Find the dimensions of the rectangle with maximum area that can be in- scribed in the ellipse x2/a² + y²/6² = 1.

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A: See the answer below

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A: Note :-  Since you have asked multiple question As per our policy, we will solve the first question…

Q: 3. y = x2 + 5x and y = 3 – x -

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Q: Find the volume generated by revolving the region bounded by the given curves about the y-axis. Use…

A: To find the volume of solid generated by revolving the gives curve about y axis using disc method.

Q: 30 25 20 15 10 -6 -5 -3 -2 1 0 -5 1. 3 4. -10 -15 -20 Find x when f' (a) g' (x) (Note: there is only…

A: Function

Q: . Determine the exact distance between the planes 4 x + y – 2 z + 10 = 0 and 8 x + 2 y – 4 z – 12 =…

A: Answer and explanation is given below..

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Q: 253 4x

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

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Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = e2x + e-x (a) Find the…

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Q: Find the coordinates of a point P on the line and a vector v parallel to the line. x - 2 y + 5 = z +…

A: Given that equation of line x-28=y+57=z+71Solution :x-28=y+57=z+71=tx=8t+2y=7t-5z=t-7point…

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A: The graph is drawn by free hand.

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Q: y(x) = tan(v/3x² + In(5x*) %3D

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Q: a b b -b ) Give the determinant of the matrix A = d e -e Lg h -h]

A: Given query is to find the determinant of the matrix.

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Q: Answer is incorrect

A: Apologies for the inconvenience. Correct solution is given below:   Given: vt=-4t2-2t-8, 1≤t≤6…

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Q: Which one of the following equations is in the slope- intercept form? O a. 2x+3y-6+0 O b. 2x+3y= 3

A: The equation in slope intercept form is given by:y=mx+cwhere m=slope, c=y-intercept

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Q: Determine the Average value of g(x)=-4x-3 over the interval (0,7)

A: See the details solution in below

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Q: find the derivative of f(x)=x/(x+2) using the limit definition of a derivative

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Q: 10 The masses m; are located at the points Pj. Find the moments Mx and My and the center of mass of…

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Q: 10

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Q: Consider the Taylor polynomial T(x) centered at x = 17 for all n for the function f(x) = , where i…

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Q: The integral expression J xsin-(2x)dx can be evaluated using integration by parts of the form…

A: ∫ xsin22xdx=∫12x1-cos4xdx=12·∫ x1-cos4xdxUsing by parts,=12xx-14sin4x-∫…

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Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at x = 0 for f(x) = sin(x). (Use symbolic…

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Q: ) Given f'(x)=12.r -4r+8, and f (3) = 1000 find f.

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Q: Consider the following. 7X - 6* lim x-0 4X - 3* Use l'Hospital's Rule to find the exact value of the…

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Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

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