24. Find the volume formed by rotating about the y -axis the region enclosed by: x = 9y and y3 = x with y 2 0

Q: The following series 3 2n- 4n+1 3n n=1

A: Series

Q: Line m is tangent to the circle. Find the indicated measure. 2. mRST 98

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Q: evail hupisuoɔ əui 8u the partial fraction decomposition for 5x² – 3 - f(x) (x³ – 4x²)(x² – 3x +…

A: We have to find out partial fraction

Q: Use the graph shown to determine if the limit exists. If it does, find its value. lim f(x) X-1…

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Q: dy Differentiate implicitly to find dx e**y = 8x + 3y +8 Evaluate the derivative of the each side of…

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Q: If ex) dx = 33 and/ ocx) dx = 16, find (4f(x) + 59(x)] dx.

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Q: The technique used to prove that x4 x3 , dx =- 2x + 2vZtan- ( 2/2tan + C x2 + 2 3 is Long…

A: We have to find the method

Q: At what point on the line y = b does the line segment from (0,0) to ( a,0) subtend the greatest…

A: We have to find the point where the angle is greatest

Q: + NR6. An exponential function can be written in the form y = a(c)* +kwhere the equation of the…

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Q: Solving by variation of parameters y"-3y =x we find that: O None of them O u1=(-1/6) x, u_2=-e^(-3x)…

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Q: 8. Sketch a graph (different for each) that satisfies the given conditions: a) f'(x) 0 if x -2 (x…

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Q: How do i solve the attached taylor series question?

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Q: Find the nth term of a sequence 2,5,10,17,26, ...

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A: Explanation of the answer is as follows

Q: 2) z= (1+t²)(3 - 2y); z' Ans: z' = -2(3t? + 3t + 1)

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Q: Solve the equation xydx - (x + 2)dy = 0

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Q: Ge + C2x e* + C3 x*e*

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Q: Using decomposition into partial fractions, 4x2 + 2 -dx x(x² + 2) is equal to In|x (x? + 2)| + C…

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Q: Determine whether the series is absolutely convergent, conditionally convergent or divergent. Please…

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Q: The position of a point at time t = 1 is (2, 4) and velocity of the point at time t is . Wha the…

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Q: Show all necessary solutions. I. Find the equations of the horizontal and vertical Tangents. a. 25x?…

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Q: Using the method of undetermined coefficients, a particular solution of the differential equation…

A: Given differential equation is y''-16y=2e4x. The characteristic equation is m2-16=0⇒m=±4. So, by the…

Q: Answer what is required in the problem. d 1 -dt 1+t dx .17

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Q: Using two or more complete sentences, explain how to find the sum of the geometric series. n-1 4 n=1

A: Infinite gp

Q: Find lim f(x). lim X--6 X-6 (Type an integer value.) (-6, 2) -2, 2) -12 -6 2, -2 (- 10, -4)

A: solution:-right hand limitlimx→-6+f(x)=0 f(-6)=0

Q: A. Evaluate the following integrals. 1. fxdx

A: Topic = Integration As per guidelines , At a time only one question can be answered out of different…

Q: The particular solution y, of the differential equation y" + 4y' + 4y 3x2 + 1 is (1/8) (1-2x+6x^2) O…

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Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

A: Here we have to find the surface area of a plane.

Q: 3) Evaluate the Riemann sum for f (x) = x² – 2x, a = 0, b = 3,n = 6. Taking the sample point to the…

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Q: Without evaluating the constants, the partial fraction decomposition for 5x² – 3 f(x) (х3 — 4x)(x2 —…

A: Finding the partial fraction decomposition without evaluating the value of constants

Q: What is the solution of D.E y"- 2y' = e*sinx when solved using the method of undetermined…

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Q: Find the x-intercepts(s). if any, of f. (Type integer values, separated by commas.) x=0 (6, 2) (-2,…

A: We need to determine x-intercepts.

Q: A. Solve the following problem involving derivatives 1. The position of a particle is given by the…

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Q: Indicate a general rule for the nth term of the sequence when a, = 2 and r = a, = (/2)(5y* a, =…

A: Given query is to find the nth term of the sequence.

Q: Find the intervals where the graph of the function f is concave up, concave down, and any inflection…

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Q: For the differential equation (x² – 3)y" + (x+ V3)y' + y = 0, singular point is a regular X=9 x=3…

A: Given

Q: Solve the second derivative(y") of the following function and simplify the final results. Show your…

A: We will find the second derivative.

Q: 4ln(Arctan x) = 1- y

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Q: Solve the second derivative(y") of the following function and simplify the final results. Show your…

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Q: Using appropriate trigonometric substitution, dx XV9 — х2 is transformed to

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Q: ropriate substitution, n³ (4x)cos*(4x)dx is equal to

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Q: limn→∞ √n = ∞

A: Given :limn→∞ n

Q: The terms of a series are defined recursively by the equations az = 5 5n + 2. an. an+1 4n + 11…

A: Here, the given series has: a1=5, an+1=5n+24n+11an

Q: xArctanx - Invx² + 1 = y

A: Topic:- derivatives

Q: The following are the critical points for the function f (x, y) = x³ Зху + уз - State what…

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Q: In Vix dx sce x dumx dX Serx tam

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Q: Let E be the region that lies inside the cylinder x2 + y2 = 64 and outside the cylinder (x- 4)2 +y2…

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Q: A long metal sheet with a width of L meters is formed into a gutter by bending up two of its sides…

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Q: 2.)S csc-³«(cosa)³da

A: Given ∫csc-3 α (cosα)3dαTo evaluate the integral:

Q: By writing the summation of the two power series E=3 (n– 2)(n+1)c,x"-3+ En=0 Cnx" = 0, we obtain:…

A: Please see the answer below.