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.

.

step-by-step explanation:

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.