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) = (3 ln(2t))i + (6t3)j

A. a = i + 18tj
B. a = t-2i + 36tj
C. a = - t-2i + 36tj
D. a = - i + 36tj


Answer: D

Mathematics

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Find the least common multiple (LCM) of the pair of numbers.15 and 24

A. 1080 B. 360 C. 15 D. 120

Mathematics

Translate the phrase into a mathematical expression and then find the result.355 gallons less than 1027 gallons

A. 1027 - 355; 662 gallons B. 1027 + 355; 1382 gallons C. 1027 - 355; 672 gallons D. 355 + 1027; 1282 gallons

Mathematics

Simplify the rational expression. If the rational expression cannot be simplified, so state.

A. Cannot be simplified
B.
C.
D.

Mathematics

Solve the problem.The function f(t) = -0.15t2 + 0.53t + 30.4 models the U.S. population in millions, ages 65 and older, where t represents years after 1990. The function g(t) = 0.56t2 + 12.6t + 105.6 models the total yearly cost of Medicare in billions of dollars, where t represents years after 1990. What does the function  represent? Find (10).

A. Cost per person in thousands of dollars. $0.07 thousand B. Cost per person in thousands of dollars. $0.18 thousand C. Cost per person in thousands of dollars. $8.97 thousand D. Cost per person in thousands of dollars. $13.89 thousand

Mathematics