use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the specific axis y=6x-x2 , y=8, about x=2

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Q: 9. Which derivative does the limit lim h→0 (2+h)²2-4 Ih (A) f'(2) where f(x) = x² (B) f'(2) where…

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Q: Z 0.68 (0). -0.68 -19.00.00 Drag the surface to rotate 0.68 Drag the surface to rotate t 0.00 .68…

A: From this picture, we can easily get the required traces

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A: Given: To  Find: To determine the area represented by the above integral.

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A: The graph is given as,

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Q: (16)(20)+(8) (32)=

A: The given expression is

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Q: 3. Use the given number of partitions to calculate the Right Endpoint Riemann Sum, and sketch the…

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A: The given figure

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A: Consider the matrix

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A: we need to find equilibrium quantity between the two given equations

Q: Question 3.72) Consider the rotated ellipse x² - xy + y² = 108 shown beside. dy A) Use implicit…

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Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS. EXPLAIN YOUR WORK FOR BETTER…

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Q: Sketch the graph of the quadratic function. f(x) = x² + 4x + 4 O S No Solution Help -10 9 8 7 6 5 4…

A: To sketch the graph of the following quadratic function.To indicate the coordinates of the vertex,…

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A: We need to solve function and draw graph.

Q: Find the area A of the sector of a circle of radius 20 centimeters formed by the central angle 1/9…

A: Radius of circle=20 cmCentral angle=19 radian

Q: Use sigma notation to write the sum. X Σ* [[ IM [²(²¹) + ¹] + [²( ² ) + ³] + - + [² (¹) + ¹] [2 [2…

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Q: Eliminate the parameter t to find a Cartesian equation in the form x = f(y) for: 4t² = [x(t) = ly(t)…

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Q: Evaluate the integuel 99.9 x dv the octant z ≤ 2-y iii) //2₂ i) 0 ii.) - 2 st 1 ivə 1 where OC VJ 4…

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Q: c) y" +10y' + 25y = 0

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Use Green's Theorem to evaluate the following integral et² dx + (4x + 6) dy Le Where C is the…

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Q: Graph this system of equations to find the area between the curve: 2y=4sqrtx y=3 2y+4x=8

A: To draw the graph of the following system of equations to find thearea between the curve.

Q: Find the absolute maximum and absolute minimum of f(x) = 2x³6x² - 48x + 95 on the interval [1,6].

A: f(x)=2x3−6x2−48x+95 on the interval [1,6]Using the power Ruleddxxn=nxn−1

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A: The given function is .The aim is to find the left Riemann sum and the Midpoint Riemann sum for the…

Q: 1 Consider the functions f(x) = 7x + 1 and g(x)= 7(x-1). (a) Find f(g(x)). (b) Find g(f(x)). (c)…

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Q: The following table shows the total sales, in thousands, since a new game was brought to market.…

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Q: Area = 7 (a) What is [*5(x) 5 f²50 f(x) dx = (b) What is f(x) [ f(x)² is fºfo f (x) dx = [s (c) What…

A: Definite integral :- A deefinite integral has been evaluated between specific limits. This can be…

Q: Find the general anti derivative of the function f(x)=8x^9-3x^6+12x^3

A: Given,.

Q: Ans. y=10 cost + 2 sint-√√2 sin√√2t 5. 2y+3y"-3y'-2y=e', y(0)=y'(0) = 0, y"(0) = 1 8 1 Ans. y 9 -1/2…

A: 2y'''+3y''-3y'-2y=e-t, y(0)=y'(0)=0, y''(0)=1

Q: Which represents the correct difference quotient for the function f(x)=4x²-3x+2? A B C D f(x+h)-f(x)…

A: Here we have given a function :

Q: Use an integral to find the area of the region under y = 71n(4x) and above y = 3 for 4 ≤ x ≤ 8.…

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Q: x^1/3(x+3)^2/3 find critical points, increasing and decreasing, inflection points, local minimum and…

A: f(x)=