Please show work

3. % Calculate 3? if 3: and y are related by the following equations given below. Here, both variables a: and y will likely appear in your answer. (a) (%)E|sin(r + y) : x + cos(y) (b) (%) 111(93) +111(y) : I + y (c) (3%) .r (3/5 + y) arcsin(y + .13) = 33100. (On this problem, you may need to look up the derivative of arcsin(.r). I am explicitly not telling you because it is a genuinely useful skill to be able to learn to nd mathematical information on the internet yourseleb 1The domain of these functions is 'all real numbers where this function makes sense.5 2This problem will be graded as follows. One of the four problems will be chosen at random and completely graded for 25 total points. The other three will be graded on a correct/incorrect only basis. I encourage you to learn to use software such as WolframAlpha to check your answers! 3This problem will be graded as follows. One of the three problems will be chosen at random and completely graded for 20 total points. The other two will be graded on a correct/incorrect only basis. You are welcome to check answers with peers, but remember: you won't learn anything from copying, and the homework doesn't count very much for your nal grade! 4Some people write sin'1 (12) instead of arcsin(cc). This is ne if you do this as long as you understand sin'1 (13) is not the same thing as . 1 , 5111(1) For more practice on implicit differentiation, click here!' 4. 210 Water pours into a conical tank (with tip touching the ground) which has total height 6 meters and radius 4 meters at a rate of 8%. At what rate is the water rising when the height is 5 meters high? (Hint: Use the fact that any cone of height h and radius 7" has volume 7rr2h.) Feel free to not do arithmetic