Questions from General Calculus

Q: A Ferris wheel with a radius of 10 m is rotating at

A Ferris wheel with a radius of 10 m is rotating at a rate of one revolution every 2 minutes. How fast is a rider rising when his seat is 16 m above ground level?

Q: Find the linearization L(x) of the function at a

Find the linearization L(x) of the function at a. f (x) = x3 - x2 + 3, a = -2

Q: Find the linearization L(x) of the function at a

Find the linearization L(x) of the function at a. f (x) = sin x, a = π/6

Q: Find the linearization L(x) of the function at a

Find the linearization L(x) of the function at a. f (x) = x , a = 4

Q: Find the linearization L(x) of the function at a

Find the linearization L(x) of the function at a. f (x) = 2x, a = 0

Q: Use implicit differentiation to find an equation of the tangent line to

Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x2 - xy - y2 = 1, (2, 1) (hyperbola)

Q: Find the numerical value of each expression. (a)

Find the numerical value of each expression. (a) sinh 1 (b) sinh-1 1

Q: Prove the identity. sinh(-x) = -sinh

Prove the identity. sinh(-x) = -sinh x (This shows that sinh is an odd function.)

Q: Prove the identity. cosh(-x) = cosh x

Prove the identity. cosh(-x) = cosh x (This shows that cosh is an even function.)

Q: Prove the identity. cosh x + sinh x = ex

Prove the identity. cosh x + sinh x = ex