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.† The sensitivity to the medication is defined to be the rate of change of reaction R with respect to the amount of medicine m absorbed in the blood. (a) Find the sensitivity. (b) Find the instantaneous rate of change of sensitivity with respect to the amount of medicine absorbed in the blood.

Q: .Find the instantaneous rate of change to the function f(x)= sin.x tan.x at x=- ? 4 а. 0 b. с. л d.…

A:

Q: The radius r of a sphere is increasing at a rate of 3 inches per minute. (a) Find the rates of…

A:

Q: For the function y = x2 , find the instantaneous rate ofchange of y with respect to x when x = 3.

A: The instantaneous rate of change of y with respect to x is given by dy/dx

Q: Find the instantaneous rate of change Of the function at the Speciried value of X flx)=X?-2; X -3

A:

Q: Estimate the instantaneous rate of change at the point indicated. f (x) = ex ; x = e

A: To find the instantaneous rate of change at indicated point:f(x)=ex;x=e. Solution: we know, the…

Q: amount

A: Please refer to the image below

Q: Let r be the reciprocal of a number n. /hat is the instantaneous rate of change of r with respect to…

A: Let r be the reciprocal of number n ⇒r=1nNow,instantaneous rate of change of r with respect to n…

Q: The increase in carbon dioxide (CO2) in the atmosphere is a major cause of global warming. Using…

A:

Q: A hot-air balloon is 140 ft above the ground when a motorcycle (traveling in a straight line on a…

A: Given the height in which the hot air balloon placed above the ground is 140 ft. Velocity of the…

Q: The rate at which a radioactive chemical is delivered into cells is r(t) (measured in miligrams per…

A: NOTE: As method is not specified, question is solved for Riemann left end point approximation.

Q: A​ hot-air balloon is 190 ftabove the ground when a motorcycle​ (traveling in a straight line on a…

A: Let x be the horizontal distance from balloon to motorcycle, y be the vertical distance from the…

Q: A ladder of length 3 meters is placed on a wall, with the distance from the wall x and the height of…

A:

Q: The edge of an expanding cube is changing at the rate of 2.3 cm/s at the instant its edge is 18.3 cm…

A:

Q: What is the average rate of 5. If f (t) = -3t + 7t, describes the movement of a whale in meters.…

A:

Q: A spherical snowball melts at a rate proportional to its surface area. Show that the rate of change…

A: Given that spherical snow ball melts at a rate proportional to its surface areaShow that rate of…

Q: The radius of a spherical balloon is decreasing at a rate of 2 - in/sec. Which of the following is…

A: As we know that the expression for the volume of the sphere: v=43πr3 Where; ''r'' is the radius of…

Q: Car B starts 30 miles directly east of car A and begins moving west at 90 mph. At the same moment…

A:

Q: A triangle with constant base b and height h is changing with time where h(t) = 2t – 3. What is the…

A:

Q: To determine drug dosages, doctors estimate a person’s body surface area (BSA) (in meters squared)…

A: Solution:Given     BSA=hm60To calculate  the rate of change of BSA with respect to mass for a person…

Q: Find the average rate of change of f from 0 to π /6 . f(x)=sec(2x)

A: To find the average rate of change of function,from 0 to π6. f(x)=sec(2x) Solution: We know, Average…

Q: The cone is 12 cm tall and has a radius of 4 cm. If the ice cream fills the cone evenly at a rate of…

A:

Q: 1. If the radius of a spherical balloon is increasing at the rate of 3 cm/s, which of the following…

A: We are only allowed to solve one question at a time so we will answer only the first question.…

Q: d. In which direction is the instantaneous rate of change the maximum from (1,0)? What is the…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: The area A of a circle is increasing at a constant rate of 2cm's-. If the area of the circle is…

A:

Q: A square with side x, is changing with time where x(t) =3t + 1. What is the formula for the rate of…

A:

Q: A designer develops a cylindrical box with a fixed height of 15 cm. Calculate the instantaneous rate…

A:

Q: Suppose a quantity described by the function y(t) = y0ekt, where t is measured in years, has a…

A: yt=y0ekt The quantity has a doubling time of 20 years. That is, yt=2y0 when t=20.

Q: tan(Cx) Va6+2 find the rate of change of P with respect to x, where C is a Given that P = constant.

A:

Q: Enter the exact answers. (a) Find the average rate of change of y = with respect to x over the…

A:

Q: A balloon has just been inflated. Calculate the instantaneous rate of change by which the area…

A: Introduction: A geometric shape with a sphere-like appearance. In three dimensions, the sphere is…

Q: The height h of a right circular cylinder is twice its radius r. Find the rate of the volume V of…

A: The volume of the right circular cylinder is given as: V=πr2h where 'r' is the radius of the cone…

Q: S. A searchlight is trained on an object falling under the in- fluence of gravity from a height of…

A:

Q: At a temperature of 20°C, the volume V (in liters) of 1.33 g of o, is related to its pressure p (in…

A: As per guideline we have to solve one question Please repost other question again

Q: The rate at which bacteria multiply is proportional to the instantaneous Number Present. If the…

A:

Q: As an orange grows, the rate of change of the radius r of the orange is inversely proportional to…

A: Given query is to find differential equation.

Q: Because of heavy rainfall, the water level in a reservoir is rising at a rate of g(t) feet per hour,…

A: Given problem :- Because of heavy rainfall, the water level in a reservoir is rising at a rate of…

Q: estimate the instantaneous rate of change at the point indicated.f (x) = ln x; x = 3

A: To find the instantaneous rate of change at x=3 we need f'(3) We find f'(x)

Q: A spherical balloon is deflated at a rate of 10 cm3 s-1. Find the rate change of the surface area…

A: given: A spherical balloon is deflated at a rate of 10 cm3s-1. we have to find the rate change of…

Q: Suppose the area A of a particular rectangle increases at a rate of 2 cm^2/sec and the width w of…

A:

Q: estimate the instantaneous rate of change at the point indicated. f (x) = e^x ; x = 0

A: To find the instantaneous rate of change at x=0 we need f'(0) So we find f'(x)

Q: A hot air balloon is 120 ft. above the ground when a motorcycle (travleing in a straight line on a…

A: Given that, A hot air balloon is 120 ft. above the ground when a motorcycle (traveling in a straight…

Q: 6. Air is being pumped into a spherical ball at a rate of 7 cm³/sec. What is the rate of change of…

A:

Q: A stuntman estimates the time T, in seconds, for him to fall x meters, 15. is T(x) = 0.54Vx. Find…

A: Instantaneous rate of change – It is the rate of change at each instant in time, not over a long…

Q: The length of a rectangle is increasing at a rate of 9 in./s, while its width is decreasing at 2…

A:

Q: What is the rate of change of y = In x at x = 1 O?

A: Given: y=lnx at x=1

Q: It follows from Poiseuille's Law that blood flowing through certain arteries will encounter a…

A: Given  R(x) = 0.25(1 + x)4

Q: The volume of a sphere is increasing at a rate of 8 cm3/sec. Find the rate of change of the radius…

A: Given : V= 32π/3 cm3              dV/dt = 8 cm3 /sec

Q: Given the function f(x) = x which of the following is a valid formula for the instantaneous rate of…

A: The given function fx=x23 The instantaneous rate of change is given by limh→0fa+h-fah

Q: The radius of a sphere is decreasing at a rate of 2 centimeters per second. At the instant when the…

A: Write the equation of the surface area of sphere solve it as per given in step 2