Solve and graph. Write the answer in set-builder notation.
? 3 
A. {b |b ? 12}
B. {b |b > 12}
C. {b |b ? 12}
D. {b |b < 12}
Answer: A
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The position vector of a particle is r(t). Find the requested vector.The acceleration at t = 3 for r(t) = (5t - 3t4)i + (3 - t)j + (3t2 - 10t)k
A. a(3) = -324i + 6k B. a(3) = -324i - j + 6k C. a(3) = -81i + 6k D. a(3) = 324i + 6k
Evaluate for the given x and function f.f(x) =
+ 10 for x = 6
A.
B. 2
C. 12
D. Does not exist
Simplify the trigonometric expression by following the indicated direction.Multiply by
Fill in the blank(s) with the appropriate word(s).
Solve the problem.The rate of growth of the profit (in millions) from an invention is approximated by where x represents time measured in years. The total profit in year 1 that the invention is in operation is $30,000. Find the total profit function. Round to three decimal places where appropriate.
A. P(x) = -0.5e-x2 + 0.214 B. P(x) = -0.5e-x2 - 214,000 C. P(x) = -0.5e-x2 + 214,000 D. P(x) = -0.5e-x2 - 0.214