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Chapter 6: Problem 113
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Graph the path of the projectile that is launched at an angle of \(\theta\) with the horizon with an initial velocity of \(v_{0} .\) In each exercise, use the graph to determine the maximum height and the range of the projectile (to the nearest foot). Also state the time \(t\) at which the projectile reaches its maximum height and the time it hits the ground. Assume the ground is level and the only force acting on the projectile is gravity. \(\theta=42^{\circ}, v_{0}=315\) feet per second
Use the Binomial Theorem to simplify the powers of the complex numbers. $$(1+2 i)^{5}$$
Find the \(n\)th partial sum of the arithmetic sequence. $$a_{n}=n+8 ; n=25$$
Find the first three terms of each recursively defined sequence. $$a_{1}=5, a_{n}=2 a_{n-1}$$
Find the equation of the ellipse traced by a point \(P(x, y)\) that moves in such a way that the sum of its distances to (-3,1) and (5,1) is 10.
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