Solve the problem.A bacterial culture increases in population every hour with a rate proportional to the difference between 10,000 and the given population. Write a difference equation for yn, the population after n hours.
What will be an ideal response?
yn = yn-1 + k(10,000 - yn-1)
Mathematics
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Evaluate the integral by using a substitution prior to integration by parts.
A. ln (8x + 8x2) - 2x + C B. xln (8x + 8x2) + C C. xln (8x + 8x2) + ln (x +1) - 2x + C D. ln (8x + 8x2) + ln (x +1) + C
Mathematics
Simplify.- 
A. -84
B. -22
C. -6
D. -14
Mathematics
Find the x- and y-intercepts for the equation. Then graph it.-6x - 24y = 24
A. (0, -1), (-4, 0)
B. (0, 4), (1, 0)
C. (0, -1), (4, 0)
D. (0, -4), (-1, 0)
Mathematics
Find the derivative of y with respect to x.y = -sin-1 (7x2 + 2)
A. 
B. 
C. 
D. 
Mathematics