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
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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
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?
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
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