The concentration, C, of phenylbutazone, in micrograms per milliliter (ug/mL), in the plasma of a calf injected with this AC 50- anti-inflammatory agent is given approximately by C(t) = 42.75 e -0.01057t, where t is the number of hours after the injection and Q Osts 120. 40- Given that the model is accurate for 0sts 120, what is the initial dosage? a) b) What is the average amount of phenylbutazone in the calf's body for the time between 10 and 120 hours? 30- 20- 10- 0- 40 80 120

Q: Find the supply function x = f(p) that satisfies the initial conditions. dx 10 x = 160 when p = $1…

A:

Q: The concentration, C, of phenylbutazone, in micrograms per milliliter (ug/mL), in the plasma of a…

A:

Q: Solve the IVP d3 t3X(t) - 9x(t) = 18 e-3t dt x(0) =8 x'(0) = 9 x"(0) = 0 then find x(0.5) accurate…

A:

Q: Solve the initial-value problem for x as a function of t. da (t - 10t + 21) = 1, (t > 7, z(8) = 0)…

A:

Q: The position of a moving particle is given by s(t) = t2 – 7t + 4 on the interval 0 <t< 4, where 's'…

A:

Q: Answer part D.

A: As we consider the approximation of function have already done in  above parts,(D) When change in x…

Q: Q3) Use Euler's method to estimate y(0.02) ey-x 1+ e2y y(0) = 1 ( h=0.01) .What is the error in the…

A: Given ; h = 0.01 y(0) = 1

Q: A new fast-food firm predicts that the number of franchises for its products will grow at the rate…

A:

Q: Please answers part c, d

A: As per norms, the first three questions are answered. The questions concern the linear approximation…

Q: 2. Integrate numerically the given function, fx0.1(1.2-x)(1-e20(x-1)) dx with the multiple-segment…

A:

Q: If a ball is thrown straight up into the air with an initial velocity of 60 ft/s, its height in fe…

A:

Q: The pressure in newtons per square meter (N/m²) of a gas in a cylinder is given by P = 307 - with…

A: Here we use the derivative the both parts.

Q: Solve the initial-value problem. dN_ _t+5 dt t -, for t21 with N(1)=5 The solution to the…

A:

Q: (b) Find dE According to this model, if Cheryl is more tired than Desiree, but all other factors are…

A:

Q: Find the amount of medicine to which the body is most sensitive by finding the value of M that…

A: Given

Q: For a given function ƒ, explain the steps used to solve the initialvalue problem F '(t) = ƒ(t), F(0)…

A: Consider the following differential equation: F't=ftdFtdt=ftdFt=ftdt Integrate the above equation:…

Q: The concentration of pollutant bacteria e in a lake decreases according to c = 70 e 1.5t + 25…

A: Given c = 9, then 9 = 70e-1.5t+25e-0.075t, we can rewrite it as f(t) = 70e-1.5t+25e-0.075t-9

Q: Solve the initial-value problem for a as a function of t . da (t – 13t + 42)- = 1, (t > 7, ¤(9) = 0)…

A:

Q: The pressure in P = 10T/V     of a gas in a cylinder is given by   with T in kelvins (K) and V…

A: Given as : P=10TV By differentiating it with respect to t: dPdt=10VdTdt-TdVdtV2 ......1 1). If T is…

Q: The concentration, C, of phenylbutazone, in micrograms per milliliter (µg/mL), in the plasma of a…

A:

Q: If a ball is thrown into the air with a velocity of 46 ft/s, its height in feet i seconds later is…

A: Given : y = 46t - 16t2  t = 46

Q: Solve the initial-value problem for yy as a function of x. (x2+49)dy/dx=1,y(7)=0.

A:

Q: Solve the initial-value problem for a as a function of t. dr 9, x(2) = 0 (2t* – 212 +t – 1) dt

A: We have to solve the initial value problem

Q: A rocket, fired from rest at time t = 0, has an initial mass of m0 (including its fuel). Assuming…

A: Given m(t)=m0-kt and the differential equation as…

Q: A new fast-food firm predicts that the number of franchises for its products will grow at the rate…

A:

Q: A new fast-food firm predicts that the number of franchises for its products will grow at the rate…

A: The number of franchises for its products will grow at the rate  dndt=4t+1 where t is the number of…

Q: A rocket, fired from rest at time t=0, has an initial mass of m0 (including its fuel). Assuming that…

A: Let m(t) and v(t) be the mass and velocity of the rocket at time t. If m0 is the initial mass at…

Q: The number N(t) of supermarkets throughout the country that are using a computerized checkout system…

A: The number N(t) of supermarkets throughout the country that are using a computerized checkout system…

Q: Given the acceleration of a particle is a(t) = . If the initial velocity is v(0) = , find the…

A:

Q: A student would like to calculate an approximate value for v15 using the Newton- Raphson method with…

A: The absolute approximate error is given as | x3 - x2 | = |3.8731 - 3.8966 | = 0.0235  To find value…

Q: The population of a culture of bacteria has a growth rate given by p'(t) = 210 bacteria per hour,…

A: Given data is: The population of a bacteria growth culture is: p't=210t+1r  The increase in…

Q: The pressure in P = 10T/V     of a gas in a cylinder is given by   with T in kelvins (K) and V…

A:

Q: Use the fourth-order Runge Kutta method to solve for the velocity and position of the free-falling…

A: Given:- t=0 , x=v=0  t=4s

Q: Grass clippings are placed in a bin, where they decompose. For 0 sts 10 , the amount of grass…

A: First find the Linear approximation function of the A(t) then solve the problem.

Q: The position of a particle at time t is s(t) = 4t^3. Compute the average velocity over the time…

A:

Q: Assume Y(t)=20e^(rt) and Y'(t)=20re^(rt), to show how the concentration of yeast changes over time.…

A: Y(t) = 20 exp(rt)    We know that concentration doubles every 3.4 hours.  Y(t + 3.4) = 2 * Y(t)  Put…

Q: A whole life policy is issued to (30) with Z=10 for T20. If the force of interest and mortality is…

A: We have to find actuarial present value of the benefit for this policy

Q: Solve the initial-value problem for x as a function of t . (2t³ − 2t² + t − 1) 12, x(2) = 0 dx dt =

A:

Q: Find the L{y(t)}, given the initial value proble y" - 3y' + 2y = t - 2;

A:

Q: Researchers in Alaska have developed models that can be used to estimate the mass of a polar bear.…

A: The equation relating mass and body dimensions is given as: M(x,y)=0.000199x1.2823y1.4874   Weight…

Q: A 50-gal barrel is filled completely with pure water. Saltwater with a concentration of 0.3 Ib/ga…

A: Given, The amount of salt in the barrel at time t is given by…

Q: A new fast-food firm predicts that the number of franchises for its products will grow at the rate…

A:

Q: Solve the initial-value problem for y as a function of z. (64 – ) = 1, y(0) = 2 dy da

A:

Q: Solve the initial-value problem for a as a function of t. da 9, x(2) = 0 (2t – 212 +t – 1) – dt

A: We have to solve the initial value problem for x as a function of t.…

Q: Suppose that a change in biomass B(t) at time t during the interval [0,5] follows the dB equation…

A:

Q: The position of a particle at time t is s(t) = 4t^3. compute the average velocity over the time…

A:

Q: Use Euler's method to estimate y(0.02) ey-x y' 1+ e2y »y(0) = 1 (h=0.01) .What is the error in the…

A: The solution is given as

Q: A car drives down a road in such a way that its velocity (in m/s) at time t (seconds) is v(t) =…

A: