Questions from General Calculus


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

Use the guidelines in Section 4.5 to sketch the curve y = x sin x, 0 ≤ x ≤ 2π. Use Newton’s method when necessary.

See Answer

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

Use the guidelines of Section 4.5 to sketch the curve. y = 2 - 2x - x3

See Answer

Q: Find f. f ‘(t) = 2t - 3

Find f. f ‘(t) = 2t - 3 sin t, f (0) = 5

See Answer

Q: A particle is moving with the given data. Find the position

A particle is moving with the given data. Find the position of the particle. v(t) = 2t – 1/(1 + t2), s(0) = 1

See Answer

Q: A particle is moving with the given data. Find the position

A particle is moving with the given data. Find the position of the particle. a(t) = sin t + 3 cos t, s(0) = 0, v(0) = 2

See Answer

Q: (a) If f (x) = 0.1ex

(a) If f (x) = 0.1ex + sin x, -4 ≤ x ≤ 4, use a graph of f to sketch a rough graph of the antiderivative F of f that satisfies F(0) = 0. (b) Find an expression for F(x). (c) Graph F using the expressi...

See Answer

Q: Investigate the family of curves given by f (x)

Investigate the family of curves given by f (x) = x4 + x3 + cx2 In particular you should determine the transitional value of c at which the number of critical numbers changes and the transitional valu...

See Answer

Q: The quantity of charge Q in coulombs (C) that has

The quantity of charge Q in coulombs (C) that has passed through a point in a wire up to time t (measured in seconds) is given by Q(t) = t3 - 2t2 + 6t + 2. Find the current when (a) t = 0.5 s and (b)...

See Answer

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

Use the guidelines of Section 4.5 to sketch the curve. y = -2x3 - 3x2 + 12x + 5

See Answer

Q: A canister is dropped from a helicopter 500 m above the ground

A canister is dropped from a helicopter 500 m above the ground. Its parachute does not open, but the canister has been designed to withstand an impact velocity of 100 m/s. Will it burst?

See Answer