Suppose that y = C(t) represents the average cost of a gallon of milk in the United States t years since 1980. What does AC represent? Δι

Q: Let B = 5 T as in Example 3. Estimate the instantaneous rate of change of B with respect to T when…

A:

Q: B)ls w = Ze² analytical function or not?

A:

Q: Find the y ( the fifth derivative ) of y =D x5

A: y=2x5⇒y=2x-5 Differentiating with respect to x, we get y'=2-5x-6     ∵dxndx=nxn-1=-10x-6 Again…

Q: Differentiate the following function.   y = e2 ln (x+1)

A: We have given y=e2lnx+1 Then, dydx=ddxe2lnx+1=e2dlnx+1dx=e2×1x+1=e2x+1

Q: |The projected rate of increase in enrollment at Newhampton College is estimated |by dE 5000(t +…

A: Isolate the variables E and t in the given differential equation. dEdt=5000t+1-32dE=5000t+1-32dt

Q: The demand for butter in Mexico for a particular year can be estimated by the general functionln q =…

A: lnq=D-0.47lnp Differentiating with respect to p, we get…

Q: Find dx * for y = (x² + 2)°(1 – x³)* using logarithmic differentiation.

A:

Q: 13. Find the derivative of y = ef 2e D.y'= A. y' B. y' = - C.y: cy-

A: The function is y=e2x

Q: (A) Find the derivative of t² – 1 y = t2 + 1

A: The identity used is d(uv)dt=v *dudt-u*dvdtv2 where, u and v are the functions of t.

Q: find the first and second derivatives

A: According to power rule of differentiation , ddx(xn)=nxn-1  and according to sum rule of…

Q: Find the rate of change of x with respect to p. 4 x2 0 0.000001x2 + 0.09x + 5 dx dp ||

A: Proceed as shown below

Q: -e' 4. Y = e3x +e¬3X

A: Given: y=e3x-e-3xe3x+e-3x

Q: What is the decreasing and what is the constant

A:

Q: A chemical flows into a storage tank at a rate of (180 + 3t) liters per minute, where t is the time…

A:

Q: 2. The rate at which the number of bacteria in a culture is changing (in thousands of bacteria per…

A: As per our limit we can answer only the first question. If you want other questions to be answered…

Q: e3x-e-3x Y = e 3x+e-3x 4. t2 y= 72-1 5. X = t-1

A:

Q: Q5:The derivative of: y(Y)= log,(sin (Y )cos (Y ))- log,(2*e

A:

Q: A person's Body Mass Index is I = ", where W is the body weight (in kilograms) and H is the body…

A: Given Body mass Index   I=WH2

Q: Find the total derivative dy dw. Y=3x+2w+5z x=4 In(w*) z=e43x³

A: Given, y=3x+2w+5z2x=4ln(w2)z=e-z+3x-3

Q: h(x) = e(-1/2)x

A:

Q: The concentration of an antihistamine in the bloodstream of a healthy adult is modeled by C = 12.5 -…

A:

Q: 1. The rate of change and when 0,xo = 3 t= when =47 is proportional to When What is the value of t =…

A: Note: According to our expert guidelines only first individual question is to be answered kindly…

Q: 2. If y = x +3x-2x+1, find the values of the following e. derivative, i. У"(2) d'y ii. dx ii. y" (2)

A: Please refer to the image below

Q: |The projected rate of increase in enrollment at Newhampton College is estimated by dE 5000(t +…

A: Given, The projected rate of increase the enrollment student at Newhampton college is estimated by…

Q: Find the derivative. y= e9x/e9x+4

A: detailed solution is given below

Q: 2. Find the instantaneous rate of change for y= arctan- at x = 3. 2 12 A. 85 2 В. 13 3n D. 4 С. О

A:

Q: Compute the derivative: d x4 – 4 dx \ x2 – 5 lz=D3 The derivative is:

A:

Q: An investment pays out 800,000 Mexican pesos per year, continuously for 5 years. Find the PV of the…

A: Given, AmountA=800,000t=5 years

Q: The rate of change of the number of coyotes N(t) in a population is directly proportional to 650 −…

A: Consider N(t) as the population of the coyotes after t years. Consider the given statement as the…

Q: 19. e* +e = e**y

A: Solution ) ex + ey = ex + y  Differentiate with respect to x d/dx ( ex + ey )  = d/dx ( ex + y ) […

Q: The rate of change of x is proportional to x. When t = 0, x0 = 3 and when t= 2, x = 6. What is the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A factory is dumping pollutants into a river at a rate given by dx/dt=t3/4/400 tons per week, where…

A: Given that A factory is dumping pollutants into a river at a rate dxdt=t34400

Q: Find the derivative of h(x) = e³ + Vx + lnx. I

A:

Q: Q.4 Suppose that electricity is draining from a capacitor at a rate that is proportional to the…

A:

Q: The Reed-Frost model for the spread of an epidemic predicts that the number I of newly infected…

A:

Q: 1. The flow rate of the feed to the reactor in a chemical production plant is given by the equation:…

A:

Q: The mass of a radioactive sample is given by M(t)=M010^-kt where t is the time in years, M0 is the…

A:

Q: The third derivative of y=x is A) 0 B c) None of the given choices D) 6x E) 3x

A:

Q: A culture initially has P0 number of bacteria. At t=3 hour the number of bacteria is measured to be…

A:

Q: A population of endangered salmon, S(t), starts out with 100 fish and decreases at a rate…

A: This is a problem related to decay law. Based on the general formula ad concept we will answer the…

Q: Suppose that electricity is draining from a capacitor at a rate that is proportional to the voltage…

A: Solve the differential equation by variable separable method. 1) when it is given that voltage drop…

Q: are

A:

Q: if f=5 is an equilibrium solution of an equation of change involving df/dx, what is the value of…

A: f=5 is an equilibrium solution of an equation of change involving dfdx.

Q: (A) Find the derivative of t2 – 1 y = t2 +1

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Suppose that electricity is draining from a capacitor at a rate that is proportional to the volt-age…

A: Separate the variables.

Q: The Reed-Frost model for the spread of an epidemic predicts that the number I of newly infected…

A: Consider the given model, I=S1-e-rx it is given that x=17, r=0.1 and S=200

Q: Find the first derivative of g(t) = ln| t7 g'(t) =

A: topic - derivative of a function

Q: Find the first derivative of exte-2 y = = ܘ ܘ e+ܫܐܕ 2k+e ye+e 2 ܪܢܐ e+e 2 ܢܐܨ ܐ e+e

A:

Q: d (2a*e" + 4a*) dx Calculate the derivative:

A: