Q4: A conical tank with Diameter of (2 m) from the top and (5 m) height. At the bottom of the tank there is hole of radius (2 cin) as shown in Figure 1. The tank initially filled with water in which the water drains under the influence of gravity. Find the depth of water at any time, and determine how long it takes to drain off completely? 5m Figure 1

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Q: (5) Suppose that fis continuous on [a,b], f(x) ≥ 0 Vx = [a, b] and [ f(x)dx = 0. Prove that f(x) = 0…

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Q: 6. Find the volume of the torus generated by revolving the circle x² + y² = 4 about the line .x = 3.

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Q: Solve using: a) Newton's method of approximation b) Secant Method Es = .00005 e cosx=1

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Q: (a)

A: We use standard form of rotation operator to find standard matrix T1.

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