Find the volume of the solid generated when the region enclosed by the given curves is revolved about the x-axis y=x2, x=2, y=0

Q: cosh? Vx 4-S- dx Vx csch vx

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Q: b. = log(a + b) a If log + log- %3D a then we can conclude that O a. a-b-1 O b. a?-b2 =1 O C. a+b=1…

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A: To evalaute: I=∫x3-4x3+2x2+2xdx=∫1-2x2+2x+4x3+2x2+2xdx=∫dx-∫2x2+2x+4x3+2x2+2xdx

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A: Let's find.

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A: in polar coordinate x=r cosθy=r sinθ

Q: V

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Q: d.) lim f(x) = e.) lim f(x)= -3 -2 f.) lim f(x) = X-I*

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Q: The substance's amount at time t may be modeled by an exponential function. Substance X has an…

A: Here, the exponential model is: A=A0e-kt...(1) Now, given that A0=300 mg. So,  A=300e-kt...(2)

Q: ||r'(t) × r"(t)|| ||r(t)||* Use the formula k(t) : to find «(t). %3D r(t) = t’i + t®j %3D 390 t14…

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Q: Q3/ Find the area of zone bounded by curves: y= x , y= 3x+8

A: To find the area of the region bounded by the given curve

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A: y=3x3/2 -4  arc length=∫ab(1+(dy/dx)2) dx a=0 and b=1 given dy/dx=d(3x^(3/2) -4)/dx…

Q: Solve the boundary value problem y" – 10y + 25y = 0, y(0) = 3, y(2) = -2. %3D %3D |

A: To solve the given boundary value problem.

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Q: Find the gradient of the function at the given point. g(x, y) = 5xev/x, (8, 0)

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Q: 4-S cosh? Vx dx x csch vx

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