Can you please help me with my calculus test corrections? Please ignore my work and provide a clear solution to each of the questions. Thank you so much!

chapter 3 TestA CALCUL ea 8.) A balloon rises at a rate of 8 feet per second. 60 feet away from directly underneath the 5 balloon stands an observer. Find the rate of change of the angle of elevation from the observer to the balloon when the balloon is 25 feet above the ground. Tang - CCC I sin 22. 619 7 - coto= y' cot Q . G 60 -10- 133 = cat 22 , 6. 9.) Find dy dx 2 of 5 x = 1 6 ( 2 ) - zx (84 0 = sin 2 2 toin ) 2C4 4 - 5 = 4x - zy = 5x + 24 - 15 x+24x 722 2 2 2 72 X 3 29 5 7 2 + 24 = - 5x+24-15x+24 DC 2 1(52 + 24 ) - 15x + 24(2 ) 4+ 24 - 15+ 2(5 x +24 g+zy - 15+2 5x7 +24 ax z 10.) True or False: If f"(x) = f"(x) for all x then f"(x) = f(x) for all x. Explain why. 6 (- 6 ( x ) sof ( x() cannot equst True 2 BOC 1 1.) If A is a variable and B is a constant, which expression equals AB 1(AB ) . B ) (. 5 ( AB ) ? ) b. ) AB 2 ( A ' B ' ) d -(2AB) d.) dA -(.5 X ? B) e.) ( A - B2 ) C.)