Solve the equation using an integrating factor., t > 0

A. y = Ce3t - 2
B. y = Ce3t + C
C. y = Ce3t
D. y = Ce-3t


Answer: A

Mathematics

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Write the compound statement in symbols. Then construct a truth table for the symbolicstatement.Let r = "The food is good," p = "I eat too much,"q = "I'll exercise."If the food is not good, I won't eat too much.

A. ~r ? ~p

TTT
TFT
FTF
F F   T  

B. ~(r ? p)

TTF
TFT
FTF
F F   T  

C. ~r ? ~p

TTT
TFF
FTF
F F   F  

D. ~(r ? p)

TTF
TFT
FTF
F F   F  

Mathematics

If the length of the hypotenuse of a 45°–45° right triangle is 7.3 ?3 cm, find its area and perimeter to the nearest hundredth.

What will be an ideal response?

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Find the domain and the vertical asymptote of the function.f(x) = ln x - 6

A. Domain: (-?, ?); vertical asymptote: none B. Domain: (- 6, ?); vertical asymptote: x = - 6 C. Domain: [0, ?); vertical asymptote: x = 0 D. Domain: (0, ?); vertical asymptote: x = 0

Mathematics

Determine whether the function is one-to-one.f(x) = 12

A. One-to-one B. Not one-to-one

Mathematics