A function f(x), a point x0, the limit of f(x) as x approaches x0, and a positive number ? is given. Find a number  such that for all x, 0 <  < ? ?  < ?.f(x) = 9x + 3, L = 21, x0 = 2, and ? = 0.01

A. 0.005
B. 0.005556
C. 0.001111
D. 0.002222


Answer: C

Mathematics

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Between the ages of 7 and 11 years, the weight w, in pounds, of a certain girl is given by the formula

,
where t is her age in years.  During the same age range the relationship between her age t and her height h, in inches, is given by
.
A:  Find a formula that expresses the girl's height as a function of her weight. Write your answer in the form , and round the coefficient a of w to two decimal places.B:  Use your answer to part A to determine her height when her weight is 6 pounds.C:  Use your answer to part A to find a formula that expresses the girl's weight as a function of her height.

What will be an ideal response?

Mathematics

Find the average value of the function f over the region R.f(x, y) = e5xR: 0 ? x ? , 0 ? y ? 

A.
B. 2e - 1
C. e - 1
D.

Mathematics

Sketch the graph of the polynomial function.f(x) = (x - 4)4

A.

B.

C.

D.

Mathematics

Write an equation for a function that has a graph with the given characteristics.The shape of y =  is shifted 7.9 units to the left. This graph is then vertically stretched by a factor of 1.9. Finally, the graph is reflected across the x-axis.

A. f(x) = -1.9
B. f(x) = -7.9
C. f(x) = -1.9
D. f(x) = 1.9

Mathematics