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1 answer:
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Points (0, 47) and (36, 86) can be placed on the graph and a line drawn through them. That line will have slope (86-47)/(36-0) = 39/36 = 13/12.
At x=60, representing 1 hour on cruise control, the line will have a y-value of 112, indicating the driver has just passed mile marker 112, which is
112 -47 = 65
miles from when cruise control was first turned on.
The driver's average speed is 65 miles per hour.
At x=60, representing 1 hour on cruise control, the line will have a y-value of 112, indicating the driver has just passed mile marker 112, which is
112 -47 = 65
miles from when cruise control was first turned on.
The driver's average speed is 65 miles per hour.
Answer:
The approximation by Taylor series of f'(3) is 9.5000.
Step-by-step explanation:
Taking the two first terms for Taylor series gives the following expression:
Where e represents the error of the approximation and in this case is of second order. For this particular example, it is no required to calculate.
Note that in the equation x is the independent variable, in contrast, xo is the value where all the derivatives of the function are calculated and must be defined. Observe that the value for the first derivative in x equal 3 is wanted to know, so xo will be equal 3.
Now to find f'(3) will use the rest of the information that was given:
f(5)=28 (x=5)
Replacing the previous values in the Taylor expansion:
Solving the equation:
There was no rounding in the calculated value.
Answer:
The constant of proportionality is 6
Step-by-step explanation:
Recall the equation for direct variation is where
varies directly with
and
is the constant of proportionality. If we take any listed coordinate point, we can determine the value of
. I will use (20,120) as an example:
Therefore, the constant of proportionality is 6