Multiply.
? 
A.
B.
C.
D.
Answer: C
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Solve the given differential equation. (The form of yp is given.)D2y - y = 3 + x2 (Let yp = A + Bx + Cx2.)
A. y = c1ex + c2e-x + 5 - x2 B. y = c1ex + c2xex - 5 - x2 C. y = c1ex + c2e-x - 5 - x2 D. y = c1ex + c2e-x - 5 + x2
Determine whether S defines a function.S = {(-4, 9), (-3, 5), (2, -6), (5, 1)}
A. Yes B. No
Two chemical solutions, one containing N molecules of chemical A and another containing M molecules of chemical B, are mixed together at time t = 0. The molecules from the two chemicals combine to form another chemical solution containing y (AB) molecules. The rate at which the AB molecules are formed, , is called the reaction rate and is jointly proportional to
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where k is a constant (we assume the temperature of the chemical mixture remains constant during the interaction). Solve this differential equation with the side condition
assuming that
and
.
?
Hint: Use the identity
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What will be an ideal response?
Simplify.(-35 ÷ 5) - (9 ÷ 9)
A. -8 B. 7 C. 6 D. -7