Answer:
D) h(3)-h(0)/3
Step-by-step explanation:
The average rate of change is found by subtracting the output values (finding the amount of change in the output values) and dividing it by the change in the input values.
The height in the 3rd second would be given by h(3). The original height would be given by h(0). The change in output values would be given by h(3)-h(0).
The change in input values is found by subtracting the two input values, in this case 3 and 0; 3-0 = 3.
This gives us
h(3)-h(0)/3
First, replace f(x) with y.
So we have now:
y = 3x + 1
Next, switch the x and y.
We get:
x = 3y + 1
Finally, solve for y.
3y = x - 1
y = x/3 - 1/3
So, we have f(x) = 3x + 1, and the inverse of this function is:
Answer:
d
Step-by-step explanation:
..................
4y^-3 - x^2y^-1 = 2y^-1(2y^-2 - x^2)
Answer:

Step-by-step explanation:
To determine the area of the definite integral, we take each term and find its corresponding integral. We know that
, so therefore we rewrite the expression as
.
Now, we plug in each limit into the expression and find the difference between them:






Therefore, 