CALCULUS:GRAPHICAL...,AP ED.-W/ACCESS
5th Edition
ISBN: 9780133314564
Author: Finney
Publisher: SAVVAS L
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Determine the value of k so that the rate of change of the function f (x) = 4x² + kx – 7 is 7
when -1< x < 2.
When medicine is administered, reaction (measured in change of blood pressure or temperature) can be modeled by
m
= m ² (²-7)
R
where c is a positive constant and m is the amount of medicine absorbed into the blood. + The sensitivity to the medication is defined to be the rate of change of reaction R with respect to the amount of medicine m absorbed in the blood.
(a) Find the sensitivity.
X
(b) Find the instantaneous rate of change of sensitivity with respect to the amount of medicine absorbed in the blood.
(c) Which order derivative of reaction gives the rate of change of sensitivity?
O first derivative
O second derivative
third derivative
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- The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?arrow_forwardf(x) = 2x² + 8x at the point x = 2. %3Darrow_forward*A company manufactures coffee makers and has total revenue function R(x) = 39x -0.01x² where is the number of coffee makers sold. What is the average rate of change in revenue when the number of coffee makers increases from 15 to 30? Select an answer (Round to two decimal places if needed.) 80arrow_forward
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