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Problem 23

Finding Intercepts In Exercises \(19-28,\) find any intercepts. \(y=x \sqrt{16-x^{2}}\)

Problem 23

Evaluating Trigonometric Functions In Exerrises \(21-24\) , evaluate the sine, cosine, and tangent of each angle. Do not use a calculator. $$\begin{array}{ll}{\text { (a) } 225^{\circ}} & {\text { (b) }-225^{\circ}} & {\text { (c) } \frac{5 \pi}{3}} & {\text { (d) } \frac{11 \pi}{6}}\end{array}$$

Problem 23

Finding the Domain of a Function In Exercises \(23-26\) find the domain of the function. $$f(x)=\sqrt{x}+\sqrt{1-x}$$

Problem 24

Evaluating Trigonometric Functions In Exerrises \(21-24\) , evaluate the sine, cosine, and tangent of each angle. Do not use a calculator. $$\begin{array}{ll}{\text { (a) } 750^{\circ}} & {\text { (b) } 510^{\circ}} & {\text { (c) } \frac{10 \pi}{3}} & {\text { (d) } \frac{17 \pi}{3}}\end{array}$$

Problem 24

Finding an Equation of a line In Exercises \(19-24,\) find an equation of the line that passes through the point and has the indicated slope. Then sketch the line. \((-2,4) \quad m=-\frac{3}{5}\)

Problem 24

Finding Intercepts In Exercises \(19-28,\) find any intercepts. \(y=(x-1) \sqrt{x^{2}+1}\)

Problem 24

Finding the Domain of a Function In Exercises \(23-26\) find the domain of the function. \(f(x)=\sqrt{x^{2}-3 x+2}\)

Problem 25

Finding Intercepts In Exercises \(19-28,\) find any intercepts. \(y=\frac{2-\sqrt{x}}{5 x+1}\)

Problem 25

Finding the Domain of a Function In Exercises \(23-26\) find the domain of the function. \(f(x)=\frac{1}{|x+3|}\)

Problem 25

Road Grade You are driving on a road that has a 6\(\%\) uphill grade. This means that the slope of the road is \(\frac{6}{100}\) . Approximate the amount of vertical change in your position when you drive 200 feet.

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