Two workers carry a uniform $15.0$-ft plank that weighs $22.0 \mathrm{lb}$. A load of blocks weighing $165\ \mathrm{lb}$ is located $7.00\ \mathrm{ft}$ from the first worker. How much force does each employee need to use to lift the board and load?

Say what object (dishes, silverware, condiments, etc.) you need to eat or drink the following thing.

• un coca

A 1000-kg load is being moved by a crane. Find the tension in the cable that supports the load as $(a)$ it moves upward with a speed increasing by $2 \mathrm{~m} / \mathrm{s}$ each second, $(b)$ it is lifted at constant speed, and $(c)$ it moves upward with speed decreasing by $2 \mathrm{~m} / \mathrm{s}$ each second.

(a)Find a second-order homogeneous linear ODE for which the given functions are solutions. (b)Show linear independence by the Wronskian. (c)Solve the initial value problem.

$$x^{m_1}\text{, }x^{m_2}\text{, }y(1)=-2\text{, }y'(1)=2m_1-4m_2$$

You add a finite number of terms to a convergent series. Will the new series still converge? Explain your reasoning.

The light shining on a diffraction grating has a wavelength of 495 nm (in vacuum). The grating produces a second-order bright fringe whose position is defined by an angle of

$$9.34^\circ.$$

How many lines per centimeter does the grating have?

Show that the positive terms of the alternating harmonic series form a divergent series. Show the same for the negative terms.

Find the transfer function of a second-order bandpass filter for which the center frequency $f_{0}=10 \mathrm{kHz},$ the 3-dB bandwidth is 500 Hz, and the center-frequency gain is 10. Also, give the locations of the poles and zeros.

How many electors does each state get?

How is a theorem different from a postulate?

Use the binomial series to expand the function as a power series. State the radius of convergence.

$$(1-x)^{2 / 3}$$

Consider the first-order decomposition of cyclobutane at $438^{\circ} \mathrm{C}$ at constant volume: $\mathrm{C}_4 \mathrm{H}_8(g) \rightarrow 2 \mathrm{C}_2 \mathrm{H}_4(g)$ a. Express the rate of the reaction in terms of the change in total pressure as a function of time. b. The rate constant for the reaction is $2.48 \times 10^{-4} \mathrm{~s}^{-1}$. What is the half-life? c. After initiation of the reaction, how long will it take for the initial pressure of $\mathrm{C}_4 \mathrm{H}_8$ to drop to $90 \%$ of its initial value?

Complete the sentence in a way that shows you understand the meaning of the italicized vocabulary word.

The devastating hurricane created an acute need for. ..

Use a geometric series or the nth-Term Test to determine the convergence or divergence of the series. $\sum_{n=0}^{\infty} 9^{-n}$