
Concept explainers
Projectile Motion In Exercises 81 and 82, consider a projectile launched at a height h feet above the ground and at an angle _ with the horizontal. When the initial velocity is v0 feet per second, the path of the projectile is modeled by the parametric equations
Baseball
The center field fence in a ballpark is 10 feet high and 400 feet from home plate.
The ball is hit 3 feet above the ground. It leaves the bat at an angle of
(a) Write a set of parametric equations for the path of the ball
(b) Use a graphing utility to graph the path of the ball when
(c) Use a graphing utility to graph the path of the ball when
(d) Find the minimum angle at which the ball must leave the bat in order for the hit to be a home run.

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Chapter 10 Solutions
Calculus
- Explain the relationship between 12.3.6, (case A of 12.3.6) and 12.3.7arrow_forwardExplain the key points and reasons for the establishment of 12.3.2(integral Test)arrow_forwardUse 12.4.2 to determine whether the infinite series on the right side of equation 12.6.5, 12.6.6 and 12.6.7 converges for every real number x.arrow_forward
- use Corollary 12.6.2 and 12.6.3 to derive 12.6.4,12.6.5, 12.6.6 and 12.6.7arrow_forwardExplain the focus and reasons for establishment of 12.5.1(lim(n->infinite) and sigma of k=0 to n)arrow_forwardExplain the focus and reasons for establishment of 12.5.3 about alternating series. and explain the reason why (sigma k=1 to infinite)(-1)k+1/k = 1/1 - 1/2 + 1/3 - 1/4 + .... converges.arrow_forward
- Explain the key points and reasons for the establishment of 12.3.2(integral Test)arrow_forwardUse identity (1+x+x2+...+xn)*(1-x)=1-xn+1 to derive the result of 12.2.2. Please notice that identity doesn't work when x=1.arrow_forwardExplain the key points and reasons for the establishment of 11.3.2(integral Test)arrow_forward
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