Questions from General Calculus

Q: Traditionally, the earth’s surface has been modeled as a sphere,

Traditionally, the earth’s surface has been modeled as a sphere, but the World Geodetic System of 1984 (WGS-84) uses an ellipsoid as a more accurate model. It places the center of the earth at the ori...

Q: Find the local and absolute extreme values of the function on the

Find the local and absolute extreme values of the function on the given interval. f (x) = x + 2 cos x, [-π, π]

Q: Find the local and absolute extreme values of the function on the

Find the local and absolute extreme values of the function on the given interval. f (x) = x2e-x, [-1, 3]

Q: (a) Sodium chlorate crystals are easy to grow in the

(a) Sodium chlorate crystals are easy to grow in the shape of cubes by allowing a solution of water and sodium chlorate to evaporate slowly. If V is the volume of such a cube with side length x, calcu...

Q: Differentiate. y = c cos t + t2 sin t

Differentiate. y = c cos t + t2 sin t

Q: Some of the highest tides in the world occur in the Bay

Some of the highest tides in the world occur in the Bay of Fundy on the Atlantic Coast of Canada. At Hopewell Cape the water depth at low tide is about 2.0 m and at high tide it is about 12.0 m. The n...

Q: A stone is dropped into a lake, creating a circular ripple

A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 60 cm/s. Find the rate at which the area within the circle is increasing after (a) 1 s, (b) 3 s, and (c) 5...

Q: Use the guidelines of Section 4.5 to sketch the curve

Use the guidelines of Section 4.5 to sketch the curve. y = ex sin x, -π ≤ x ≤ π 

Q: Use the guidelines of Section 4.5 to sketch the curve

Use the guidelines of Section 4.5 to sketch the curve. y = 4x - tan x, -π/2 < x

Q: Use the guidelines of Section 4.5 to sketch the curve

Use the guidelines of Section 4.5 to sketch the curve. y = sin-1(1/x)