ANSWER
See below
EXPLANATION
Part a)
The given function is

From the graph, we can observe that, the absolute maximum occurs at (-0.7746,6.1859) and the absolute minimum occurs at (0.7746,5.8141).
b) Using calculus, we find the first derivative of the given function.

At turning point f'(x)=0.

This implies that,



We plug this values into the original function to obtain the y-values of the turning points

We now use the second derivative test to determine the absolute maximum minimum on the interval [-1,1]


Hence

is a maximum point.

Hence

is a minimum point.

Hence (0,-6) is a point of inflexion
Answer: Number of ways 
Step-by-step explanation:
When there is no replacement , we use combination to find the number of ways to choose things.
Number of ways to choose r things out of ( with out replacement) = 
The number of ways to choose 8 things = ![^8C_8=\dfrac{8!}{8!(8-8)!}=\dfrac{1}{0!}=1 [\because 0!=1]](https://tex.z-dn.net/?f=%5E8C_8%3D%5Cdfrac%7B8%21%7D%7B8%21%288-8%29%21%7D%3D%5Cdfrac%7B1%7D%7B0%21%7D%3D1%20%20%5B%5Cbecause%200%21%3D1%5D)
Hence, Number of ways 
Answer:
10 17/20 in ^2
Step-by-step explanation:
The area is
A = bh
= (7 3/4 ) * ( 1 2/5)
Changing to decimal form
7.75 * 1.4
10.85
Changing back to fraction form
10 85/100
10 17/20 in ^2