Consider the following. f(x) = x5 − x3 + 6, −1 ≤ x ≤ 1 (a) use a graph to find the absolute maximum and minimum values of the function to two decimal places. maximum minimum (b) use calculus to find the exact maximum and minimum values. maximum minimum

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

solution:

as, mean is defined as sum of all the observations divided by total number of observations.

and , median is mid value of the data whether arranged in ascending order or descending order.

consider, roadsters:

2,3,4,5,6,7,8,9

mean =

also, median= , because number of observations is even, so median is mean of two mid values.

now, coming to bandits

2,3,4,5,6

mean =  

median = 4, as number of observations is odd.

so, roadsters has greater median as well mean than bandits.

→option a is true about the repairs performed on 2 types of cars:

bandits have lower median and mean than roadsters.

it would take 7/10 of an hour too fill the pool.

step-by-step explanation: