The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the y-axis is revolved about y+1=0. What is the appropriate integral to be used to find the volume of the solid generated?

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Q: 7. Suppose that {an) is defined recursively by an = a-1-1 and that ao = 2. Find a3 and 44.

A: Solution :-

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Q: e 60x1 + 70x2 Subject to: 2x1 + x2

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Q: 10) If (1+x) is an idempotent in Zn; then (n-x) is an idempotent

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Q: Find the area of the region bounded by y²-x=0 and y²+x=2₁ (A) u² 3 В) (√2-1) u² 3 C 8u² D s-u² B

A: Area bounded by two curves: y2-x=0 and y2+x=2

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A: This is a problem of the application of calculus.

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Q: write down detailed e− N-proofs  i) (√n+7)/(n+5) converges.  ii) (n2−3i)/(2n3+2i) converges

A: Follow the steps.

Q: ди ди following partial differential equation = дх at

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Q: A....= £. f. f(t). dt. L an = tf .f.. (t.). cars n t .d.t.. -L L bn = + f filt). sin. It dt. -L 1.…

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Q: Solve each nonhomogeneou 1. [32]

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Q: 1) Find the parametric and cartesian form of the singular solution of the DE yy'=xy¹2+2.

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Q: Find the Laplace transform to the following function f(t)= u(t-2)te4t

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Q: = 7. Let T R2 R³ be a linear transformation with T(x1, x2) x2, 2x1 - 3x2). Can you find X = (x₁, x2)…

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Q: 6. Which digit would occupy the units place of 6

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Q: z x ² dy 2X ax x² + y² X

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Q: need

A: We find required Fourier Series.

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Q: HOMEWORK 16: Graph the following equations. 1. y = (x2 + 2x +1)(x – 4) y² = x² + 5x + 7 2.

A: Given 1 y=x2+2x+1x-42 y2=x2+5x+7