from the date set, find the value of f(7) by use lagrang method X 3 6 9 11 y 12 13 14 16

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Q: 2. Solve each of the following integrals using integration by part: a) √3x² In 2x dx b) 5x sin 3x dx

A: Integration is evaluated.

Q: B) Solve the equation (x+y-1)³ dx+4(x-2) dy=0.

A: Solution

Q: Given a second order differential equation dx X = e³t dt where t = 0, x = 2. 3t Using Laplace…

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Q: The diagram shows the graph of y=x.x20 for n>1. R B If the red area is three times larger than the…

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Q: 1. Identify the surfaces of the following equations by converting them into equations in the…

A: To convert a point from Spherical coordinates to Cartesian coordinates, use equations  x=ρsin ϕcos…

Q: -3 -t Evaluate the integral: Soft²eu du dt е

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Q: Determine the exact length of the polar curve r 3 sin for 0≤0 ≤T. =

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Q: Solve the initial value problems dy 19. (x + 1)- dx -2(x² + x)y=x+1' x>-1, y(0) = 5 dy 17. 0 + y =…

A: Given (x+1)dydx-2(x2+x)y=ex2x+1       y(0)=5, x&gt;-1To find Solution of Differential Equation:

Q: CSC X csc x - sin x - dx

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Q: Consider a continuous function f(x) = 2e-1-2x, which is true about the relative extrema of f? f has…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Does the following series converge or diverge? 4√√n Σ 3/2 10n +7n+7 n=1 O The series diverges. The…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Obtain the general solution of the given differential equation: dy = cos²xcosydx

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Q: The value of A. sin-¹ x +√1+ x² + C B. sin ¹x-√√1 + x² + C C. sin-¹ x + √1- x² + C D. sin¹x-√1- x² +…

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Q: Q4/Find the slope of the line 3x-4y=-8 and then find the distance from the point P(3,-2) to this…

A: Given Equation of line3x-4y=-8To find slope &amp; Distance.

Q: 10) y7 exbx

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Q: Simplify. Write "undefined" for expressions that are undefined. -3 -6 6 1 4 -4

A: Given that a  matrix problem and we do simply these matrix by using general property of matrix.…