2 Hard AP Calc Problem Worth A lot of points due tomorrow. Help Needed/Appreciated

Test Preparation AP Test Preparation
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<p>These two problems together would get me nearly 5 extra points on my marking period grade. Anyone know how to go about solving them?</p>

<h1>1.) Two circles of radius 4 are tangent to the graph y^2 = 4x at point (1,2).</h1>

<p>a. Find the equations of these two circles.
b. Graph the entire situation on a pair of coordinate axes.</p>

<h1>2.) The path of a javelin thrown at an angle of 45 degrees with the ground is given by function y = x - (32x^2 / v^2) where initial velocity is v feet/second.</h1>

<p>a. Prove (in general terms???) that doubling the initial velocity quadruples the maximum height.
b. Prove (in general terms) that doubling the initial velocity quadruples the distance traveled by the javelin.
c. Choose an initial velocity and accurately graph the path of a javelin.
d. Double initial velocity you chose in part c. and graph the new path of the javelin on the same axes.</p>

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<p>i don't feel like doing it...but i'll tell you how to do it</p>

<p>2) find dy/dx of the orig equation and set it =0 solve for x - substitute that x value into the orig equation, substitute 2v for v, find dy/dx of the new equation and set it =0...so on and so forth</p>

<p>This is basic differentiation. You should get a textbook and review the material. It's rather easy.</p>

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<p>And I thought that our president couldn't even add much less do calculus. :)</p>

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<p>appreciate it Mr. Pres. BTW i enjoyed that interview on 60 minutes.</p>