Sketch the region bounded by the given curves, then find the centroid of its area. y = 2x - x², y = 2x² - 4x

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A: topic - application of derivatives

Q: 6. DETAILS BERRAPCALC7 3.6.025. 0/2 Submissions Used For the equation, find dy/dx evaluated at the g...

A: We will find the implicit differentiation at a point. 

Q: HOMEWORK LG Solve the given initial-value problems. 4.43. xe* dx + (y - 1)dy 0; y(0) =0 4.44. y(3) =...

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Q: Plot the vector field F = (y,sinx) using the viewing window (-2pi,2pi)x(-2pi,2pi

A: Given:       F = ( y , sin(x) )      viewing window :  (-2pi  ,  2pi)

Q: 2x (1 – x²)² Let the function be 1) Convert the provided function into a POWER SERIES +oo Σ 4n-1 n=1...

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

Q: Find 2 dx *- dx x+1 4. dx 3.

A: y =(x+1/(x+1))2 y = (1/x+1)2 y = 1/(x+1) dy/dx = -1/(x+1)2   4 y = x2/(3x2 - x3) y = 1/(3 - x) dy/dx...

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A: Given query is to find the derivative of the expression.

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A: In order to solve the problems of this kind we need to use linear approximation formula and then aft...

Q: 2 = In (e*x³) 12.

A: As per our guideline we can answer only 1 question so kindly repost the remaining questions specifyi...

Q: dx cot 3x sin 3x -1/3 sec 3x + C

A: ∫dxcot(3x).sin(3x)=∫dxcos(3x)sin(3x).sin(3x)

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A: Use simple integration formula for lateral surface area.

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A: Dear student in place of x assume phi(ϕ )

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Q: For the curve x (t) = t², y (t) =t³ – 3t Given the curve crosses itself at (3, 0), a) Find the point...

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Q: g(b). Use the Substitution Formula, -g'(x) dx = f(u) du where g(x) = u, to evaluate the following in...

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Q: Find the exact area of the surface obtained by rotating the curve x = 2t +÷,y about the x-axis. Show...

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Q: dy 3) (x+ 1)(y- 1) dx

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the remain...

Q: x = r° +1, y=r -t a) Find dy/dx

A: To find the derivative of given parametric function.

Q: Use the Integral Test to determine the convergence or divergence of the p-series. 1 n8 n = 1 Σ 1 dx ...

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Find by implicit differentiation. dx sin(x? + y?) = xe" – 2r cos(x² + y²) 2y cos(x² + y²) – e'x xp N...

A: Given query is to find the derivative of the expression.

Q: (B)(10M) Evaluate (y(x)) dx y(x) = cot (csc(sec(In x))) %3D

A: derivative

Q: x=t +1, y=r -t c) Find an equation of the tangent to the curve at the point corresponding to t = 1. ...

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Q: 2 Given a circle with radius, r, and a sector with area, A, formed by angle of 0 radians. Find a for...

A: Here we have to find the area of the sector.

Q: lim,y→0 sin x

A: I am attaching image so that you understand each and every step.

Q: Find the linear approximation of f(x)=sin(x) at x=2π3 and use it to approximate sin(121∘). Give you...

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Q: The height (feet) of an object moving vertically is given by s = - 16t + 272t + 204, where t is in s...

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you ...

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A: Given problem:- The height (in meters) of a projectile shot vertically upward from a point 4 m above...

Q: Let a. b, and c be three-dimensional vectors. Identify whether the expression a- (b x c) will result...

A: We can solve this as follows:

Q: Convert the equation to polar form. 3x = 3y Зу 3r(cos 0 – sin 0)

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Q: Directions: Evaluate the following limits. 3. lim ) 4. lim ) x-1 x2 X+4

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: X-9 At what x- values is f(x) not differentiable?

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Q: 4. Solve the linear system below w + x - 4z = -2 0.5w – 0.5x + 2y + 0.5z = –2 -3x + 0.5y + z = -5 4w...

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Q: Explain why the function is differentiable at the given point. f(x, y) = x³y?, (-2, 2) The partial d...

A: L(x,y) = fxx0,y0x-x0+fyx0,y0y-y0+f(x0,y0)

Q: For F = (3xyz^2,y^2sinz,xe^(2z)). Find ▽⋅F and ▽xF.

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Q: -1 (11) Find fo g* (2) =? (A) f•g* (2) = f( 2) = undefined; g(2) = 0 (B) f•g° (2) = f('lg2)= undefin...

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Q: dy Find dx S cos (P) at y = COS dy dx II

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Q: Directions: Evaluate the following limits. +8 5. lim X-2

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Q: 1. The number of accidents (y) in millions for drivers of age (x) was predicted by an insurance comp...

A: Solution of question is written in below steps.

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman win...

A: Here we have to maximize the area.

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