Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer.log (3 + x) - log (x - 3) = log 3
A.
B. ?
C. {-6}
D. {6}
Answer: D
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If r(t) is the position vector of a particle in the plane at time t, find the indicated vector.Find the acceleration vector.r(t) = (6 ln(2t))i + (7t3)j
A. a = - 3t-2i + 42tj
B. a = t-2i + 42tj
C. a = - i + 42tj
D. a = i + 21tj
Sketch a continuous curve that has the given characteristics.f(2) = 3f "(x) > 0 for x > 4f "(x) < 0 for x < 4
What will be an ideal response?
Find the domain of the function.
A. [3, ?) B. (-?, ?) C. (3, ?) D. (-?, 3) ? (3, ?)
Solve the problem.Each month a beauty salon gives x manicures for $12.00/manicure. The cost to the owner of the beauty salon for each manicure is $7.35. The monthly fixed cost to maintain a manicure station is $120.00. Write an equation that relates the monthly profit, in dollars, to the number of manicures given each month. Then use the equation to find the monthly profit when 200 manicures are given in a month.
What will be an ideal response?