Parametric equations 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 = 5t + 3, y = 15t + 12, -? ? t ? ?
A. y = 3x - 3
Entire line, from left to right
B. y = 3x + 3
Entire line, from left to right
C. y = 3x + 3
Entire line, from right to left
D. y = 3x - 3
Entire line, from right to left
Answer: B
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Evaluate the spherical coordinate integral.
A. ?
B. ?
C. ?
D. ?
Write the first five terms of the geometric sequence with the first term a1 and common ratio r.a1 = 4, r = -
A. 4, - ,
, -
,
B. 4, ,
,
,
C. 4, -12, 36, -108, 324
D. , -
,
, -
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A hemisphere-shaped dome of radius 70 ft is to be coated with a layer of rust-proofer before painting. Use differentials to estimate the amount of rust-proofer needed if the coat is to be 0.03 in. thick.
?
Hint: The volume of a hemisphere of radius r is .
?
A. 76.97 ft3 B. ?76.54 ft3 C. ?77.54 ft3 D. ?76.78 ft3
Find decimal notation for the number(s) in percent notation.A record store downtown is offering 3% off all purchases for the month of December.
A. 0.03 B. 0.3 C. 0.03% D. 3