Consider a circle whose size can vary. the circumference of the circle is always 2π times as large as its radius. let r represent the radius of the circle (in feet) and let c represent the circumference of the circle (in feet).

a. write a formula that expresses c in terms of r.
b. use your formula from part (a) to determine the circumference of a circle whose radius is 6 feet feet
c. write a formula that expresses r in terms of c.
d. use your formula from part (c) to determine the radius of a circle whose circumference is 37

a) C = 2πr

b) 37.68feet

c) r = C/2π

d) 5.89feet

Step-by-step explanation:

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.

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step-by-step explanation: