Questions from General Calculus

Q: Determining the height of a Tree A tree casts a 60-

Determining the height of a Tree A tree casts a 60-foot shadow when the angle of elevation of the sun (measured from the horizontal) is 53˚. How tall is the tree?

Q: Find ∂f/∂x and ∂f/∂y for each

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

Q: Differentiate (with respect to t or x): f (

Differentiate (with respect to t or x): f (t) = 3 sin t

Q: Differentiate (with respect to t or x): f (

Differentiate (with respect to t or x): f (t) = sin 3t

Q: Differentiate (with respect to t or x): f (

Differentiate (with respect to t or x): f (t) = sin√t

Q: Differentiate (with respect to t or x): f (

Differentiate (with respect to t or x): f (t) = cos t3

Q: Differentiate (with respect to t or x): g(

Differentiate (with respect to t or x): g(x) = x3 sin x

Q: Differentiate (with respect to t or x): g(

Differentiate (with respect to t or x): g(x) = sin(-2x) cos 5x

Q: Differentiate (with respect to t or x): f (

Differentiate (with respect to t or x): f (x) = cos 2x / sin 3x

Q: Differentiate (with respect to t or x): f (

Differentiate (with respect to t or x): f (x) = (cos x – 1) / x3