Each day Larry needs at least 10 units of vitamin A, 12 units of vitamin B, and 20 units of vitamin C. Pill #1 contains 4 units of A and 3 of B. Pill #2 contains 1 unit of A, 2 of B, and 4 of C. Pill #3 contains 
of A, 1 of B, and 5 of C.Pill #1 costs 15 cents, pill #2 costs 12 cents, and pill #3 costs 
Larry wants to minimize cost. What are the coefficients of the objective function?
A. 10, 12, 20
B. 15, 4, 3
C. 4, 1, 10
D. 15, 12, 11
Answer: D
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Provide an appropriate response.It can be shown that the inequalities 1 - 
< 
< 1 hold for all values of x close to zero. What, if anything, does this tell you about 
Explain.
What will be an ideal response?
Solve the problem.The number of hours of sunlight in a day can be modeled by a sinusoidal function. In the northern hemisphere, the longest day of the year occurs at the summer solstice and the shortest day occurs at the winter solstice. In 2000, these dates were June 22 (the 172nd day of the year) and December 21 (the 356th day of the year), respectively. A town experiences 11.12 hours of sunlight at the summer solstice and 8.21 hours of sunlight at the winter solstice. Find a sinusoidal function 
that fits the data, where x is the day of the year. (Note: There are 366 days in the year 2000.)
A. y = 1.455 sin 
+ 9.665
B. y = 11.12 sin 
+ 9.665
C. y = 11.12 sin 
+ 8.21
D. y = 1.455 sin 
+ 9.665
Verify that each equation is an identity.7 csc2? - 3 cot2? = 4 csc2? + 3
What will be an ideal response?
Set the viewing rectangle of your graphing calculator to 
by 
to solve the problem.Find a set of parametric equations evaluated over 0 ? t ? 2? that produces the graph shown.
A.
| x1 = t/?, | y1 = t/? |
| x2 = 2t/?, | y2 = 0 |
| x3 = 2 + t/?, | y3 = 2 - t/? |
B.
| x1 = -1 + t/?, | y1 = -4 + t/? |
| x2 = -1 + 2t/?, | y2 = -4 |
| x3 = 1 + 2t/?, | y3 = -2 - t/? |
C.
| x1 = -1 + t/?, | y1 = -4 + t/? |
| x2 = -1 + t/?, | y2 = -4 |
| x3 = 1 + t/?, | y3 = -2 + t/? |
D.
| x1 = -1 + t/?, | y1 = 1 + 3sin(t) |
| x2 = -1 + 2t/?, | y2 = -4 |
| x3 = -1 + t/?, | y3 = 2 - t/? |