Write the vector u as a sum of two orthogonal vectors, one of which is the vector projection of u onto v, projvu .u = , v = 

A.  + 
B.  + 
C.  + 
D.  + 


Answer: C

Mathematics

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Find the exact value under the given conditions.Given cos u = - , with u in quadrant II, and sin v = , with v in quadrant II. Find tan(u + v).

A. - 
B.
C.
D. - 

Mathematics

For the given rectangular equation, write an equivalent polar equation.x2 + 4y2 = 4

A. r2(cos2? + 4 sin2?) = 4 B. cos2? + 4 sin2? = 4r C. 4 cos2? + sin2? = 4r D. r2(4 cos2? + sin2?) = 4

Mathematics

Two joggers set out at the same time from their homes 18 miles apart. They agree to meet at a point somewhere in between in an hour and a half. If the rate of one is 2 mph faster than the rate of other, find the rate of each.

What will be an ideal response?

Mathematics

Evaluate the given binomial coefficient.

A. 5 B. 1 C. 10 D. 0

Mathematics