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A 95 year old, bed ridden, patient is being cared for at home by the family. The home care nurse discovers that the patient has several stage III pressure sores on the hips, coccyx and heels. What is the best nursing action?

During auscultation of an adult patient’s heart sounds, the nurse hears an irregular heart beat with a rate of 148. What will the nurse do first? 

A mother brings her 8 week old child in for an examination and says, “My daughter rolled over against the wall, and now I have noticed that she has this spot that is soft on the top of her head. I think there is something wrong.” What is the nurse’s best response?

Given P(-2,-2,2) and the plane -x+3y+5z=41, find the point on the plane closest to P. Then find the distance from P to the plane.

Use Lagrange Multipliers to find the extrema of f(x,y)=x2-y2+x+8yf(x,y)=x^2-y^2+x+8y over the constraint 4x+2y+12=04x+2y+12=0.

Let QQ be the solid bounded by the paraboloid z=x2+y2z=x^2+y^2 and z=16z=16 with SS as its boundary surface oriented outward as usual. And let F→=\vec{F}=.a) Set up and simplify, with bounds, but do not evaluate, the integrals ∫S∫F→∙N→ dS\int_S\int{\vec{F}\bullet\vec{N}\ dS}Hint: the flat top of the solid is its own function and requires its own integralb) Use the divergence theorem to set up and evaluate the integral ∫∫Q∫∇∙F→ dV\int\int\limits_Q\int{\nabla\bullet\vec{F}\ dV}

Type your answers in as best you can. Avoid decimals: leave your answers with square roots and/or fractions if applicable. There is a math editor if you click the ⊕\oplus button. Don’t forget to upload your work through the provided link in blackboard or via email, even if you show it here to your recording, because that’s how I will be grading your exams.

Evaluate 45∫033 ∫x33x1+y3 dydx45\int_0^{\sqrt[3]{3}}\ \int_x^{\sqrt[3]{3}}{x\sqrt{1+y^3}\ dydx} by switching the order of integration.

Module 11 – ADH A patient has a condition that prevents their collecting ducts from responding to antidiuretic hormone (ADH). As a result, the permeability of the collecting duct to water does not change. Under normal conditions, how does ADH affect water permeability in the collecting duct? (4 points) If the collecting duct is always impermeable to water, what effect would this have on urine volume and concentration? (2 points) What might happen if the collecting duct were always permeable to water, regardless of the body’s hydration status? (2 points)

A drug blocks ATP production in renal tubule cells. What effect would this most likely have on reabsorption in the proximal tubule?