A license plate consists of any five capital letters from the ordinary English alphabet (A through Z) except for the letters O, I, and Q.How many of the license plates have no repeated letters?

A. 23 × 5
B.
C.
D. 235
E. none of these


Answer: C

Mathematics

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Use implicit differentiation to find the specified derivative at the given point.Find  at the point (2, 1) for ln x + xy2 + ln y = 0.

A. - 
B.
C. -1
D. 1

Mathematics

Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the . y = 8x, y = 8, x = 0

A. ?
B. ?
C. 4?
D. 24?

Mathematics

Expand and simplify the given expression by use of the binomial formula.(n - 5?)5

A. n5 - 25?n4 + 250?2n3 - 1250?3n2 + 3125?4n - 3125?5 B. n5 - 25?n4 + 250?2n3 + 250?3n2 - 25?4n - 3125?5 C. n5 - 25?n4 + 250?n3 - 1250?n2 + 3125?n - 3125? D. n5 + 25?n4 + 250?2n3 + 1250?3n2 + 3125?4n + 3125?5

Mathematics

Provide an appropriate response.Which of the following statements defines f(x) = -??I. For every negative real number B there exists a corresponding ? > 0 such that f(x) < B whenever x0 - ? < x < x0 + ?.II. For every negative real number B there exists a corresponding ? > 0 such that f(x) < B whenever x0 < x < x0 + ?.III. For every negative real number B there exists a corresponding ? > 0 such that f(x) < B whenever x0 - ? < x < x0.

A. III B. I C. II D. None

Mathematics