Provide an appropriate response.Plot the functions u(x) = 
, l(x) = -
, and f(x) = (1 - cos x)/x. Then use these graphs along with the Squeeze Theorem to prove that 
f(x) = 0.
What will be an ideal response?
From the graph, it can be seen that the graph of f(x) = (1 - cos x)/x is between the graphs of l(x) = -
and u(x) = 
. Also 
= 0 and 
(-
) = 0. Since the graph of f(x) = (1 - cos x)/x is squeezed between the graphs of 
and u(x) = 
, both of which go to 0 as x?0, by the Squeeze Theorem we can conclude that 
f(x) = 0 .
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Use a grapher to find the vertex, rounding to the nearest hundredth when necessary.f(x) = -5x2 - 4x + 5
A. (0.4, 5.8) B. (2, 5.8) C. (-0.4, 5.8) D. (-0.4, 4.2)
Solve.A company that manufactures hospital beds has fixed monthly costs of $240,000. The average cost per bed, C, for the company to manufacture x beds per month is modeled by the formula C = 
How many hospital beds can be manufactured per month at an average cost of $850?
A. 800 beds B. 900 beds C. 950 beds D. 675 beds
Factor, if possible.d3 + 216
A. (d + 6)(d2 - 6d + 36) B. (d + 6)(d2 - 6d - 36) C. (d + 6)(d2 + 36) D. (d + 6)(d2 + 6d + 36)
Evaluate the integral using integration by parts with the indicated choices of u and dv.
