Provide an appropriate response.Find the sum of the series by expressing as a geometric series, differentiating both sides of the resulting equation with respect to x, multiplying both sides by x, differentiating again, and replacing x by .

A.
B.
C.
D.


Answer: D

Mathematics

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Find the largest open interval where the function is changing as requested.Increasing y = 7x - 5

A. (-5, 7) B. (-?, ?) C. (-5, ?) D. (-?, 7)

Mathematics

Find the focus and directrix of the parabola with the given equation.x2 = 5y

A. Focus: (0, 5), directrix: y = - 5
B. Focus: , directrix: y = - 
C. Focus: , directrix: x = - 
D. Focus: , directrix: y = 

Mathematics

Let A, B, and C be subsets of the universal set U. Draw a Venn diagram and use the data given below to label the number of elements in each basic region.n(A') = 29, n(A ? B) = 28, n(B) = 16, n(C) = 20, n(A ? B) = 8, n(B ? C) = 9.

What will be an ideal response?

Mathematics

The table shows the fraction of the world's surface land area taken up by each continent. Use the table to answer the question. Write your answer in simplest form.  Continent Fraction of World's Surface Land Area  North America    South America    Europe    Africa    Asia  

src="https://sciemce.com/media/4/ppg__rrrr0707191107__f1q229g5.jpg" style="vertical-align: -17.0px;" />  Australia    Antarctica  How much greater is the fractional part of the continent of Asia than the fractional part of the continent of North America?

A.
B.
C.
D.

Mathematics