The plane region is revolved completely about the​ y-axis to sweep out a solid of revolution. Describe the solid. Then find its volume in terms of π. v=

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Q: Evaluate: sec²(4t) [3-tan(4t)]³ dt a.-16 [3-tan(4t)] + C b. | [3 –tan(4t)] + C 4 OC. 1 [3-tan(4t)]…

A: integration

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Q: Evaluate the iterated integral. 6 (x + y) dy dx Jo Jo

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Q: Solve the differential equation below using series methods. y’’ — 4xy' — y = 0, y(0) = 4, y'(0) = 2…

A: Here, the given DE is: y''-4xy'-y=0    ...(1) with y(0)=4,y'(0)=2

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Q: Find the indefinite integral. Solution in handwritten. 1. fx sin x² dx

A: Indefinite integral

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A: Topic:- calculus

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Q: 3. Find 4 {0 21 jucosudu } using the properties of Laplace transform.

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Q: Find the indefinite integral. Solution in handwritten a. S dx sin x cos²x

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Q: An experienced carpenter can frame a house twice as fast as an apprentice. Working together, it…

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

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A: Let's find.

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Q: Evaluate the following integrals. Show complete solution and your answer must be in simplified form.…

A: To Find :   ∫11+cosxdx

Q: 3 Evaluate x² 2 SOFT S S x² sin y dy dz dx

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Q: (a) (c) 1² diz +1 cos(50) de (b) (d) √ X x² + 1 I √x+1 1 dx dx

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Q: 1. y = (5x + 2) (3x² + 7)7

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Q: The cos³dy is {A}-sin+sin³+C 3 3 3 4 {B} sin¹-sin³+ C 3 4 3 4y (C)-sin-sin³+C {D}sin+sin³+ C

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Q: 5. y = cos x sin²x What is the appropriate formula? Solution:

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Q: The first derivative of the function f(x) is given by its graph.. f'(x) 3- 2-

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Q: 27. ·√ √(x + 2√1-x²) dx _28. [₂ (2+√9 − x²) dx -3

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Q: Consider the function f that is continuous on the interval [-5, 5] and for which ff(x) dx = 4.…

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Q: A loaf of bread can be modeled by a rectangular prism topped with half a right. cylinder. Katherine…

A: A loaf of bread can be modeled by a rectangular prism topped with half a right cylinder. Katherine…

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Q: Evaluate the following limit using L'Hospital's rule. Provide your answer below: دی lim (4x) X18

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Q: Given: X == In(x²y - 1) y Find dy/dx. dy dx x²y-1 y-1 (E) None of these 1 2xy dy y x²y-1 dx + dy dx…

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Q: 4x+10 1. S (x-2)(x-1)² dx

A: Given integral ∫4x+10(x-2)2(x-1)2  dx

Q: The graph of a function f is shown below. 6 -1 -2 1 Suppose the function g is defined as g(x) Fill…

A: In this question , we can find the limits of the function. Check when 'x' approaches to 'a' , the…

Q: Consider the function f that is continuous on the interval [-5, 5] and for which ſo f(x)dx = 4.…

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Q: Evaluate the iterated integral. LS²(x+y (x + y²) dx dy

A: Given query is to find the value of the integral.

Q: a²z 0²z Determine + Ər² მ02 if z = tan-1 0 r + r r²+02

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Q: Prove sinxtanx + sinx tanx 1 cosx is an identity.

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Q: Evaluate fi fi fi (xy+z)dxdydz Note: input your answer in two decimal places (example: 1.05, 2.53,…

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Q: x +4 x²+2x+5 1₁ da

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Q: f cos(mx) cos(nx) dx is equal to {A} [sin(m + n) + sin(m − n)] dx {B} [sin(m + n) - sin(m − n)] dx…

A: Let's find.

Q: Evaluate the iterated integral. [(x + y) dy dx

A: Here is the solution:

Q: 1. Find by implicit defferentiation dy dx CS wanne+with CamScanne

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Q: Given that the tangent and normal to a curve at point P(x, y) meet the x-axis in A and B…

A: It meets the x axis in A and B respectively and y axis in D and E respectively.To Find: Family of…

Q: Evaluate the following: 1) S x² √1 + x dx

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Q: How much money must be invested now at 10% interest compounded continuously so that $120, 000 will…

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Q: 3. Evaluate the double integral: ²₂2(x+3) dy dx 4. Evaluate the triple integral: ₂ dx dy dz Z

A: Topic:- multiple integration

Q: 1. f(cos 3x - x²) (sin 3x- x³)5 dx 2. f cos² x (tan x) (sec² x − 1) dx 3. f tan x (sec² x - 1)(sec²…

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Q: Sketch a function that is continuous on (-∞0,00) and has the following properties. Use a number line…

A: We need to choose correct options for graph of f'(x).

Q: m(x) be the slope of the tangent line to the curve y = 2x3-6x² + 3x at the point (x, y). Find the…

A: Slope of tangent line is dy/dx