The distance covered by an object is governed by the expression x³+3x²+2x. The speed equation is given by speed = distance/time. The distance is x³+3x²+2x and the time is x + 1. So, divide them and you will get a speed of x² + 2x
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For #4, break up what's under the radical sign into 100 * 2, and then break the n^8 into n^2*n^2*n^2*n^2 so it's easy to see how to pull out what you need to. 100 is a perfect square: 10*10, so you can pull that out, leaving the 2, and you can also pull out 4 n's, so for #4, the answer is 10n^4 sqrt2.
#5 breaks up into 9*7, with 9 being the perfect square 3*3. Break the n^9 up into n^2*n^2*n^2*n^2*n. So you can pull out the 3 and 4 of the n's, which gives you 3n^4sqrt7n
Answer:
The function is given below as
Using the interval below
A relative maximum point is a point where the function changes direction from increasing to decreasing (making that point a "peak" in the graph).
Similarly, a relative minimum point is a point where the function changes direction from decreasing to increasing (making that point a "bottom" in the graph).
Using a graphing tool, we will have the relative maximum and relative minimum to be
Hence,
The relative maximum is at
The relative minimum is at
