Estimate the x-coordinates at which the relative maxima and relative minima occur for the function.
f(x) = 4x3 + 11x2 + 5
question 17 options:
a. the relative maximum is at x = 1.83, and the relative minimum is at x = 0.
b. the relative maximum is at x = –1.83, and the relative minimum is at x = 1.
c. the relative maximum is at x = –1.83, and the relative minimum is at x = 0.
d. the relative maximum is at x = 1.83, and the relative minimum is at x = 1.

Step-by-step explanation:

We could solve this problem by using calculus, but the correct answer is one of four options, so let's solve it graphically.

Create a table containing a few values of x and y.

Plot the points and draw a smooth curve between them.

Your graph should resemble the one below.

We see that there is a local maximum between x = -1 and x = -2, probably at x ≈ -1.8.

There is a local minimum at x = 0.

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation:

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls