Solve the proportion.


Mathematics

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Find the unit tangent vector of the given curve.r(t) = (10t cos t - 10 sin t)j  + (10t sin t + 10 cos t)k

A. T = (10 cos t)j  - (10 sin t)k
B. T = (-10 sin t)j  + (10 cos t)k
C. T = (-sin t)j  + (cos t)k
D. T = - (sin t)j  + (cos t)k

Mathematics

Provide an appropriate response.What does the graph of the equation  look like?

A. The yz-plane B. The xz-plane C. The y-axis D. The x-axis

Mathematics

Perform the indicated operation. Simplify if possible. - 5x

A.
B.
C.
D.

Mathematics

Solve the equation for the indicated variable. (Leave ± in your answer, when appropriate.)x = ±  for r

A. r = ± 
B. r = ± 
C. r = x + y
D. r = ±  

Mathematics