Answer:
45.27feet
Step-by-step explanation:
Given the height of the balloon (in feet) represented by the equation h=−16t2+28.7t+32.4, where t is the time (in seconds)
Note that the velocity of the balloon at maximum height is zero, hence;
v = dh/dt =0
-32t+28.7 = 0
-32t = -28.7
t = 28.7/32
t = 0.897secs
Get the maximum height
Recall that h=−16t²+28.7t+32.4
h = -16(0.897)²+28.7(0.897)+32.4
h= -12.87+25.74+32.4
h = 45.27feet
Hence the maximum height reached is 45.27feet
Answer:
The average rate of change for the function over the given integral

Step-by-step explanation:
Explanation
<u>Average rate of a functio</u>n:-
<u>We can define the average rate of change of a function from a to b</u>
<u></u>

Given function f(x) = eˣ
Given interval x = a = -2 and y = b = 0
f(a) = f(-2) = e⁻²
f(b) = f(0) = e⁰

The average rate of change for the function over the given integral
Answer:
x = -12
Step-by-step explanation:
-10x+1+7x=37
Combine like terms
-3x+1 = 37
Subtract 1 from each side
-3x+1-1 = 37-1
-3x = 36
Divide by -3
-3x/-3 = 36/-3
x = -12