Rewrite the ratio as a ratio of natural logarithms and simplify.

A.
B.
C.
D.


Answer: D

Mathematics

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Evaluate the line integral of f(x,y) along the curve C.f(x, y) = y + x, C: x2 + y2 = 16 in the first quadrant from (4, 0) to (0, 4)

A. 0 B. 16 C. 32 D. 64

Mathematics

Determine whether the geometric series converges or diverges. If it converges, find its sum.

Mathematics

Find the approximate change in z when the point  changes from  to .

?
; from  to 
?

A. ?
B. ?
C. ?
D. ?
E.

Mathematics

Write a numerical expression for the phrase and simplify it.8 less than the difference between 20 and -3

A. 3 - 20 - 8; -31 B. [20 - (-3)] - 8; 15 C. -3 - 20 - 8; -31 D. 8 - 20 - (-3); -9

Mathematics