Solve the problem.Let C[0, ?] have the inner product  = and let m and n be unequal positive integers. Prove that cos(mt) and cos(nt) are orthogonal.

A.  = 
 
   from [0, ?]
 = 1.
B.  = 
 
   from [0, ?]
 = 0.
C.  = 
 
 =  from [0, ?]
 = 1.
D.  = 
 
   from [0, ?]
 = 0.


Answer: D

Mathematics

You might also like to view...

Translate the question into an equation. Do not solve.94% of 35 is what number?

A. 94% = 35 ? x B. 94% ? x = 35 C. 94 ? 35 = x D. 94% ? 35 = x

Mathematics

Translate the sentence into an equation. Use x to represent the unknown number. Adding 5 to the product of 9 and a number equals 32.

A.  + 5 = 32
B. 5x + 9 = 32
C. 9x + 5 = 32
D. 9x + 32 = 5

Mathematics

Use point-slope form to write the equation of the line with the given properties. ? ?

A.
B. ?
C. ?
D. ?
E. ?

Mathematics

Find the center and foci of the hyperbola

a. Center: (1, 3), foci: (1, –5), (1, 11) b. Center: (3, 1), foci: (–5, 1), (11, 1) c. Center: (–3, –1), foci: (–3, –9), (–3, 7) d. Center: (–1, –3), foci: (–1, –11), (–1, 5)

Mathematics