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?
a).
Solid line: f(x); dashed line: f'(x)
b). See figure above. f'(x) = 0 at x = 0.45 and x = 2.7650.
Critical points of f(x) are 
and 
.
c). f'(x) is undefined at the endpoint x = 0.
d). Endpoints are (0, 0) and (2?, 3.2984).
e). Absolute minimum: (0, 0); absolute maximum (2?, 3.2984).
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Using synthetic division, determine whether the numbers are zeros of the polynomial.-5, 0; f(x) = 2x4 + 8x3 - 8x2 + 7x - 15
A. No; yes B. Yes; yes C. No; no D. Yes; no
Solve the problem.Find a unit vector perpendicular to both 7i + 5k and 3k.
A. k B. 21j C. j D. i
Find the limit.
(1 - cot x)
A. -? B. ? C. 0 D. Does not exist
The amount F, in pounds, of food a certain grazing animal will consume in a day depends on the amount V, in pounds per acre, of vegetation present. These variables satisfy the equation of change
?
.
A: Explain in practical terms the meaning of 
.B: Make a graph of 
versus F. Include consumption levels up to 3 pounds.C: What is the most this animal will consume no matter how much vegetation is present?
What will be an ideal response?