Answer:

Step-by-step explanation:
Area of rectangle= Length*Width
so
multiply each coefficient of a times 4a^2
then take a^2 common factor so it will be
=area
The definition of the derivative is

as h goes to 0. So since the f is ln(x)

Since it is evaluated at 5 (the point 5, ln5), it is
Answer:
0.125 seconds.
Step-by-step explanation:
We have been given that the height of a ball above the ground as a function of time is given by the function
, where h is the height of the ball in feet and t is the time in seconds.
We can see that our given equation is a downward opening parabola as its leading coefficient is negative. The maximum point will be vertex of parabola.
To find the time, when the ball would be at its maximum height, we need to find the x-coordinate of vertex.
Using formula
, we will find the x-coordinate of vertex of parabola as:





Therefore, the ball will be at a maximum height after 0.125 seconds.
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Step-by-step explanation:
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Answer:
(10, 8) is the distance.
Step-by-step explanation:
The x's are 10 points away from each other and y's are 8 points away from each other.
By the way, there is no second picture.
Sorry if I'm wrong. I might be more helpful if you upload the second picture.