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
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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
Use point-slope form to write the equation of the line with the given properties.
?
?
A.
B. ?
C. ?
D. ?
E. ?
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)