Solve the initial value problem.Differential Equation:  = i + (7t3 - 5t)j + kInitial Condition: r(0) = 2j + (ln 6)k

A. r(t) = ti + j + ln(t + 6)k
B. r(t) = i + j + (ln 6)k
C. r(t) = ti + j + (ln t)k
D. r(t) = ti + j + (ln 6)k


Answer: A

Mathematics

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Solve the system by the substitution method. If there is no solution or an infinite number of solutions, so state. Use set notation to express the solution set.

A. {(1, 1)}
B. infinitely many solutions; { y - 6x = 2} or { 5y = 30x + 10}
C. no solution; ?
D. {(-1.5, -1)}

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Graph the equation. +  = 1

A.

B.

C.

D.

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Solve the problem.The cost for labor associated with fixing a washing machine is computed as follows: There is a fixed charge of $25 for the repairman to come to the house, to which a charge of $27 per hour is added. Find an equation that can be used to determine the labor cost, C(x), of a repair that takes x hours.

A. C(x) = ( 25 + 27) x B. C(x) = 25 + 27x C. C(x) = 27 + 25x D. C(x) = 25 - 27x

Mathematics

Rationalize the denominator.

A. 10
B. 10
C.
D. 1

Mathematics