# Questions in Section Calculus I: page 2

A plane flying horizontally at an altitude of 1 mi and a speed of 570 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 3 mi away from the station. (Round your answer to the nearest whole number.)

The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing when the diameter is 60 mm?

Find the critical points of the function g(x)=sqrt(4-x^2).

Find cos(arcsin(x)).

How do we calculate the second derivative of the following implicitly define equation: x^2+y^2=90^2?

Find the derivative of the function using the definition of derivative: f(t)=5t-2t^2.

What is range of csc(x)?

A particle moves along the circle x^2+y^2=25. If x increases at a rate of 2 units per minute, at what rate is y changing when x=3.

How the continuity and one-sided continuity related?

Is it true or false?

A curve in polar coordinates is symmetric about the origin if replacing theta by pi+theta, or replacing r by -r in its equation produces an equivalent equation.