Question

Consider that when medicine is administered, reaction (measured in change of blood pressure or temperature) can be modeled by

R = m2(c/2 -m/3)


 

where c is a positive constant and m is the amount of medicine absorbed into the blood.†

Find the amount of medicine that is being absorbed into the blood when the reaction is maximum.
m =

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Other

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: . Find all values of the constants m and b for which the function S sinx, y mx + b, x 2T is a. conti...

A: To find all values of m and b for which the function:   y=f(x)  =  sinx    x<π                   ...

Q: 3y2 - t2 dy t 0; y(1) = 1 2y4 dt

A: Express the differential equation 3y2-t2y5dydt+t2y4=0 in other form. t2y4+dydt-t2+3y(t)2y(t)5=0 Here...

Q: A county landfill has a maximum capacity of about 121,000,000 tons of trash. The amount in the landf...

A: (a) Find the slope and the y - intercept and then plot the equation for the function T(x). Tx=64,000...

Q: Find the average rate of change for the function over the given interval. y = 2x3 - 5x2 + 5 between ...

A: Click to see the answer

Q: Calculate the average value of  f (x) = x sec2x on the interval [0, π/4].

A: Click to see the answer

Q: Family of constant functions f(t) = c

A: According to the question,, we have to define the family of constant function ft=c. The family of co...

Q: .3 Find f'(t) if f(t) = 8t° + 5t + 4. f'(t) =

A: Consider the function  f(t)=8t3+5t+4  

Q: Air pressure at sea level is 30 inches of mercury. At an altitude of h feet above sea level, the air...

A: Hey, since there are multiple subparts posted, we will answer the first 2 question. If you want any ...

Q: A cylindrical gasoline tank is placed so that the axis of the cylinder is horizontal. Find the fluid...

A: Given A cylindrical gasoline tank is placed so that the axis of the cylinder is horizontal. The diam...

Q: 3. Find the integral. 2x dx x2 + 10x + 29 а.

A: Click to see the answer

Q: Given a cost function C(x) as C(x)=20+x−12x2, calculate the marginal average cost when x=2, use this...

A: Given:C(x)=20+x-12x2

Q: Solve and determine what type of DE.

A: Click to see the answer

Q: When is it easier to use the addition method rather than the substitution method to solve a system o...

A: Click to see the answer

Q: A $25000 investment has grown by 11% annually since January 1, 2020. When will the investment reach ...

A: A $25,000 investment has grown by 11% annually since January 1, 2020. When will the investment reach...

Q: pls help me answer question E-H

A: e) Given data:   The expression for the given limit is limx→0tan(x)-sin(x)x2tan(x).     The given fu...

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?...

A: fx=4x-6 The given function is not defined at x=6. It has a vertical asymptote at x=6. Therefore, lim...

Q: Can i get help with problem?

A: Given Data: coordinates of line 8,-5 (4,-7) The slope is the ratio between the vertical change to th...

Q: Evaluate algebraic expression for the given value or values of the variable(s). x2 - 4(x - y), for x...

A: Given algebraic expression is x2-4x-y. Now, when x=8 and y=3 then  x2-4x-y=82-48-3=64-4·5=64-20=44

Q: Use the table to find  limx→9f(x)limx→9f(x) x 8 8.9 8.99 9 9.01 9.1 10 f(x) 10 11.8 11.99 10 12...

A: Givenlimx→9f(x)

Q: Find an approximation to 25 correct to within 10-4 using the Bisection Algorithm.

A: To find  x = 25(1/3) f(x) = x - 25(1/3) Bisection method First decide x = a and x =b so that f(a)*f(...

Q: Find the slope of the curve y = 2x* + 3x³ + 2x2 – 1 at a point where it crosses the x-axis

A: y=2x4+3x3+2x2-1 A curve crosses the x-axis at a point where its y-coordinate is zero. Therefore solv...

Q: Use logarithmic differentiation  Show all work Y= 1 divided by t(t+1)(t+2)

A: Click to see the answer

Q: Find the slope of the tangent to the curve. (If an answer is undefined, enter UNDEFINED.) 2x2 - 10x ...

A: Click to see the answer

Q: 2n + 3" ind the sum of the series:

A: Click to see the answer

Q: A 16 ft ladder leans against a wall. The bottom of the ladder is 5 ft from the wall at time t=0 and ...

A: Given: Length of the ladder against the wall is l is16 ft The distance between wall and the bottom o...

Q: Find the average rate of change of y with respect to x if x changes from 3 to 5 in the function y = ...

A: first, we find derivative y'=2x+3 

Q: The City Council proposed to utilize a government-owned land with an area of 21,600 square meters. O...

A: Since you have asked multiple questions in a single request, we would be answering only the first qu...

Q: Can i get help with this problem?

A: Click to see the answer

Q: Division of Polynomials Two polynomials P and D are given. Use either synthetic or long division to ...

A: Click to see the answer