1. Define the following terms. a. derivative

b. secant line c. tangent line

d. tangent point

2. Smoke is being emitted into the atmosphere from a smokestack. At any instant, the smoke -filled regions form as an inverted right circular cone, the height is 2 times the diameter. If the rate of smoke emission is 200 m3/min, how fast is the height increasing when the height is 75 m?

3. A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 15 cm/s. Find the rate at which the area within the circle is increasing after 5 s.