1. Consider the function R(x) where R is a function whose domain is all x, such that x > 0. R(x) rounds x up to the nearest integer. [4 points]

(a) Evaluate each of the following:
6
R(3.15) = 3
5
R(1.01) = 1
4
R(5) = 5
3
2
(b) Graph R(x) on the grid to the right
1
1 2 3 4 5
6

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?