1) slope of the line = derivative of the of the function at the given point.
y' = cosx - x cosx
Evaluate for x = pi => y' = cos(pi) - pi*cos(pi) = -1 - (pi*cos(pi)) = -1 + pi
Then slope = -1 + pi
Given point: (pi, -pi)
Equation:
y - (-pi) = [-1+ pi] (x - pi)
y + pi = -x +pi + xpi -pi^2
y = (pi-1)x - pi^2 .... this is the answer
Answer:
For t = 0.33 s, H = 14.0976 feet;
For t = 3 s, H = 0 feet;
For t = 16 s, H = -3328 feet;
For t = 48 s, H = -34560 feet.
Step-by-step explanation:
Assuming there's a typo on the problem and it wishes to determine the distance traveled by the ball in the given times instead of the time, we can solve it as shown below:
For t = 0.33 s:

For t = 3 s:

For t = 16 s:

For t = 48 s:

Answer:
2x - 18 = 5
Step-by-step explanation:
An equation for eighteen less than twice a number is 2x - 18 = 5
Answer:
$35.10
Step-by-step explanation: