Find the area under the curve over the indicated interval.

y = 2/x; [1,4]


2ln 4, or 4ln 2

Mathematics

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Use logarithmic differentiation to find the derivative of y with respect to the independent variable.y = 7t

A.
B.
C.  
D. 7t

Mathematics

Provide an appropriate response.The formula for finding simple interest is I = PRT, where I is the amount of interest charged, P is the principal amount borrowed, R is the percent of interest charged, and T is the length of time of the loan. If the interest is $315, the rate is 7.2% and the time is 1 years, how much money was borrowed?

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

Mathematics

Solve the polynomial inequality. Express the solution in interval notation.(x + 4)(x - 4)(x - 5) > 0

A. (-?, -4) ? (4, 5) B. (5, ?) C. (-?, 4) D. (-4, 4) ? (5, ?)

Mathematics

Solve the problem.From 10 names on a ballot, a committee of 3 will be elected to attend a political national convention. How many different committees are possible?

A. 604,800 B. 120 C. 360 D. 720

Mathematics