Question

The drug concentration curve is given by equation: ?(?) = 6? ∙ ? -0.5t . Here...

The drug concentration curve is given by equation: ?(?) = 6? ∙ ? -0.5t . Here concentration ?(?) is measured in mg/ml and time is measured in hours.  What is the rate of drug concentration increase at t = 0? For how may hours will the drug concentration be increasing? (Hint: the drug concentration function increases until it reaches its maximal value, and then it starts to decrease.)

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1)The concentration of a drug in an organ at any time t (in seconds) is given...
1)The concentration of a drug in an organ at any time t (in seconds) is given by x(t) = 0.08 + 0.18(1 − e−0.04t) where x(t) is measured in milligrams per cubic centimeter (mg/cm3). (a) What is the initial concentration of the drug in the organ?   mg/cm3 (b) What is the concentration of the drug in the organ after 18 sec? (Round your answer to four decimal places.)   mg/cm3 2)Jane took 120 mg of a drug in the morning and...
the concentration of a medicine in the bloodstream after t hours of taking it is given...
the concentration of a medicine in the bloodstream after t hours of taking it is given by the equation c(t)=.1t/(t+3)^2 where t is the elapsed time in hours measured from 11am what is the maximum concentration
The speed with which a drug spreads in the bloodstream is governed by the differential equation,...
The speed with which a drug spreads in the bloodstream is governed by the differential equation, dX/dt=a-bX where a and b are positive constants. The function X (t) describes the amount of the drug in the bloodstream at an instant t. Find the limit value of X (t) when t goes to infinity. How long does the concentration of the drug take to reach half of this limit concentration? Assume that at time t = 0 the amount of the...
The IS Curve: Assume that the consumption function is given by C= 2000 + 0.6(Y– T)...
The IS Curve: Assume that the consumption function is given by C= 2000 + 0.6(Y– T) and the investment function is I= 4,000 – 200r, where r is measured in percent, G equals 3000, and T equals 2000. a) What is the numerical formula for the IS curve? (Hint:Substitute for C, I, and G in the equation Y= C + I + G and then write an equation for Y as a function of r or r as a function...
Assume that the consumption function is given by C = 100 + 0.5(Y – T) and...
Assume that the consumption function is given by C = 100 + 0.5(Y – T) and the investment function is I = 1,000 – 100r, where r is measured in percent, G equals 200, and T equals 100. a. What is the numerical formula for the IS curve? (Hint: Substitute for C, I, and G in the equation Y = C + I + G and then write an equation for Y as a function of r or r as...
The Noyes-Whitney equation is often used to predict the rate at which a solid substance dissolves...
The Noyes-Whitney equation is often used to predict the rate at which a solid substance dissolves into water. One form of this equation is: dC/Dt = k(CS-C) where k=DA/Vh . Here D is the diffusivity of the dissolving substance in the electrolyte, A is the area of the sample dissolving, h is the thickness of the diffusion boundary layer, V is the volume of electrolyte, C is the time-dependent concentration of the substance in the electrolyte and Cs is the...
The per capita growth rate of many species varies temporally for a variety of reasons, including...
The per capita growth rate of many species varies temporally for a variety of reasons, including seasonality and habitat destruction. Suppose n(t) represents the population size at time t, where n is measured in individuals and t is measured in years. Solve the following differential equation. Habitat destruction is modeled as n' = (r − at)n      n(0) = n0. Here the per capita growth rate declines over time, going from positive to negative. It is modeled by the function r −...
please show all work and circle answer if you cant do all the parts please don't...
please show all work and circle answer if you cant do all the parts please don't answer question part 1) Let g(x,y)=cos(8x+5y). Evaluate g(1,−2). Answer: g(1,−2)= part 2) Suppose f(x,y)=xy^2−8. Compute the following values: f(4,3) = f(3,4) = f(0,0) = f(−1,3) = f(t,2t) = f(uv,u−v) = part 3) Consider the concentration, C, (in mg/liter) of a drug in the blood as a function of the amount of drug given, x, and the time since injection, t. For 0≤x≤6 mg and...
1) A firm’s demand equation is given by: Qd = 60 – 60P + 2Y, where...
1) A firm’s demand equation is given by: Qd = 60 – 60P + 2Y, where Qd is quantity, P is price, and Y is income. If price increases by $2 and income increases by $80, then quantity demanded will: Answers: increase by 160 units. increase by 80 units. decrease by 120 units. increase by 40 units. decrease by 60 units. 2) The demand function for pork is Qd = 300 – 100P + 0.01INCOME where Qd is the tons...
Use the shortcut rules to mentally calculate the derivative of the given function. HINT [See Examples...
Use the shortcut rules to mentally calculate the derivative of the given function. HINT [See Examples 1 and 2.] f(x) = 4x4 + 7x3 − 3 f '(x) = Use the shortcut rules to mentally calculate the derivative of the given function. HINT [See Examples 1 and 2.] f(x) = −x + (8/x) +1 f '(x) = Find the derivative of the function. HINT [See Examples 1 and 2.] f(x) = 8x3 − 4x2 + x f '(x) = Find...