Determine if the given function y = f(x) is a solution of the accompanying differential equation.y' - y = 9exy = e9x + 9xex
A. Yes
B. No
Answer: B
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Solve.In 1996, an outbreak of a disease infected 11 people in a large community. By 1997, the number of those infected had grown to 35. Find an exponential growth function that fits the data. (Round decimals to three places.)
A. N(t) = 11e1.157t, where t is the number of years after 1997. B. N(t) = 11e11.57t, where t is the number of years after 1996. C. N(t) = 11e11.57t, where t is the number of years after 1997. D. N(t) = 11e1.157t, where t is the number of years after 1996.
Find the extreme values of the function and where they occur.y = x2e-x + 2xe-x
A. Minimum value is 2e
(1 - 
) at x = -
; maximum value is 2e-
(1 + 
) at x = 
.
B. Minimum value is 2e
(1 - 
) at x = -
; no maximum value.
C. Maximum value is 2e-
(1 + 
) at x = ; no minimum value.
D. None
Find the general term of the arithmetic sequence.
, 
, 
, 
, 
, . . .
A. an = 
B. an = 
C. an = 
D. an = 
Solve the proportion.
= 
A. 12
B. 10
C. 2
D. 25