Determine the area of the region bounded by x = –y² + 10 and x = (y – 2)².

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Q: 3. S? dx ( Improper Integral) (х-2)5

A: The given improper integral is: ∫13dx(x-2)23 Since the integrand f(x)=1(x-2)23 is undefined at x =2 ...

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A: We have to solve given integration

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Q: sin ede 1- cos e 8.

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Q: Evaluate the following definite integral. No decimal entries. Find exact value. 19 15х + 7 dx х — 7 ...

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Q: Exercise (2) If A and B are any (2x2) matrices. 1. C=A'+B

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

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A: Method of Lagrange Multipliers :            Solve the system of equations                         ∇f...

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Q: 1. f(x)=3sec(2r-45°)-2 | Amplitude: f(x) Period: Vertical Shift Horizontal Shift

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Q: haracteristic. 40 80 160 (A) y 2.2 2.2 2.2 2.2 -8 -4 8. (B) y 51 62 73 95 -4 -3 (C) y 18 4.5 -2.2 3 ...

A: Topic:- function

Q: Let f(x) = (7 – 2x)" f(x) has one critical value at A = For x A, f(x) is Select an answer

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Q: The length of a rectangle is increasing at a rate of 2 ft/s, and its width is increasing at a rate o...

A: Here we have, The length of a rectangle is increasing at a rate of 2 ft/s, and its width is increasi...

Q: Let r(x) = f(g(h(x))), where h(1) = 4, g(4) = 5, h'(1) = 5, g'(4) = 3, and f'(5) = 7. Find r'(1). r'...

A: To find out r'(1). 

Q: Identify and sketch a) wーg+ 14z?=4 b) 2 2 | 9 16

A: Let's find. 

Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact ...

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Q: Q4-Find the domain, range, intercepts, symmetry, and asymptotes y = f(x) = /x² – 5x + 6 -

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Q: Given the differential equation t2 y" - 3ty' + 4y = 0

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Q: 1. y 2x + 4x at point (-2,0)

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Q: 1. (2x² - x- y)dx- xdy – 0: y(1) = 0

A: Topic:- differential equations

Q: Find the equation of the plane through P(2, – 1,1) that is parallel to Il: 2x + 3y + z – 12 = 0. %3D

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Q: Evaluate the following indefinite integral. Use C for any constant of integration. 9 cos x dx = J si...

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Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact ...

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Q: xarctanx dx

A: Product Rule of integration : ∫u.v dx = u∫vdx - ∫(dudx∫v dx)dx darc tanxdx = 11+x2 ∫ xn dx = xn+1n+1...

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A: slope of the tangent line is m=dydx at (1,7)   By limit definition of derivativedydx=limh→0f(x+h)-f(...

Q: (8) Find all k so that aek= dx converges. In this case, find the value.

A: Given problem:-

Q: You are familiar with the identity S(b) – f(a) = | f' (x) dx. (a) Assume that f has a continuous sec...

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Q: 5. =2 sec(2x Amplitude: f(x) Period: Vertical Shift: Horizontal Shift Start: End: Increments: +++ ++

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Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact ...

A: Given that ∫-3023e1xx3dxSolution :∫-3023e1xx3dxlet ,1x=t-1x2dx=dtat x=-3,t=-13x=0,t=∞substituting th...

Q: (2+7sin 2 dr 3. Co s 2

A: Given: I=∫2+7sin3zcos2zdz We know that the trigonometric identities; 1). sin2θ+cos2θ=12). 1cosθ=secθ...

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Q: Use the graph of the function f shown to the right to estimate the indicated function values and lim...

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Q: 4) Let P be the pyramid with height h and square base of length 6. Use integration to find the volum...

A: Solution: The height of pyramid =h The length of square base =b 

Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact ...

A: The given integral,           ∫015238-38x2dx

Q: Using variable separable technique, find the general solution of dy/dx = (1+y^2)/(1+x^2

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Q: 3(sin y- cos y) chy cos y

A: First we use (siny - cosy) 2 =sin2 y + cos2 y -2sinycosy Then using u substitution let u =sexy + tan...

Q: 32. (a) For a = 1, 2, and 3, draw position vectors for (1) ð = a²7 + 63 (ii) = 57 – a²3 (b) Explain ...

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Q: Compute the Wronskian of a set of functions {vı, y2} = {e* cos(/), e* sin(v¤)} cos (Væ), e* sin(va)}...

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Q: Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the oute...

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Q: about

A: Please refer to the image below 

Q: Given the differential equation 213y" – xy' – 20y = 0 Determine the General Solution for the differe...

A: see below the answer and explanation

Q: 2. An iPhone 13 pro max is dropped from the top of the Balayong Park monument, 225 ft high. (a) How ...

A: This question can be solved by using the equations of motion.

Q: Use the graph of the function f shown to the right to estimate the indicated function values and lim...

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Q: an+1 -to determine if the sequence on+ 2 S n=1 an Use the ratio- is strictly increasing or strictly ...

A: an+1 = (n+1)/(6(n+1) +2)          = (n+1)/(6n+6+2)          = (n+1)/(6n+8)   an = n/(6n+2)  an+1 /an...

Q: 6. f(x) =-cs(x+180°)+2 %3D Amplitude f(x) Period: Vertical Shift: Horizontal Shift Start End Increme...

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Q: 3. Solve each of the following IVP by the Laplace transform method: a. y" - 4 y' = 6 e³- 3 e* y(0) =...

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Q: A r&r.'Find y as a function of t if 9y" – 24y' + 7y = 0, and y(5) = 3, y' (5) = 8.

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Q: 1. Without a table of values and without graphing f(x), give the values of the following limits and ...

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Q: メ

A: Put √x=t then solve it.