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Question: Use the Mean Value theorem to prove: if f is differentiable on R such that
f (0) = (a+2), a ≥ 0 and | f (x) | ≤ 2 for all x ε R, then | f (x) |≤ 2(| x | +1) + a for all x R
Let θ be the angle that the line through the radar station and the plane makes with the horizontal. How fast is θ changing 12 min after the plane passes over the radar station?
if a plane can travel 470 mph with the wind and 390 mph against the wind, find the speed of the plane in still air.
Let R be the set of all real numbers of the form a + b √3, where a and b are rational numbers. Show that every nonzero element of R has a multiplicative inverse and use the result of exercise 27 in Section 8.4 to conclude that R is a field.
If the solution to an equation is imaginary or irrational, it takes a bit more effort to check. Replace x by each given number to verify the following statement.
Mathematicians have been searching for a formula that yeilds prime numbers. One such formula was x^2-x+41. Select some numbers for x, substitute them in the formula
If you cannot, explain why. A survey of adults found that 54% have used a multivitamin in the past 12 months. You randonly select 60 adults and ask them if they have used a multivitamin in the past 12 months.
in automobile manufacturer has determined that 30 of all gas tanks that were installed on its 2002 compact model are
determine the roots of the simultaneous nonlinear equations x-42 y-42 5 x2 y2 16. use a graphical approach to
jared and cody went on a backpacking trip for 3 days. they brought 2 boxes of spaghetti. each box weighed 16 oz. they
Kendall Corners Inc. recently reported net income of $3.1 million and depreciation of $500,000. What was its net cash flow? Assume it had no amortization expense.
for the past three years the manager of the math shoppe has observed that the stores revenue reaches a high of about $40,000 each december and a low of about 10,000 each june. a graph of the revenue over this three year period seems to indicate a ..
Which of the following is not a source of technological advancement for a producer? better trained workers, more efficient physical capital, higher skill level of managers or outsourcing some aspect of production
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