Q: A steady wind blows a kite due west. The kite’s height
A steady wind blows a kite due west. The kite’s height above ground from horizontal position x = 0 to x = 80 ft is given by y = 150 – 1/40 (x – 50)2. Find the distance traveled by the kite.
See AnswerQ: An aquarium 5 ft long, 2 ft wide, and 3
An aquarium 5 ft long, 2 ft wide, and 3 ft deep is full of water. Find (a) the hydrostatic pressure on the bottom of the aquarium, (b) the hydrostatic force on the bottom, and (c) the hydrostatic forc...
See AnswerQ: A tank is 8 m long, 4 m wide, 2
A tank is 8 m long, 4 m wide, 2 m high, and contains kerosene with density 820 kg/m3 to a depth of 1.5 m. Find (a) the hydrostatic pressure on the bottom of the tank, (b) the hydrostatic force on the...
See AnswerQ: Show that the total length of the ellipse x = a sin
Show that the total length of the ellipse x = a sin θ, y = b cos θ, a > b > 0, is Where e is the eccentricity of the ellipse (e = c/a, where c = √a...
See AnswerQ: A vertical plate is submerged (or partially submerged) in water
A vertical plate is submerged (or partially submerged) in water and has the indicated shape. Explain how to approximate the hydrostatic force against one side of the plate by a Riemann sum. Then expre...
See AnswerQ: A vertical plate is submerged (or partially submerged) in water
A vertical plate is submerged (or partially submerged) in water and has the indicated shape. Explain how to approximate the hydrostatic force against one side of the plate by a Riemann sum. Then expre...
See AnswerQ: Let T be the triangular region with vertices (0, 0
Let T be the triangular region with vertices (0, 0), (1, 0), (1, 2), and let V be the volume of the solid generated when T is rotated about the line x = a, where a > 1. Express a in terms of V.
See AnswerQ: Find the volume of the described solid S. A pyramid
Find the volume of the described solid S. A pyramid with height and rectangular base with dimensions a and 2b.
See AnswerQ: Use cylindrical shells to find the volume of the solid.
Use cylindrical shells to find the volume of the solid. The solid torus of Exercise 45 in Section 6.2. Exercise 45 in Section 6.2: (a). Set up an integral for the volume of a solid torus (the donut-...
See AnswerQ: Use Part 1 of the Fundamental Theorem of Calculus to find the
Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.
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