<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>