given the surface revolution x^2+z^2-5y=0 find the equation of its generating curve in the yz-plane rotating through the y-axis

Q: 3 2.)f x³ (4 + x²)² dx ; Use rationalizing substitution

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Q: Find f'(x) for f(x) = - 8A√x - 5Bx⁹ where A and B are constants. Completely simplify any fractions.…

A: Solution of given question is written in below steps.

Q: Q5: Find for the following functions: dx (4) y = x sinh 2x-cosh 2x (3) y = e* sin² x In√x

A: See this solution in below

Q: 2. Integrate the rational function below without using partial fraction decomposition. S -dv

A: Integrate the rational function below without using partial fraction decomposition v2/(v6-1)

Q: 2) × 2+4i 3+1 and 2=3-1 2+i 2 prove that x² + 3xy + y² = 6 if it was

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Q: find an equation in spherical coordinates for the equation given in rectangular coordinates x^2 +…

A: We have to find spherical coordinates form

Q: Evaluate the definite integral. S √4x + 3dx

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Q: g(x) dx = (Simplify your answer.) 7 4g(x)dx= 2 (Simplify your answer.) 7 [g(x)-f(x)]dx = (Simplify…

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Q: 10.¹ (3x² - y²) dx + (xy − x³y¯¹) dy = 0 2 du

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Q: Q5: Find dy dx (1) In(x - y) = xy + y³; for the following functions: (2) y = tan³√/cot(7x);

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Q: (g) Determine the minimum or maximum value of the function. (h) Write the domain and range in…

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Q: The following function is positive and negative on the given interval. f(x) = 8 - 2x²; [0,4] a.…

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Q: Q2: Solve the following int (1) dx 1 (x+3)(x+7)

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

Q: Solve the given initial-value problem. y(x) = y" + 6y' - 7y= 11e²x, y(0) = 1, y'(0) = 1 2x 7e -7.x…

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Q: 2 x²log₂ (x) dx S

A: Please show complete solution. (Use integration by parts)

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

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Q: 34. dx = x³+4x² + 5x - 1 is given. What is ƒ(1)? A.-7 B.3 C.-2 D. 16 35. Evaluate the integral f(x²…

A: 34) The integration of the integral is f(x)/x2=x3+4x2+5x-1.  35) The given integral is…

Q: Q5: Find dy dx (1) In(x - y) = xy + y³; for the following functions: (2) y = tan³√/cot(7x);

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Q: (B): Find the tangent equation to the curve y = sin² x at point x =

A: I have stated the used formulas in the solution.

Q: (C): Solve the following equations:- (1) sin 2x + 2 sin² = 1

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Q: 1) - 7x²+14x+15 (x²+3)(x+7) dx

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Q: dw (C): If w = tan x and x = 4t³ + t ; Find dt

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Q: 62. y + y = 22 +10x X

A: To find out the general solution of the differential equation.

Q: parametric

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Q: LI) Prove that (3

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Q: -2- 0 y = g(x) 4 7 x

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Q: Q5: Find dx (1) In(x - y) = xy + y² : (4) y = x sinh 2x-cosh 2x for the following functions: (2) y =…

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Q: Q3 :(A): By using "L' Hopital rules "; Find the limits of : (1) limx-ol 1-cos x sin²x (2) lim, o…

A: 3 1) limx-0[1/(1-cosx) -2/sin2x ] 2) limx-0 (tan-1x-x) x-3

Q: 28. For each of the following equations, find the most general function N(x, y) so that the equation…

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Q: 1 3 (a) √ 2²³ + + + √²+2rdz [: x° 2x dx X (ln(x))² (b) / X dx

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Q: 2. Find the trigonometric integral. (Use C for the constant of integration.) Star tan(0) sec³(0) de

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Q: The graph of y = f(x) is shown. Use the graph to answer the question. Is f continuous at x = -4?…

A: The graph of the function y = f(x). With the help of this graph, we have to show that, Is the…

Q: Q1: Fill in the blanks for the following statements (chose five only) 4n 1. lim-00 2n+1 2. log10 (3x…

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first three parts of…

Q: Solve the following differential equations: a- (2x + 3y -2) dx + (3x -4 y +1) dy=0 b- (x²+3y²)…

A: The given differential equations are;  1) (2x+3y-2)dx+(3x-4y+1)dy=0 2) (x2+3y2)dx-2xydy=0.

Q: Find the volume of a solid of revolution formed by revolving the region bounded by the graphs of…

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Q: (B): Find the tangent equation to the curve y = sin² x at point x = = 33.

A: The curve y=sin2x at point x=π3

Q: 1. y = Arccos 1-x

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Q: Q5: Find dx for the following functions: (3) y = ex.sin² x In√x

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Q: y = sin(x), y = 0, x=0, x= π Exercise (a) the volume of the solid formed by revolving the region…

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Q: Q3/ A. For the following function f(x). Find: i. iii. f(x) = x² + 1 The slope of the f(x) by using…

A: We need to find out the slope using the definition.

Q: If you were to use a substitution of u = 4x³ - 2 to evaluate the definite integral below, what would…

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Q: Q5: Find for the following functions: dy dx (1) In(x - y) = xy + y² ;

A: Find the derivative

Q: Skill Building In Problems 13-24, use the graph on the right of the function f. 13. Is fincreasing…

A: Please see the answers below.

Q: SULWAY 5. x- 7. dx 9. dt In Problems 7-16, obtain the general solution to the equation. dy -y-e³x =…

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Q: | dx X æ /æ2+100

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Q: [ 81e-9 sin 9xdx

A: Please see the below picture for detailed solution.

Q: 3. Find the Laplace transformation of the function: f(t) = cos (2wt) cos (3wt). Hint: write cos(20t)…

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Q: S 2 (2x² + 1) dx

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Q: Q3 :(A): By using " L' Hopital rules "; Find the limits of: 1 (1) limx-o[: 1-cos x 2 sin²x (2)…

A: We have to find the limit using L Hospital rule.

Q: fe e sin xdx

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