Find the unit tangent vector of the given curve.r(t) = (4t cos t - 4 sin t)j  + (4t sin t + 4 cos t)k

A. T = - (sin t)j  + (cos t)k
B. T = (4 cos t)j  - (4 sin t)k
C. T = (-4 sin t)j  + (4 cos t)k
D. T = (-sin t)j  + (cos t)k


Answer: D

Mathematics

You might also like to view...

Factor completely. If unfactorable, indicate that the polynomial is prime.x3 - 36x + 2x2 - 72

A. (x2 - 36)(x + 2) B. prime C. (x - 6)2(x + 2) D. (x + 6)(x - 6)(x + 2)

Mathematics

Use the Half-angle Formulas to find the exact value of the trigonometric function. sin 

A.  
B.  
C.  
D.  

Mathematics

Find the quotient.(40x8 + 30x5 - 10x3) ÷ (-5x3)

A. -8x5 + 30x5 - 10x3 B. -8x5 - 6x2 + 2 C. 40x5 + 30x2 - 10 D. -8x8 - 6x5 + 2x3

Mathematics

Fill in the blank with one of the words or phrases listed below.A symbol used to represent a number is called a .

A. variable B. base C. set D. solution

Mathematics