Fill in the blank with one of the words or phrases listed below.Replacing a variable in an expression by a number and then finding the value of the expression is called  for the variable.

A. simplified
B. numerical coefficient
C. combined
D. evaluating the expression


Answer: D

Mathematics

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Use the given Taylor polynomial p2 to approximate the given quantity.Approximate e-0.01 using f(x) = e-x and p2(x) = 1 - x + .

A. 0.9904 B. 0.9900 C. 0.9891 D. 0.9908

Mathematics

Provide an appropriate response. A rhombus is a shape that has the same relationship to a parallelogram that a square has to a rectangle. Draw a rhombus and determine a formula that would find the area and the perimeter of a rhombus.

What will be an ideal response?

Mathematics

Is there a number a such that

exists? If so, find the value of a and the value of the limit.
Select the correct answer.
a. a = 15 , limit equals –0.6
b. a = 15 , limit equals 0.6
c. a = –15 , limit equals 0.6
d. a = –15 , limit equals –0.6
e. a = 15 , limit equals 18

Mathematics

Solve the problem.Suppose that the function y = f(x) is increasing on the interval (2, 8). Over what interval is the graph of  increasing?

A. (12, 48) B. (2, 8) C. (-4, 2) D. (8, 14)

Mathematics