Questions from General Calculus

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

Determine the radian measure of the angle shown.

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

Determine the radian measure of the angle shown.

Q: Construct angles with the following radian measure. -π

Construct angles with the following radian measure. -π

Q: Let f (x, y, z) = xy/

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

Q: Let f (x, y) = x2 + 2xy +

Let f (x, y) = x2 + 2xy + y2 + 3x + 5y. Find ∂f/∂x (2, -3) and ∂f/∂x (2, -3).

Q: Let f (x, y) = xy. Show that

Let f (x, y) = xy. Show that f (2 + h, 3) - f (2, 3) = 3h.

Q: Let f (x, y) = (x + y2

Let f (x, y) = (x + y2)3. Evaluate ∂f/∂x and ∂f/∂y at (x, y) = (1, 2).

Q: Let f (x, y) = xy2 + 5.

Let f (x, y) = xy2 + 5. Evaluate ∂f/∂y at (x, y) = (2, -1) and interpret your result.

Q: Let f (x, y) = x/(y –

Let f (x, y) = x/(y – 6). Compute ∂f/∂y (2, 1) and interpret your result.

Q: Let f (x, y) = x3y + 2xy2.

Let f (x, y) = x3y + 2xy2. Find ∂2f/∂x2, ∂2f/∂y2, ∂2f/∂x∂y, and ∂2f/∂y∂x.