Amil and Colton had two rockets they planned to launch from different buildings at different times. The height, h, of Amil's rocket launched from the top of a building after t seconds is
modeled by the equation h = -16t2 + 100t + 40 where 100 represents the initial velocity in
feet per second. Colton launched his rocket from a building with a height that was double
the height from where Amil's rocket was launched. The initial velocity of Colton's rocket was
half the initial velocity of Amil's rocket. Which equation could be used to represent the
height of Colton's rocket at any time t.

Sketch the region enclosed by the given curves. decide whether to integrate with respect to x or y. draw a typical approximating rectangle and label its height and width. y= 5x, y=7x^2then find the area s of the region.

Which expressions equal 9 when x=4 and y=1/3 a. x2+6y b. 2x + 3y c. y2-21x d. 5 (x/2) -3y e. 3x-9y

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?