Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the curves about the given axis. y = ex, y = 0, x= -3, x = 0; about x = 1 V = 2πe

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A: Given :- The following fractions To Find :- Arrange The following fractions in ascending order

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A: Ordered pair of the point on the unit circle for the following angle 600° .

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Q: Calculate each derivative using Implicit Differentiation: a) xy + y³ = x²+x+1 b) y³ + x²y + y + 2x =…

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Q: If h(x) = In 2x+8 4 x 3 sin x find h'(x).

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Q: (a) y = (1-2x²)³ (b) h(t) = 2t+3) 3 6-t²

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Q: The per capita consumption of commercially produced fresh vegetables in a certain country from 1980…

A: The per capita consumption of commercially produced fresh vegetables in a certain country from 1980…

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Q: Consider the differential equation x²y" - 7xy' +12y = 0; x², x6, (0, ∞0). Verify that the given…

A: Given differential equation isx2 y" -7xy' +12y= 0 ; x2 , x6 ,(0, inf)

Q: Solve the following system of equations (1) 4x+y-2z= -29 (2) y- 5z = -8 (3) Z = -1

A: Substitute  into the equation:

Q: Find the maximum and the minimum values of f(x,y,z)=2x-5y + 6z on the sphere x2 + y2 + z2 = 65.

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Q: True or False 1. If f(x, y) > g(x, y) for all (x, y), then ff f(x, y)dA> ff g(x, y)d A.... ) R 2.…

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Q: 3. The part of the plane z = 1+ y that lies above the cone z = √2x² + 2y²

A: The part of the Plane z = 1+y that lies above the cone     z= √(2x^2  + 2y^2)

Q: Suppose F(3)= -2, F(5) = 6, and F'(z) = ƒ(2). [ f(2) dz =

A: As we know that Integral (or Antiderivative) is inverse process of Differentiation.

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Q: Fi. Proof ( 1. Show that the local extrema of f(x, y) = x³+y³-6xy is-8.

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Q: 1. If a = 37 – 43 + k 2a - 36 a) 2 and 6 = -27+33 - k 7 b) a +56 express each of the following terms…

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Q: Suppose F(7) = 3, F(10) = -6, and F'(x) = f(x).

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Q: Book Problem 11 Determine whether the following sequences are convergent or divergent. If…

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Q: f(x) = x²e² a) Determine the intervals on which f is concave up and concave down. f is concave up…

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Q: done pumping gasoline that weighs 42 pounds per cubic foot. The top of a cylindrical gasoline…

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