The rate r(t) (in liters per minute) at which the heart of a bleeding accident victim pumps blood out of the body is a function of how many minutes t have passed since the person was injured. Which of the following gives the amount of blood lost by the victim over the one hour period directly after the accident occurred? r(1) 60 | r'(t) dt 0. r(t) dt 60 r(t) dt r(60)

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?

Let f(x)=1x . Find the number b such that the average rate of change off on the interval (2,b) is 110 .

–0.05? The number (t) of new cases of a flu outbreak for a given city is given by N (t) = 3500·2 where t is the number of months since the outbreak began. (a) Find the average rate of change in the number of new flu cases between months 0 and 2, and interpret the result. (Round to the nearest whole unit.) (b) Find the average rate of change in the number of new flu cases between months 4 and 6, and between months 10 and 12. (Round to the nearest whole unit.) (c) Use a graphing utility to graph the function. Use the graph and the average rates of change found in parts (a) and (b) to discuss the pattern of the number of new flu cases. Part: 0 / 4 Part 1 of 4 (a) The average rate of change in the number of new flu cases between months 0 and 2 is approximately -227 The number of new flu cases dropped by approximately 453 cases per month during this time interval.

dx x? V4-8x² 2.5 V16-9x? -dx 2х dx 3.5 (5-4x)" 3/2

cosh x dx e~ 2x

1.0⁰0 -9 (3x + 1)² dx

Pls help ASAP

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The weekly cost C, in dollars, of manufacturing x lightbulbs is C(x) = 7500+ V125x (a) Find the average rate of change of the weekly cost C of manufacturing from 100 to 150 lightbulbs. Give answer correct to two decimal places. Give proper units. (b) Find the instantaneous rate of change in the weekly cost when 125 lightbulbs are manufactured. Give answer correct to two decimal places. Give proper units.