Two muscles in the back of the leg pull upward on the Achilles tendon, as shown in given figure. (These muscles are called the medial and lateral heads of the gastrocnemius muscle.) Find the magnitude and direction of the total force on the Achilles tendon. What type of movement could be caused by this force?

Refer to Exercise mentioned.

(a) Suppose a 200-lb person bends at the waist so that $\theta=45^{\circ}$. Calculate the force, to the nearest pound, exerted on the person's back muscles.

(b) Approximate graphically the value of $\theta$, to the nearest tenth, that results in the back muscles of a 200lb person exerting a force of 400lb.

For the circuit in Fig. , assuming all transistors to be identical with $\beta$ infinite, derive an expression for the output current $I_o$, and show that by selecting

$$R_1=R_2$$

and keeping the current in each junction the same, the current $I_o$ will be

$$I_O=\frac{V_{C C}}{2 R_E}$$

which is independent of $V_{B E}$. What must the relationship of $R_E$ to $R_1$ and $R_2$ be? For $V_{C C}=10 \mathrm{~V}$ and $V_{B E}=0.7 \mathrm{~V}$, design the circuit to obtain an output current of $0.5 \mathrm{~mA}$. What is the lowest voltage that can be applied to the collector of $Q_3$ ?

Which cellular junction will prevent acidic stomach fluid from seeping into the connective tissue?

a. Find $\int \frac{1}{x+2} d x-\int \frac{2}{x-1} d x.$ b. Hence find $\int \frac{x+5}{(x+2)(x-1)} d x$

Write as many classroom items as you can think of associated with each command below MODELE : prenez : livres cahiers feuille de papier

Fermez

¿Quién hace estos quehaceres, Odilia o Andrés? (Hint: Who does each thing?)

1. Ayuda a su papá y su abuelo en los campos.

2. Les da de comer a las gallinas y recoge los huevos.

3. Trabaja en la huerta.

4. Cuida los caballos y las vacas.

5. Cuida las alpacas y las llamas.

Write as many classroom items as you can think of associated with each command below MODELE : prenez : livres cahiers feuille de papier

asseyez - vous

Revise each of the following run-ons by using one of the methods you have learned. Use each of the four methods at least once.

Exercise can increase the efficiency of your muscles, it can increase your muscles'strength and size.

For $n \in Z+, n \geq 2,$ prove that for any statements p1, p2, … , pn, $a) \neg(p 1 \vee p 2 \vee \ldots \vee p n) \Leftrightarrow \neg p 1 \wedge \neg p 2 \wedge \ldots \wedge \neg p n.$ $b) \neg(p 1 \wedge p 2 \wedge \ldots \wedge p n) \Leftrightarrow. \neg p 1 \vee . p 2 \vee \ldots \vee \neg p n$

Compound A below represents a structural intermediate in the synthesis of ingenol. Ingenol has interesting biological activity and represents the core structure for a topical skin medication used to treat precancerous skin lesions. What reaction outlined in this chapter could be used to form the seven-membered ring containing the unsaturated ketone in Compound A? What was the starting material? Note that the PMB group represents P-methoxybenzyl and is an alcohol protecting group.

Which of the following family members should you refer to individual therapy rather than family therapy?

a. A mother who has anxiety controlled by medication.

b. A father who is questioning his sexuality.

c. A son who is verbally abusive toward his parents.

d. A daughter who has been treated for alcohol use.

Graph each line. $5 x+18 y=6$

The following account balances are taken from the records of Laugherty Inc. at December 31, 2017. The Supplies account represents the cost of supplies on hand at the beginning of the year plus all purchases. A physical count on December 31, 2017, shows only $1,520 of supplies on hand. The Deferred Revenue account represents the cash received from a customer on May 1, 2017, for 12 months of service beginning on that date. The Note Payable represents a six-month promissory note signed with a supplier on September 1, 2017. Principal and interest at an annual rate of 10% will be paid on March 1, 2018.

$$\begin{array}{lr} \text { Supplies } & \$ 5,790 \\ \text { Deferred Revenue } & 1,800 \\ \text { Note Payable } & 60,000 \end{array}$$

Required

1. Identify and analyze the adjustments necessary on the books of Laugherty on December 31 , 2017. Assume that Laugherty prepares adjustments only once a year, on December 31 .
2. Assume that adjustments are made at the end of each month rather than only at the end of the year. What would be the balance in Deferred Revenue before the December adjustment was made? Explain your answer.