23. The function \( f ( t ) = - 16 t ^ { 2 } + 64 t + 5 \) models the height of a ball that was hit into the air, where \( t \) is measured in seconds and \( h \) is the height in feet. This table represents the height, \( g ( t ) \) , of a second ball that was thrown into the air. Which statement BEST compares the length of time each ball is in the air? A. The ball represented by \( f ( t ) \) is in the air for about \( 5 \) seconds, and the ball represented by \( g ( t ) \) is in the air for about \( 3 \) seconds. B. The ball represented by \( f ( t ) \) is in the air for about \( 3 \) seconds, and the ball represented by \( g ( t ) \) is in the air for about \( 5 \) seconds. C. The ball represented by \( f ( t ) \) is in the air for about \( 3 \) seconds, and the ball represented by \( g ( t ) \) is in the air for about \( 4 \) seconds. D. The ball represented by \( f ( t ) \) is in the air for about \( 4 \) seconds, and the ball represented by \( g ( t ) \) is in the air for about \( 3 \) seconds.
Pregunta
Answer
C
Related Questions
Q:
If \( y = f ( g ( h ( x ) ) ) , \) then the derivative \( y ^ { \prime } \) is given by which for
a) \( f ^ { \prime } ( g ( h ( x ) ) \)
b) \( f ^ { \prime } ( g ( h ( x ) ) h ^ { \prime } ( x ) \)
c) None of these
d) \( f ^ { \prime } ( g ( h ( x ) ) g ^ { \prime } ( h ( x ) ) \)
e) \( f ^ { \prime } ( g ( h ( x ) ) g ^ { \prime } ( h ( x ) ) h ^ { \prime } ( x )\)
Q:
Determine the following limits. If infinite, specify \( \infty \) or \( - \infty \) . If an answer does not exist, explain why. (NO POINTS WILL BE GIVEN IF A TABLE OF VALUES IS USED) b. \( \lim _ { x \rightarrow 1 ^ { + } } [ \frac { x } { x - 1 } + \frac { 1 } { \ln ( x ) } ]\)