Solve.The current i in an electric circuit is 
8 cos ?t. Write the first three terms of the Taylor series of this function about 
A. 8 cos 
- 8? sin 
- 4?2 cos 
2 + . . .
B. 8 cos 
- 8? sin 
+ 8?2cos 
2 + . . .
C. 8 cos 
+ 8?t sin 
+ 4?2t2 cos 
+ . . .
D. 8 cos 
- 8 sin 
- 4 cos 
2 + . . .
Answer: A
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Provide an appropriate response.A yeast culture is growing at a rate of A'(t) = 0.3e0.2t2, where t is the time in hours and A(t) is the amount in grams. Use n = 8 and the trapezoidal rule to approximate 
the amount the culture grew over the first four hours.
Fill in the blank(s) with the appropriate word(s).
Find the focus and the directrix of the parabola.x2 + 2x - 8y + 17 = 0
A. Focus: (-1, 10); directrix: y = 6
B. Focus: (-1, 4), directrix: y = 
C. Focus: (-1, 0); directrix: y = 4
D. Focus: (-1, 4); directrix: y = 0
Joe wants to retire in 20 years. How much does Joe need to place into an account today to retire with $1,000,000 if the account pays 8% interest compounded annually?
A. $214,548.20 B. $21,458.20 C. $46,319.34 D. $463,193.49 E. none of these
Graph the equation.
A. 
B. 
C. 
D. 
E. 