A rectangle is to be inscribed in the ellipse (xb)^2+y^2=1, where b>0 is an unknown real number.

What should the dimensions of the rectangle be (in terms of b) to maximize its area? What is the maximum area (again, in terms of b)?

1:Find the convolution output volume size of layer 2 (W2xH2xD2) and 3 (W3xH3xD3)

2: Find the convolution output volume size of layer 2 (W2xH2xD2) and 3 (W3xH3xD3)

3: Find the output volume size of output pooling layer (W2xH2xD2)

1) Using matplotlib, graph the line of slope -2 going through the point (1,1).

2) Instead of graphing the previous line, plot 5 evenly-spaced points on that line in the interval [0,1] (including 0 and 1).

1.  For the function P(x) = 4x^2 - 16 / x^2 -5x

find the

a) List X Intercept(s) if any
b) List Y Intercept(s) if any
c) List Horizontal Asymptote(s) if any
d) List Vertical Asymptote(s) if any
e) Domain

2. precalculus

1. If drug X has a half-life (T1/2) of 2 days (48 hours) and the concentration at 12:00 today was 10 μg/mL, what would the expected concentration of drug X be at 12:00 tomorrow?

a. 7 μg/mL

b. 7.5 μg/mL

c. 5 μg/mL

d. 3.5 μg/mL

2. If a drug is administered orally, which of the following would affect the efficiency of its absorption in the gastrointestinal tract?

a. Dissociation of the drug from its administered form

b. The drug's solubility in gastrointestinal fluid

c. Diffusion of the drug across gastrointestinal membranes

d. All of the above

3. If a trough specimen is required for therapeutic drug monitoring, the most appropriate time to collect the specimen would be:

a. Eight hours after the last dose was given

b. Three days after the dose was administered

c. Immediately after the dose is administered

d. Immediately before the next dose is given

4. Which of the following statements concerning procainamide is TRUE?

a. Procainamide should be administered intravenously due to poor absorption.

b. Procainamide is an antibiotic used to treat gram-positive bacterial infections.

c. Procainamide is metabolized into an active metabolite with similar antiarrhythmic activity.

d. Procainamide is eliminated entirely through renal filtration.

5. Which of the following statements concerning lithium is TRUE?

a. Lithium is used to treat depression, self-mutilating behavior, and bipolar disorder.

b. Lithium toxicity has been associated with ototoxicity and nephrotoxicity.

c. Lithium is completely metabolized in the liver with no renal elimination.

d. Lithium is used in conjunction with cyclosporine to prevent transplant rejection.

6. Which of the following is the primary purpose for measuring serum concentrations of methotrexate?

a. To determine the optimum dosage for oral administration of methotrexate

b. To ensure that serum concentrations are within the therapeutic range

c. To confirm serum concentrations when toxicity is suspected

d. To determine the amount of leucovorin needed to halt methotrexate action

7. Primidone is an inactive preform of which of the following antiepileptic drugs?

a. Gabapentin

b. Clozapine

c. Phenobarbital

d. Ethosuximide

8. Bilirubin competes with some drugs for the same binding site on plasma proteins. What effect would an increased concentration of bilirubin in the blood (bilirubinemia) have on the potential activity of this drug?

a. The fraction of bound drug would increase thereby increasing potential activity.

b. The fraction of bound drug would decrease thereby decreasing potential activity.

c. The fraction of bound drug would decrease thereby increasing potential activity.

d. The fraction of bound drug would increase thereby decreasing potential activity.

9. Twenty milligrams (mg) of drug Y is injected intravenously. One hour after the injection, blood is collected and assayed for the concentration of drug Y. If the concentration of drug Y in this specimen was 0.4 mg/L, what is the volume of distribution for this drug?

a. 0.8 L

b. 8 L

c. 20 L

d. 50 L

No Explanation needed

1. Determine the equilibrium constant for the following reaction at (3.950x10^2) K.

2 A(g) + B2(g) → 2 AB(s)     ΔH° = -(2.2x10^2) kJ; ΔS° = -(3.988x10^2) J/K

2.

A⁺ (aq) + BC₃^- (aq) à A(BC₃)(s) ΔH° f = -64.4 kJ/mol

For the above reaction ΔSsys is ________(positive or negative), and ΔG is __________ (positive or negative) and the reaction is _______________ (spontaneous or nonspontaneous) at 600K  

3.

Which of the following pairs of reactants will result in a spontaneous reaction at 25°C. (select all that are spontaneous)

Find the critical​ values, chi Subscript 1 minus alpha divided by 2 Superscript 2 and chi Subscript alpha divided by 2 Superscript 2​, for​ 95% confidence and nequals12. Round to the nearest thousandth.

Find the general solution of y'' + 2(sech^2 t)y = 0 (1), given that y1 = tanh t is a solution to (1)

Consider the region bounded by cos(x2) and the x−axis for 0 ≤ x ≤ ?(π/2)^1/2 . If this region is revolved about the y-axis, find the volume of the solid of revolution. (Note that ONLY the shell method works here).

Consider the following linear programming problem

Note: Report two digits after the decimal point. Do NOT use thousands-separators (,)

1 - Which of the following is the correct standard maximization form for the above linear programming problem

2- Fill out the following blanks with Final Simplex Tableau information

3- The optimal is

Z = Answer

When

X1 = Answer

X2 = Answer