Quiz 1 Math 152 Print Name: Time

1. Find the largest area of a rectangle in the first quadrant under the curve

The thin is original, and the thick is derivative.

2. At am, the ship is miles north of the ship We know that the ship is going eastward at miles per hour and the ship is going north at miles per hour.

1. Set up the distance function between the ship and the ship .

2. Set up the rate of change of the distance (between and with respect to time.

3. When is the distance between the ship and the ship closest?

** See the screen above for setting up the distance function.

3. If then

1. find the critical numbers of

2. find the interval(s) where is increasing or decreasing,

3. find the relative maximum or relative minimum of

4. If

1. find the critical numbers of

2. find the interval(s) where is increasing or decreasing,

3. find the relative maximum or relative minimum of

4. find the interval(s) where is concave upward or concave downward,

5. find the inflection point(s) of