Let f be the function defined by .

Use the differential of f to find the approximate change in y if x changes from 4 to 4.1.

A. 0.06963
B. 0.13926
C. 2.29783
D. 2.78524
E. 0.00870


Answer: A

Mathematics

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Between 1995 and 2005, each year the number of Internet domain hosts was 1.41 times the number of hosts in the preceding year. In 1995 the number of hosts was 8.7 million.

? A: Explain why the number of domain hosts was an exponential function of time over the period from 1995 to 2005.. ? B: Write a formula that gives  the number D, in millions, of domain hosts t years after 1995. ? ? C: Make a graph that shows the growth of domain hosts from 1995 to 2005, that is, for  to . ? D:  According to this model, when did the number of domain hosts reach 23 million? Round your answer to two decimal places. What will be an ideal response?

Mathematics

Solve the equation.(6x - 12) = (16x - 8)

A. -1
B. 1
C. -8
D.  

Mathematics

Solve the inequality. Write the solution set in interval notation.x3 + 4x2 - 16x ? 64

A. (-?, 4] B. [4, ?) C. [-4, 4] D. (-?, -4] ? [4, ?)

Mathematics

Provide an appropriate response.To have a markup of 100% or greater, the markup must be calculated on cost. Show why this is always true.

What will be an ideal response?

Mathematics