Perform the indicated operations. Assume that all variables represent nonnegative real numbers.3
- 2x 
A. 2x 
B. x
C. 3 
- 2x 
D. Cannot simplify
Answer: B
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Solve the initial value problem.y'(t) + 4y = 3, y(0) = 1
A. y = 
e-4t + 
B. y = 
e-4t + 
C. y = 
e4t + 
D. y = 
e4t + 
Provide an appropriate response. Under which of the following conditions of k will this quadratic, x2 + kx + 36 = 0, have one real root?
A. k = 6, -6 B. k = 12 C. k = 12, -12 D. k = 6
Use Pascal's triangle to expand the binomial.(x - 3y)6
A. x6 - 18x5y + 135x4y2 - 540x3y3 + 1215x2y4 - 1458xy5 + 729y6 B. x6 - 18x5y - 108x4y2 - 486x3y3 - 972x2y4 - 1458xy5 - 729y6 C. x6 - 18x5y + 36x4y2 - 54x3y3 + 36x2y4 - 18x y5 + 3y6 D. x6 - 18x5y - 729x4y2 - 60x3y3 - 729x2y4 - 18xy5 - 3y6
Solve the problem.The logistic function f(t) = 
models the number of people who have become ill with a particular infection t weeks after its initial outbreak in a particular community. How many people were ill after 5 weeks?
A. 150 people B. 55,001 people C. 27,317 people D. 56,833 people