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1) The ball's position is described by:
s(t) = 4.9t² + 450
We want to find the velocity, which is the 1st-order derivative of the displacement function (I assume this is an introductory calculus class)
s'(t) = v(t) = 9.8t
We get this by multiplying 4.9 x 2 and reducing the exponent by 1. Now we simply plug 5 in for t.
v(5) = 9.8* 5
v(5) = 49m/s
2) Our cost function is C(x) = x² - 10,000
To find the average rate of change between these units, we use this formula:
( C(101) - C(100) ) ÷1 .
We find the change in C, and divide by the change in x, which is just one.
C(101) = 101² - 10,000
C(101) = 201
C(100) = 100² - 10,000
C(100= 0
C(101) - C(100) = 201
Average rate of change in cost is 201 dollars/ unit between the two points.
Answer:
The domain is -11 < x < 4 or in interval notation it is (-11, 4).
Step-by-step explanation:
The domain is the set of possible values of x.
Here the open circles at each end mean that these values are not included.
Answer:
Percentage increase.
Step-by-step explanation:
It took the Phillips family 6 hours to drive to their vacation destination. 2 hours and 42 minutes extra because of traffic.
8 hours 42 minutes
-
6 hours 0 minutes
=
2 hours and 42 minutes
Percentage increase.
