Translate the problem to a system of equations and then solve.The sum of two numbers is 76. The larger number is three times the smaller number. Find the numbers.
A. 60, 16
B. 17, 51
C. 19, 57
D. 17, 59
Answer: C
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The position vector of a particle is r(t). Find the requested vector.The acceleration at t = 1 for r(t) = t5i + 2ln
j + 
k
A. a(1) = 20i + 
j - 10k
B. a(1) = 20i + 
j + 10k
C. a(1) = 20i - 2j - 10k
D. a(1) = 20i + 2j + 10k
Parametric equations and and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion.x = 3 cos t, y = 3 sin t, ? ? t ? 2?
A. x2 + y2 = 1; Clockwise from
(1, 0) to (1, 0), one rotation
B. x2 + y2 = 9; Counterclockwise from
(-3, 0) to (3, 0)
C. x2 + y2 = 9; Counterclockwise from
(3, 0) to (3, 0), one rotation
D. x2 + y2 = 9; Clockwise from (3, 0) to (-3, 0)
Use a finite approximation to estimate the area under the graph of the given function on the stated interval as instructed.f(x) = x2 between x = 3 and x = 7 using the midpoint sum with four rectangles of equal width.
A. 126 B. 117 C. 105 D. 86
Solve.The braking distance D in feet required for a car traveling x miles per hour to stop on dry, level pavement can be approximated by D = 
x2. If the braking distance is 84 feet, estimate the speed of the car. If necessary, round to the nearest mile per hour.
A. 30 mph B. 8 mph C. 924 mph D. 9 mph