Find the equation of the circle whose center and radius are given.
center ( 5.6), radius = 3

(x-5)² + (x-6)² = 9

Step-by-step explanation:

Remember that the equation of a circle is (x - h)² + (x - k)² = r², with r being the radius and (h,k) being the center point of a circle.

Since we are already given r and (h,k), all we need to do is plug them into the formula to find our equation.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.