Questions from General Calculus

Q: Find the average of the function f (t) over the

Find the average of the function f (t) over the given interval. f (t) = 1000 + 200 sin 2 (t - π /4), 0 ≤ t ≤ 3 π /4

Q: Find the average of the function f (t) over the

Find the average of the function f (t) over the given interval. f (t) = cos t + sin t, - π ≤ t ≤ 0

Q: Evaluate the given integral. ∫ tan2 x dx

Evaluate the given integral. ∫ tan2 x dx

Q: Evaluate the given integral. ∫ tan2 3x dx

Evaluate the given integral. ∫ tan2 3x dx

Q: Evaluate the given integral. ∫ (1 + tan2 x

Evaluate the given integral. ∫ (1 + tan2 x) dx

Q: Evaluate the given integral. ∫ (2 + tan2 x

Evaluate the given integral. ∫ (2 + tan2 x) dx

Q: Evaluate the given integral. ∫0 π/4 tan2

Evaluate the given integral. ∫0 π/4 tan2 x dx

Q: Let f (x, y, z) = xz eyz

Let f (x, y, z) = xz eyz. Find ∂f/∂x, ∂f/∂y, and ∂f/∂z.

Q: Evaluate the given integral. ∫0 π/4 (

Evaluate the given integral. ∫0 π/4 (2 + 2 tan2 x) dx

Q: Determine the radian measure of the angle shown. /

Determine the radian measure of the angle shown.