May 2019

Problem
Find the equation of the curve passing through the point (3, 2) and having s slope 5x2 - x + 1 at every point (x, y).

A.   $y = \frac{5}{3}x^3 - \frac{1}{2}x^2 + x - \frac{31}{3}$ C.   $y = 5x^3 - 2x^2 + x - 118$
B.   $y = 5x^3 - 2x^2 + x - 31$ D.   $y = \frac{5}{3}x^3 - \frac{1}{2}x^2 + x - \frac{83}{2}$

 

Problem
The number of hours daylight, D(t) at a particular time of the year can be approximated by
 

$D(t) = \dfrac{K}{2}\sin \left[ \dfrac{2\pi}{365}(t - 79) \right] + 12$

 

for t days and t = 0 corresponding to January 1. The constant K determines the total variation in day length and depends on the latitude of the locale. When is the day length the longest, assuming that it is NOT a leap year?

A.   December 20 C.   June 20
B.   June 19 D.   December 19

 

Problem
The local weather forecaster says “no rain” and his record is 2/3 accuracy of prediction. But the Federal Meteorological Service predicts rain and their record is 3/4. With no other data available, what is the chance of rain?

A.   3/5 C.   1/6
B.   1/4 D.   5/12

 

 
 
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