Solve the exponential equation. Express the solution set in terms of natural logarithms. = -1

Fill in the blank(s) with the appropriate word(s).


{ln (-1 + sqrt(2))}

Mathematics

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Integrate the function. dx

A.  ln   +    +    + C
B.  ln   +    + C
C.  ln   -    + C
D.  ln   +    + sin-1  + C

Mathematics

L'Hopital's rule does not help with the given limit. Find the limit some other way.

A. ? B. 0 C. -1 D. 1

Mathematics

A couple is planning to have four children. Suppose that for this couple the probability of a boy is 46% and the probability of a girl is 54%. (Assume the gender of each child is independent from that of the other children.)What is the probability that they will have four boys?

A. 0.46 + 0.46 + 0.46 + 0.46
B. 0.464
C. 0.463 × 0.54
D.
E. none of these

Mathematics

Arrange the polynomial in descending powers of the variable. Then find its degree and leading coefficient.7x - 8x5 - 1

A. 7x - 8x5 - 1, degree 6, leading coefficient: 7 B. -8x5 + 7x - 1, degree: 6, leading coefficient: -8 C. 7x - 8x5 - 1, degree 7, leading coefficient: 7 D. -8x5 + 7x - 1, degree: 5, leading coefficient: -8

Mathematics