Chapter 1: Q7E (page 7)
3-16 A function is given by a table of values, a graph, a formula, or a verbal description. Determine whether it is one-to-one.
The function is one-to-one.
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65-70 Find a formula for the described function and state its domain.
66. A rectangle has area 16\({{\mathop{\rm m}\nolimits} ^2}\). Express the perimeter of the rectangle as a function of the length of one of its sides.
7-14 Determine whether the equation or table defines y as a function of x.
\({\bf{3}}x - {\bf{5}}y = {\bf{7}}\)
Step 1:Use the formula for string factorial
Question:
(a) Approximate f by a Taylor polynomial with degree n at the number a.
(b) Use Taylor's Formula to estimate the accuracy of the approximation \[f(x) \approx {T_n}(x)\] when x lies in the given interval.
(c) Check your result in part (b) by graphing \[\left| {{{\rm{R}}_{\rm{n}}}{\rm{(x)}}} \right|\]
\[f(x) = \sin x,\;\;\;a = \frac{\pi }{6},\;\;\;n = 4,\;\;\;0 \le x \le \frac{\pi }{3}\]
79-80 the graph of a function defined for \(x \ge 0\) is given. Complete the graph for \(x < 0\) to make (a) an even function and (b) an odd function.
80.
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