Evaluate the following integral $$\int\frac{3x+11}{x^2-x-6}~dx$$ Type your answer into the box below and be sure to upload your work to the “Upload Quiz 1 Work” assignment afterwards.

Nurses could use self-disclosure in situations that could therapeutically benefit the patient.

Determine the order and linearity of the following differential equations. 1.   Order: [o1] Linearity: [l1] 2.   Order: [o2] Linearity: [l2]

Let \(f(x,y)=y^{4/5}\). Find the derivative \(\displaystyle\frac{\partial f}{\partial y}\). Type your answer into the box below and be sure to upload your work to the “Upload Quiz 1 Work” assignment afterwards.

Show that \(y=c_1\cos x+c_2 \sin x\) is a two-parameter family of solutions for the differential equation \(y”+y=0\). Find a solution of the initial value problem consisting of this differential equation and the initial conditions \(y(0) = -1\) and \(y'(0) = 4\). Type your answer into the box below and be sure to upload your work to the “Upload Quiz 1 Work” assignment afterwards.

Determine a region of the \(xy\)-plane for which the given differential equation would have a unique solution whose graph passes through a point \( (x_0, y_0) \) in the region.

A patient who is eliminating a drug more slowly than normal will need ________________ doses than will patients who are eliminating the drug normally. 

A prescription of warfarin, a highly protein-bound medication, is ordered for an elderly patient. If the patient returns to the clinic with low albumin levels, the prescriber would expect to: 

Match the term with the appropriate description:

Who authorizes nurse practitioner prescriptive authority in Indiana?