Solve the initial-value problem. $y^{\prime \prime}-2 y^{\prime}-3 y=0, \ y(0)=2, \ y^{\prime}(0)=2$

Solve the initial value problem.

$$y ^ { \prime \prime } - 2 y ^ { \prime } + 2 y = x + 1 ; y ( 0 ) = 3 , y ^ { \prime } ( 0 ) = 0$$

Choose the correct answer: $\frac{d}{d x} \ln f(x)=$ a. $\frac{f(x)}{f^{\prime}(x)}$ b. $\frac{f^{\prime}(x)}{f(x)}$ c. $\frac{f^{\prime}(x)}{f^{\prime}(x)}$

Solve the initial value problem. $y^{\prime \prime}-2 y^{\prime}+5 y=0, y(0)=2, y^{\prime}(0)=0$

To __________ a value means to increase it by one.

Solve the given initial-value problem. $y^{\prime \prime}+x y^{\prime}+2 y=0, y(0)=3, y^{\prime}(0)=-2$

Give the word derived from Greek or Latin elements that matches given of the following. Verify your answer in a medical dictionary. Note that the wording of a dictionary definition may vary from the wording below.
Pain in a lacrimal gland __________________

A $0.35\ \text{kg}$ mass at the end of a spring oscillates $2.5$ times per second with an amplitude of $0.15\ \text{m}$. Determine

(a) the velocity when it passes the equilibrium point,

(b). the velocity when it is $0.10\ \text{m}$ from equilibrium,

(c). the total energy of the system, and

(d). the equation $x(t)$ describing the motion of the mass, assuming that at $t=0$, $x(t)$ was a maximum.

J.D., age 45, noticed a red spot on his calf after a day of yard work. It did not bother him at first, and he thought it may have been a spider bite. The next morning, he noticed that the spot had grown to the size of a nickel, and it was hardened and very painful. His wife asked him to get it checked, but he said he could take care of it, and tried to pierce it with a pocketknife he had sterilized with a match in an attempt to drain it. Nothing came out when he tried this, so he put some antibacterial ointment over it and covered it with a bandage. Two days later, he realized that the wound was draining yellowish fluid, and the skin around the wound was red and tender. He decides to see his healthcare provider (HCP), who told J.D. that he had developed cellulitis around the wound, which was infected.

J.D. is sent home with a prescription for doxycycline capsules. Two days later, the results from the cultures are reported to the HCP. J.D. is asked to go to the hospital for treatment for an MRSA infection.

Wound Culture and Sensitivity Report:

$$\begin{array}{ll}\text { Staphylococcus aureus (MRSA) } & \geq \mathbf{1 0 0 , 0 0 0} \text { colonies } \\ \text { Amoxicillin } & \mathrm{R} \\ \text { Ceftriaxone } & \mathrm{R} \\ \text { Ciprofloxacin } & \mathrm{R} \\ \text { Clindamycin } & \mathrm{R} \\ \text { Doxycycline } & \mathrm{R} \\ \text { Levofloxacin } & \mathrm{R} \\ \text { Linezolid } & \mathrm{S} \\ \text { Trimethoprim-sulfa } & \mathrm{R} \\ \text { Vancomycin } & \mathrm{R}\end{array}$$

Anaerobic Culture:

No growth after 2 days

Contact Precautions are implemented. In addition to intravenous linezolid antibiotic treatment, the HCP performs an incision and drainage procedure. Wound care is ordered every 12 hours with sterile normal saline wet-to-dry dressings. Which nursing actions are appropriate to delegate to the UAP? Select all that apply.

a. Taking vital signs b. Assessment of the wound c. Obtaining a wound culture d. Teaching about wound care e. Changing the sterile dressing f. Maintaining contact precautions

Según el jaguar, ¿cómo era la canción del grillo?

J.H., a 53-year-old man, comes to the primary care provider's office for his annual physical. He has a history of familial hypercholesteremia for which he takes atorvastatin. His only other medication is a once-daily, low-dose aspirin. During the initial intake, he tells you his greatest concern is that he cannot get an erection. He states, "my wife and I have only had sex a few times in the past 6 months!"

J.H. says the quality of his erections and the ability to keep an erection has been worsening over the past year. When he does have an erection sufficient for intercourse, he says it is less firm but ejaculatory function and sensations are normal. There are no morning or nocturnal erections. He denies any problems with libido or a history of trauma, STIs, or UTIs.

J.H. is $6 \mathrm{ft}, 3$ in $(190.5 \mathrm{~cm})$ and weighs $250 \mathrm{lb}(113 \mathrm{~kg})$. His physical assessment is otherwise unremarkable. He has a normal, circumcised penis without any discharge or lesions. His testes are bilaterally descended, with normal size and texture. Perianal sensations are intact. The digital rectal exam completed by the provider shows no prostate enlargement or nodules. His femoral and pedal pulses are all $2+$. His VS are $140 / 80,90,16,97.7^{\circ} \mathrm{F}\left(36.5^{\circ} \mathrm{C}\right)$.

Laboratory Test Results (Fasting):

$$\begin{array}{ll}\text { Total cholesterol } & 189 \mathrm{mg} / \mathrm{dL}(4.9 \mathrm{mmol} / \mathrm{L}) \\ \text { HDL } & 28 \mathrm{mg} / \mathrm{dL}(0.7 \mathrm{mmol} / \mathrm{L}) \\ \text { LDL } & 112 \mathrm{mg} / \mathrm{dL}(2.9 \mathrm{mmol} / \mathrm{L}) \\ \text { Triglycerides } & 270 \mathrm{mg} / \mathrm{dL}(3.1 \mathrm{mmol} / \mathrm{L}) \\ \text { Glucose } & 108 \mathrm{mg} / \mathrm{dL}(6.0 \mathrm{mmol} / \mathrm{L}) \\ \text { Total testosterone } & 673 \mathrm{ng} / \mathrm{dL}(23.3 \mathrm{nmol} / \mathrm{L}) \\ \text { TSH } & 1.04 \mathrm{mU} / \mathrm{L}\end{array}$$

A teaching plan for J.H. should include which intervention? Give your rationale.

a. Removing all sugars from his diet b. Exploring lower stress career options c. Following a liquid meal replacement diet d. Exercising 60 minutes, 4 to 5 times per week

Leamos/Escribamos El señor Calderón cree que todo era mejor en su época. Termina sus quejas con una descripción de cómo era su vida cuando era joven. Usa el articulo si es necesario.

Ya no se puede caminar por las calles de noche. Antes eran menos ___________.

Consider the following gas-phase reaction:

$$2 \mathrm{~A}(g)+\mathrm{B}(g) \rightleftharpoons \mathrm{C}(g)+\mathrm{D}(g)$$

An equilibrium mixture of reactants and products is subjected to the following changes:
(a) A decrease in volume
(b) An increase in temperature
(c) Addition of reactants
(d) Addition of a catalyst
(e) Addition of an inert gas

Which of these changes affect the composition of the equilibrium mixture but leave the value of the equilibrium constant $K_{\mathrm{c}}$ unchanged? Which of the changes affect the value of $K_{\mathrm{c}}$ ? Which affect neither the composition of the equilibrium mixture nor $K_{\mathrm{c}}$ ?

In this task, Evaluate the limit, using $\text{L'H}\^{\text{o}}\text{pital's Rule}$ if necessary.

$$\lim\limits _{x \rightarrow 0^{+}}\left(\dfrac{10}{x}-\dfrac{3}{x^2}\right)$$