Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis. y = x² + y = -x² + 2x + 6 x = 0 x = 3 + 2

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A: given  f(x)=2-xx2+18x-40

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A: let  K=∫sec2(x14)tan(x14)dxformula of terivative use→(i) d dx(xn)=nxn-1(ii)  d dx(tanx)=sec2x

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A: ⇒ given  uv=wformula of log function used→(i)  logxn=nlogx(ii)  logaa=1

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Q: e) 2+4 dt

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Q: Using the parametric differentiation find dy, if x = 9t², y = 5t³ O 0.83t O 1.11t O 2.70t O 1.39t…

A: x=9t2 ,y=5t3

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Q: Find the area enclosed. R=3+2costheta

A: The curve equation R=3+2cosθ

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Q: Select Answer Select Answer Select Answer 4. (+∞0) - (+∞0) 5.1 6.1⁰

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Q: Evaluate the integral. [²√³² (x² (x² + y) dx dy

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Q: If £{√t³} = 35. 3 √π (A) ² (s+1)ž 27, then £{e²√t³} = S2 3 √π (S-1)2 (B) - 3 √π (C)²4 (5-1)s2 (D) 3…

A: ℒt3=3π4s52

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Q: Evaluate the integral. -π/2 (cos(x) Jo Jo y sin(x) dy dx

A: let  D=∫0π2∫0cosxysin(x)dydy

Q: 2. a. S_14x² + 2x + 1 3 X Evaluate the indefinite integrals. dx b. f(2 sec¹x + sin(2x)) dx

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Q: Consider the vector field F= (12zy+2y-3, 6x²+2x).

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Q: 3) Consider the function g(x) = cos(3x). a. Write the first three non-zero terms of the Maclaurin…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) [(9-2x1¹2 dx

A: Need to perform indicated integral. We will substitution to find the integral.

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A: Given: "All real numbers x more than 4 units from 0". We are required to: Express the above phrase…

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