Prove the identity.tan-1x = sin-1 
What will be an ideal response?
| tan-1x | sin-1  |
| sin(tan-1x) | sin |
 ? |  |
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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?
Restate the fact as indicated.In a given year, the U.S.annual energy consumption is roughly 1 × 1020 Joules. Express this as energy consumption per person per second. Assume that the U.S. population during this year is roughly 280 million. .
A. 3.6 × 1011 Joules per person per second B. 680,000 Joules per person per second C. 11,324.9 Joules per person per second D. 190.3 Joules per person per second
Simplify the algebraic expression.4x + 8x
A. 12x B. -4x C. 12x2 D. 4x
Use polar coordinates to find the limit of the function as (x, y) approaches (0, 0).f(x, y) = 
A. 1 B. 2 C. 0 D. No limit