Evaluate the limit with either L’Hoopital’s rule or previously learned methods.

$$\lim _{x \rightarrow 0} \frac{\sqrt{1+x}-\sqrt{1-x}}{x}$$

Calculate the magnitude of the linear momentum for the following cases: a 15.0-g bullet moving with a speed of 300 m/s.

How would you say 'They plan to brush their hair with the brush ' in Spanish?

You are meeting a friend at Fort Myers Airport. According to the Bureau of Transportation Statistics, in 2009 flights into Fort Myers were on time 81.3% of the time, but Southwest had a better record and is on time 84.5% of the time. You cannot remember what airline she is taking but you know that in the past she has flown on Southwest 70% of the time. The plane is late. What is the probability she is on Southwest?

Solve the given initial value problem (differential equation subject to a specified condition. $\frac{d x}{d t}=\frac{\sin (\sqrt{t})}{\sqrt{t}};$ x(0) = -1

Find $\alpha$ and $Z_{0}$ of a distortionless line whose $R^{\prime}=2 \Omega / \mathrm{m}$ and $G^{\prime}=2 \times 10^{-4} \mathrm{S} / \mathrm{m}$.

Rutherford's experiment consisted of beaming positively charged particles at thin gold foil. According to Rutherford, where in an atom are these particles located?

Find the volume of a spherical beach ball wit h a diameter of

Draw angles in standard position such that the terminal side passes through the given point. (-4, -2)

If a system is described by transfer function $h(t)=2u(t)+2n(t-1)$, use the convolution to calculate the output (time domain) if the input is $(a)2u(t); \; (b)2te^{-2t}u(t)$.

Use the root test to show that $\Sigma k^{p} e^{-k}$ converges for any fixed positive real number p. What does this imply about the following improper integral?

$$\int_{1}^{\infty} x^{p} e^{-x} d x$$

How does the textbook's discussion of Anglo-American settlers in the Ohio Valley support or challenge each of the historians' arguments regarding British policy?

The expansion of $(a+b)^3$ has 4 terms. a. How many terms are in the expansion of $(a+b+c)^3$? b. How many terms are in the expansion of $(a+b+c+d)^3$? c. Generalize these results.

Explain when it is necessary to use a table showing z-scores and percentiles rather than the 68–95–99.7 Rule to determine the percentage of data items less than a given data item.