Evaluate.Find (fg)(2) when f(x) = x - 5 and g(x) = -5x2 + 10x + 7.

A. -21
B. 49
C. -93
D. -91


Answer: A

Mathematics

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Find the first three nonzero terms of the Taylor expansion for the given function and value of a.ln x (a = 2)

A. 1 +  (x - 2) - (x - 2) 2 + ...
B. ln 2 + (x - 2) - (x - 2) 2 + ...
C. ln 2 - (x - 2) + (x - 2) 2 - ...
D. (x - 2) - (x - 2) 2 + (x - 2) 3 - ...

Mathematics

Find the x-intercepts of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. f(x) = 7x2 - x3

A. 0, touches the x-axis and turns around;
, crosses the x-axis;
-, crosses the x-axis
B. 0, crosses the x-axis;
, crosses the x-axis;
-, crosses the x-axis
C. 0, touches the x-axis and turns around;
7, touches the x-axis and turns around
D. 0, touches the x-axis and turns around;
7, crosses the x-axis

Mathematics

Decide whether the situation involves permutations or combinations.A blend of 2 spices taken from 8 spices on a spice rack.

A. Permutation B. Combination

Mathematics

?Sketch the graph of the function . ?

A. ?


B. ?


C. ?


D. ?


E. ?


Mathematics