Solve the initial value problem.
= 
- 
, y(0) = -1
A. y = 2 tan-1 x - 1
B. y = 2 cot-1 x - 3 sin-1 x
C. y = 2 tan-1 x - 3 sin-1 x - 1
D. y = 2 tan-1 x - 3 sin-1 x + 1
Answer: C
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Provide an appropriate response.Does the graph of f(x) = 
have a tangent at the origin? Give reasons for your answer.
What will be an ideal response?
Solve.The monthly sales (in thousands of dollars) of a small business can be modeled by the function 
where x is the time in months, with x = 0 corresponding to July. Find the first three terms of the Maclauren expansion of this function.
A. 60 - 
?x- 
?2x2 + . . .
B. 60 - 
?2x2 + 
?4x4 + . . .
C. 60 - 
?2x2 + 
?4x4 + . . .
D. 60 - 
x2 + 
x4 + . . .
Solve the problem.The world population of a certain species is evaluated at 2.3 × 106. By some projections, this population will be 6 times more important in 30 years. Express the population at that time in scientific notation.
A. 138 × 106 B. 13.8 × 107 C. 1.38 × 109 D. 1.38 × 107
Find all replacements (less than the modulus) for the question mark that make the statement true.2 - ? ? 9 (mod 9)
A. 7 B. 2 C. 4 D. 3