91Ó°ÊÓ

Evaluating Inverse Trigonometric Functions In Exercises \(7-14\) , evaluate the expression without using a calculator. $$\arcsin \frac{1}{2}$$

Solving an Exponential or Logarithmic Equation In Exercises \(3-18,\) solve for \(x\) accurate to three decimal places. $$9-2 e^{x}=7$$

Exercises \(5-8,\) use a graphing utility to evaluate the logarithm by (a) using the natural logarithm key and (b) using the integration capabilities to evaluate the integral \(\int_{1}^{x}(1 / t) d t\) $$\ln 0.8$$

In Exercises \(5-28\) , find the indefinite integral. $$\int \frac{1}{2 x+5} d x$$

In Exercises \(5-10\) evaluate the expression without using a calculator. $$\log _{7} 1$$

In Exercises 3-22, find the indefinite integral. $$\int \frac{1}{\sqrt{1-(x+1)^{2}}} d x$$

Using Two Methods In Exercises \(7-14\) , evaluate the limit (a) using techniques from Chapters 1 and 3 and (b) using L'Hopital's Rule. $$\lim _{x \rightarrow 4} \frac{3(x-4)}{x^{2}-16}$$

In Exercises 3-22, find the indefinite integral. $$\int \frac{7}{4+(3-x)^{2}} d x$$

Exercises \(5-8,\) use a graphing utility to evaluate the logarithm by (a) using the natural logarithm key and (b) using the integration capabilities to evaluate the integral \(\int_{1}^{x}(1 / t) d t\) $$\ln 0.6$$

Using Two Methods In Exercises \(7-14\) , evaluate the limit (a) using techniques from Chapters 1 and 3 and (b) using L'Hopital's Rule. $$\lim _{x \rightarrow-4} \frac{2 x^{2}+13 x+20}{x+4}$$