Questions from General Calculus

Q: Find ∂f/∂x and ∂f/∂y for each

Find ∂f/∂x and ∂f/∂y for each of the following functions. f (x, y) = ln(xy)

Q: The point with the given coordinates determines an angle of t radians

The point with the given coordinates determines an angle of t radians, where 0 ≤ t ≤ 2π. Find sin t, cos t, and tan t. (-.6, -.8)

Q: The point with the given coordinates determines an angle of t radians

The point with the given coordinates determines an angle of t radians, where 0 ≤ t ≤ 2π. Find sin t, cos t, and tan t. (3, -4)

Q: If sin t = 1/5, what are the possible

If sin t = 1/5, what are the possible values for cos t?

Q: If cos t = - 2/3, what are the

If cos t = - 2/3, what are the possible values for sin t?

Q: Find the four values of t between -2π and 2π at

Find the four values of t between -2π and 2π at which sin t = cos t.

Q: Find the four values of t between -2π and 2π at

Find the four values of t between -2π and 2π at which sin t = -cos t.

Q: When – π/2 < t < 0, is tan

When – π/2 < t < 0, is tan t positive or negative?

Q: When π /2 < t < π, is sin t

When π /2 < t < π, is sin t positive or negative?

Q: Geometry of a roof A gabled roof is to be built on

Geometry of a roof A gabled roof is to be built on a house that is 30 feet wide so that the roof rises at a pitch of 23˚. Determine the length of the rafters needed to support the roof.