Perform the indicated operations. Express the answer as a single polynomial in standard form.(x - 11)(x2 + 4x - 7)
A. x3 + 15x2 + 51x + 77
B. x3 + 15x2 + 37x - 77
C. x3 - 7x2 - 37x - 77
D. x3 - 7x2 - 51x + 77
Answer: D
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Find the first four terms of the binomial series for the given function.
3
A. 1 - 
x + 
x2 - 
x3
B. 1 - 
x + 
x2 - 
x3
C. 1 + 
x + 
x2 + 
x3
D. 1 + 
x + 
x2 + 
x3
Answer the problem.Use the following function and a graphing calculator to answer the questions.f(x) = 
+ 0.9 sin x, [0, 2?]a). Plot the function over the interval to see its general behavior there. Sketch the graph below.
b). Find the interior points where f' = 0 (you may need to use the numerical equation solver to approximate a solution). You may wish to plot f' as well. List the points as ordered pairs (x, y).c). Find the interior points where f' does not exist. List the points as ordered pairs (x, y).d). Evaluate the function at the
endpoints and list these points as ordered pairs (x, y).e). Find the function's absolute extreme values on the interval and identify where they occur. What will be an ideal response?
Solve the differential equation.y ' + y tan x = cos x, -?/2 < x < ?/2
A. y = x sin x + c sin x, -?/2 < x < ?/2 B. y = x sin x + c cos x, -?/2 < x < ?/2 C. y = x cos x + c sin x, -?/2 < x < ?/2 D. y = x cos x + c cos x, -?/2 < x < ?/2
Find the mean of the set of data. Round your answer to the nearest tenth.0, 2, 3, 9, 9, 2, 3, 0, 0, 9, 2, 2
A. 3.4 B. 4.6 C. 4.4 D. 3.7