Calculus Answers

  fraction numerator x squared plus x plus 1 over denominator x minus 1 end fraction

TOPIC 9: Domain Range of a Rational functions Find the domain and range of the following rational function

1.f(x)=2 x+1

2.f(x)=3x x+3

3.f(x)=3-x x-7

4.f(x)=2+x x

5.f(x)=(x+1) x^2-1

If a ball is thrown into the air with a velocity of 40 ft/s, its height (in feet) after t seconds is given by y = 40t − 16t2. Find the velocity when t = 2 seconds.

A ball tossed in the air vertically from ground level returns to earth 4 seconds later. Find the inital velocity and maximum height of the ball.

A bullet is fired in the air vertically from ground level with an initial velocity of 200 m/s. Find the bullet’s maximum velocity and maximum height.

The position of a particle moving in a straight line during a 5-second trip is

s(t) = t2 − t + 10 cm. Find a time t at which the instantaneous velocity is

equal to the average velocity for the entire trip.

Find the rate of change of the volume of a cube with respect to its side s when s=10

The radius of a circular oil slick on the surface of a pond is increasing at the rate of 10 meters/min. At what rate is the circle's area changing when the radius of the oil slick is 20 m. ?