Answer:
C
Step-by-step explanation:
Since this is an indererminate form, use L'Hopital
d(sint)/dt = cos(t)
d[ln(2e^t) - 1] = (2e^t)/[2e^t - 1]
As t --> 0,
cos(0) = 1
(2e^t)/[2e^t - 1] = 2
1/2 is the limit
Answer:
Answer D: f(-2) = 2
Step-by-step explanation:
To evaluate f(-2) we need to find what is the y-value that the graph shows for the x-value "-2".
To find such, we look for the value x = -2 on the horizontal (x) axis (located two units to the left of the origin of coordinates (0,0)), and from there, we investigate at what y-value (value on the vertical y-axis) a line that follows the vertical grid passing through x = -2, intercepts the graph of the function.
That is pictured with a red dot in the attached image. Notice that the y-value at which such intersection occurs is y = 2.
Therefore f(-2) = 2
Answer:
113 feet
Step-by-step explanation:
I will assume you meant h = -4.9t^2 + 135; "t2" is incorrect.
To answer this question, to find the height of the ball after 2.1 seconds, substitute 2.1 for t in the above equation:
h(2.1) = -4.9(2.1)^2 + 135. This becomes -21.6 + 135, or 113.4.
The closest result to the height of the ball after 2.1 seconds is 113 feet.
Answer:
4x109
Step-by-step explanation: 4x109=436 and that is the closest to that number.