Find the unit tangent vector for the curve given by r(t) = multiple choice.png)
What will be an ideal response?
 ANSWER.png)
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Sketch D and g(D) from the description of D and change of variables 
u = xy, v = 
where D is the rectangle 1 ? u ? 4, 
? v ? 2
?
A.
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B.
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C.
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D.
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The growth rate G, in hundreds of new cases per day, in the spread of an epidemic depends on the number S, measured in hundreds, of currently sick individuals. The relationship, which is valid for up to 4000 currently sick people (that is, 
), is
.
A: What is the smallest value of S for which the growth rate is 1614 new cases per day (that is, 
)? Round your answer for S to the nearest whole number.B. For S between 0 and 40, what number of currently sick individuals gives the maximum growth rate, and what is that growth rate? Round the growth rate to the nearest whole number, and remember that G is measured in hundreds of new cases per day.C: Explain what is happening at value you found in part B.
What will be an ideal response?
Provide an appropriate response.Suppose that Jody drove 80 miles in 2 hours. Dividing 80 by 2 tells us how many miles Jody drove in each hour. The units for this rate are miles per hour (mi/hr). If we divide 2 by 80 what information would this give us? Give an interpretation of the rate 
. What units would be used for this rate?
What will be an ideal response?
Find the indefinite integral.
