Given f(x)=17-x^2 what is the average rate of change in f(x) over the interval [1, 5]?

we know that

The average rate of change of the function f(x) over the interval [a,b] is equal to

in this problem

interval [a,b]---------->

for

for

substitute the values

therefore

the answer is

The average rate of change is equal to

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'.