If r(t) is the position vector of a particle in the plane at time t, find the indicated vector.Find the velocity vector.r(t) = (cot t)i + (csc t)j
A. v = (-sec2 t)i - (tan t sec t)j
B. v = (-csc2 t)i - (cot t csc t)j
C. v = (sec2 t)i + (tan t sec t)j
D. v = (csc2 t)i + (cot t csc t)j
Answer: B
Mathematics
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Find the unit tangent vector of the given curve.r(t) = (8 + 2t8)i + (6 + 10t8)j + (4 + 11t8)k
A. T = 
i + 
j + 
k
B. T = 
i + 
j + 
k
C. T = 2i + 10j + 11k
D. T = 
i + 
j + 
k
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Solve the problem.Write an equation for the tangent line to the curve 
at the point 
A. 7x + 2y = 28 B. 7x + 2y = 14 C. 2x + 7y = 28 D. 2x + 7y = 14
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Solve the problem.To raise money, the local PTA bought 110 kg of caramels for 
. They sold the caramels in 450 g bags for $2.97 each. How much profit did they make?
A. $326.70 B. $429.00 C. $1755.00 D. $214.50
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Convert as indicated.7.9 kl to liters
A. 0.079 L B. 790 L C. 0.0079 L D. 7900 L
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