Evaluate the expression without using a calculator.ln e2

A. 2
B.
C. log 2
D. -2


Answer: A

Mathematics

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Find the triple scalar product (u x v) ? w of the given vectors.u = 4i + 2j - k; v = 10i + 8j - 6k; w = 7i + 10j - 3k

A. 124 B. 76 C. 68 D. -348

Mathematics

Find a bound on the real zeros of the polynomial function.f(x) = x5 + 3x4 + 5x3 - 2x2 + 4x - 1

A. -6 and 6
B. -  and 
C. -15 and 15
D. -10 and 10

Mathematics

According to the Chebychev inequality, if a probability distribution with numerical outcomes has mean ? and standard deviation ?, then the probability that a randomly chosen outcome lies between ? - c and  is

A. no more than  - 1.
B. no more than 1 - .
C. at least 1 - .
D. at least  - 1.
E. none of these

Mathematics

Factor f(x) into linear factors given that k is a zero of f(x).f(x) = x3 - (4 + 2i)x2 + (-5 + 8i)x + 10i; k = 2i

A. f(x) = (x - i)(x + 1)(x - 10) B. f(x) = (x - 2i)(x + 1)(x - 5) C. f(x) = (x - 2i)(x - 1)(x + 5) D. f(x) = (x + 2i)(x - 1)(x - 5)

Mathematics