Assuming there is no specific percentages in the grade book, you would need a grade of 95 to get your whole grade to 90. You find this out by working backwards starting with 90 to find average. You take 90 times 2 which equals 180 and you subtract 85 from that to get 95! Brainliest?

8 0

2 years ago

Hi, am I supposed to find the stationary points of the f(x) and g(x) then use the distance formula to solve for the final answer

nikdorinn [45]

9514 1404 393

Answer:

maximum difference is 38 at x = -3

Step-by-step explanation:

This is nicely solved by a graphing calculator, which can plot the difference between the functions. The attached shows the maximum difference on the given interval is 38 at x = -3.

Ordinarily, the distance between curves is measured vertically. Here that means you're interested in finding the stationary points of the difference between the functions, along with that difference at the ends of the interval. The maximum difference magnitude is what you're interested in.

h(x) = g(x) -f(x) = (2x³ +5x² -15x) -(x³ +3x² -2) = x³ +2x² -15x +2

Then the derivative is ...

h'(x) = 3x² +4x -15 = (x +3)(3x -5)

This has zeros (stationary points) at x = -3 and x = 5/3. The values of h(x) of concern are those at x=-5, -3, 5/3, 3. These are shown in the attached table.

The maximum difference between f(x) and g(x) is 38 at x = -3.

4 0

2 years ago