Tanya is having a bake sale and must bake cupcakes. She has cupcakes donated by a friend and after her first hour of baking, Tanya has a total of 60 cupcakes. She has 84 cupcakes after the second hour of baking.
Tanya continues baking the same number of cupcakes each hour.
Select the value to correctly complete the sentence.
The graph for the number of cupcakes baked will have a slope of
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and a vertical intercept of
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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.

think about the doctor who treated the major and the speaker in the short story "in another country." put yourself in the shoes of the doctor, and based on what you read in the story, write what you think his thoughts about the major and the speaker would be. use the following vocabulary in your response and change the form of these words as needed: detached resign withered