Solve the initial value problem. $y^{\prime \prime}+2 y^{\prime}-3 y=0 ; y(0)=6, y^{\prime}(0)=-2$

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

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

Determine the derivative of the given problem.

$$f(x)=\sqrt{\frac{1}{x^3}}$$

Solve the initial value problem.

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

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 ___________.

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

For the following exercise,

Use the definition of derivative $\lim _{h \rightarrow 0} \frac{f(x+h)-f(x)}{h}$ to calculate the derivative of each function.

$$f(x)=-2 x+1$$

The speed of a car traveling in a straight line is reduced from 45 to 30 miles per hour at a distance of 264 feet. Find the distance in which the car can be brought to rest from 30 miles per hour, assuming the same constant deceleration.

Antes de su conversación con don Manuel, la verdad

• no le preocupaba mucho a Lázaro
• era lo más importante para Lázaro
• dejaba a Lázaro confundido
• era menos importante que la felicidad para Lázaro

Write equilibrium constant expression for the following reaction N$_2$(g) + 3H$_2$ $\rightleftharpoons$ 2NH$_3$(g)

It is 1000 hours in the emergency department (ED) when the ambulance brings in G.G., a 35 -year-old man who is having difficulty breathing. He complains of chest pain, tightness in the chest, dizziness, palpitations, nausea, paresthesia, and feelings of impending doom. He states, "I don't think I'm going to make it. I must be having a heart attack." He is diaphoretic and trembling. His vital signs are 184 / 92,104,28,98.4$^{\circ} \mathrm{F}$ $\left(36.9^{\circ} \mathrm{C}\right.$ ). These symptoms began at work during a meeting at approximately 0920 and became progressively worse. A co-worker called 911 and stayed with him until the first responder arrived. The patient has no apparent history of cardiac problems.

Following the full medical workup, including testing to rule out MI, pulmonary embolism, and thyroid disorders, it is determined that G.G.'s condition is stable. His shortness of breath and anxiety resolve after he is given lorazepam (Ativan) $1 \mathrm{mg}$ IV push (IVP). The lab work and ECG results are all within normal parameters, and there is no evidence of any physical disorder. A diagnosis of a panic attack is made. G.G. admits to having had 3 similar episodes in the past 2 weeks; however, they were not nearly as severe or long-lasting.

G.G. shares with the ED staff that he has been under severe stress at work and home. He tells them he is going through a divorce, he lost a child last summer in a motor vehicle accident, and his company is downsizing. He will probably be out of a job soon. He hasn't been sleeping well for the past couple of months and has lost about 20 pounds (9 kg).

G.G.'s condition is stable and the ED physician discusses what has happened with G.G. The physician provides G.G. a prescription for alprazolam (Xanax) 0.5 mg tid for 1 week and a referral to see his primary care physician for further treatment and evaluation. For each class of medications used to treat panic attacks, what will your patient teaching include?

Use a graphing device to solve the system, rounded to the nearest hundredth.

$$\left\{\begin{array}{l} 2x - 3y + 4z = 3\\ 4x - 5y + 9z = 13\\ 2x + 7z= 0 \end{array}\right.$$

Explain what is wrong with the statement. The differential equation $d P / d t=0.08 P-0.0032 P^{2}$ has one equilibrium solution, at P = 25.