Designing Solar Panels – The space available for the installation of three (3) solar collecting panels requires that their lengths differ by the amounts shown in the illustration below, and that the total of their width be meters. To be equally effective, the area of each panel must measure exactly square meters. (a) For variables , , and , express each variable as a function of . (Hint: Consider the area of each panel separately). [6 mks] (b) Based on part (a) above, write an appropriate equation (in terms of variable ) to represent the sum of variables , , and . [4 mks] (c) Hence, find the dimensions of each panel.

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?