inctions f(x) = b* pass through %3D

Q: If an initial amount A, of money is invested at an interest rate r compounded n times a year, the…

A: Given, The formula for amount A compounded n times is,…

Q: variation of parameters  y''+y'-2y=ln(x)

A: The differential equation DE is y''+y'-2y=ln(x). The homogeneous DE is y''+y'-2y=0. Its solution is…

Q: Duestion : Find the first derivotive of the llowing function. Arcton x2 f(x) = + e (Arccosx)

A: Given    fx=1Arccosx22+eArctanx2 i.e. fx=1cos-1x22+etan-1x2

Q: Interest Rate Suppose that $30,000 is invested atcontinuous rate r and grows to $121,656 in 28…

A: Principle amount = $30000 Total amount grown at the end of 28 years= $121656 Amount of interest is…

Q: 5. In the real world there are many situations in which some quantity depends on a variable which at…

A: We have given  Radius r(t) = 3t  Area A(r) = πr2  Find the area  1) when t= 2 minutes  2) when t= 5…

Q: Determine the rate at which the total average of COVID cases is increasing at x = 10 tents and…

A:

Q: Aradioactive element decays according to the function Q= Qo e", where Qo is the amount of the…

A: A radioactive element decays according to the function Q=Q0ert ......................... (1)  Q0=…

Q: Shade the region under the graph of f(x)= 2/e^x bounded by x= -1 and x= 2 . Find the area of the…

A: The given function y=f(x)=2ex is bounded by x=-1 and x=2. The area of the bounded region is given by…

Q: The function given by y = f(x) shows the value of $5000 invested at 5% interest compounded…

A:

Q: The function given by y = f(x) shows the value of $8000 invested at 6% interest compounded…

A:

Q: Income streams Suppose the present value of a con- tinuous income stream over the next 5 years is…

A: integration by parts formula is given by,  ∫abf(t)g'(t) dt=f(t)g(t)ab-∫abf'(t)g(t) dt

Q: Total area of PDF is always equal to 2.     No     Yes     Sometimes     None of the above

A: Option a) is correct. No

Q: Housing Starts A county realty group estimates that the number of housing starts per year over the…

A: We have, number of housing start per year over the next three year is given as Hr=3001+0.03r2…

Q: Application of Integration A small town in South Africa has an annual population growth rate of e10*…

A:

Q: 18. 3*-1.52x+1dx

A: To find the value of integration ,∫3x-1.52x+1dx Solution: Let us denote the integral by I as,…

Q: Approximate to four decimal places using the linearization L(x) of f(x) = at a = 100 and use a…

A:

Q: average rate of change for f(x)=-3x2+6 from 0 to 2 from 4 to 6 from 2 to 5

A:

Q: The fox population in a certain region has a continuous growth rate of 9 percent per year. It is…

A: General form of exponential function is  P(t)=P0(e)kt where k is the growth rate  P0 is the initial…

Q: Radioactive Carbon-14 The percentage P of radio- active carbon-14 remaining in a fossil after t…

A:

Q: Snowflakes land randomly on a small area of the ground at a rate of 16 per minute. Let X be the…

A: Solution

Q: Find all relative extrema. Use the Second Derivative Test where applicable. (If an answer does not…

A:

Q: The city of Anville is currently home to 15000 people, and the population has been growing at a…

A: This question can be solved using the concept of compounding.

Q: A small pond contains 12 units of dissolved oxygen in a fixed volume of water. At time t= 0, a…

A: Given query is to find the correct answer for  the oxygen concentration.

Q: 1_4 Can you please help me with this example in a step by step guide. Thank you very much!!

A: Given information:Denote the number of Uber shares (in millions of shares per hour) sold as x.Denote…

Q: Axercise 3. Suppose X ~ U(0,1) and Y = -}log(X), for a constant A > 0. Show that Y has the…

A:

Q: Boyle’s Law states that when a sample of gas is compressed at a constant temperature, the pressure P…

A: Given Boyle's equation PV=C, where P is pressure , V is volume and C is constant. Also, given that…

Q: = x²y* y3 x3

A:

Q: Consider the revenue function R(x)=x^2 ln (x) a) find where the revenue is zero. b) find the…

A:

Q: III. In a particular very small region, the consumer price index, C, depends on the current valuc of…

A: A consumer price index is a price index, the price of a weighted average market basket of consumer…

Q: Life Span On the basis of data and projections for theyears 1910 through 2020 the expected life span…

A: Given that the expected life span of people in the United States can be described by the function,…

Q: Sales of milk at time t years are projected to be at the rate of 15 + 30e¬0.5t million gallons per…

A: Let S represents the sales of milk at time t years. Then, from the given relation we have the rate…

Q: The development of an amusement park will increase the citys population at the rate of 4500V+ 1000…

A:

Q: A 2000 L tank initially contains 40 kg of salt dissolved in 1000 L of water. A brine solution…

A: Consider the amount of salt in 1000L water as xt. Initially x0=40. Rate of change of salt is inflow…

Q: stationary process with zero mean. If var [d (n)] = var (x (n)], find 10 Rxx (I) var (x (n)]

A: Answer: For the given data

Q: Comparing growth rates Determine which of the two functions grows faster, or state that they have…

A: Definition: Let the functions fx  and  gx takes the positive value for sufficiently large values of…

Q: Life function S(x) = e¬0.001x² If , x> 0, find f(x)'i and µ(x)' and 10P50

A: Given the life function, Sx=e-0.001x2

Q: A rocket will carry a communications satellite into low Earth orbit. Suppose that the thrust during…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: The initial population size of rock ptarmigans in an area is 500 ptarmigans. The growth rate is 0.2…

A:

Q: A tank contains 150 liters of fluid in which 20 grams of salt is dissolved. Brine containing 1 gram…

A: Given that the initial amount of salt = 20 g    and rate of pumping in=3L/min  Let A be the amount…

Q: lation of bacteria doubles e population be at the end o-

A: Given initial population of bacteria is 45, also, the growth doubles after every 18 minutes. Let r…

Q: Area. Suppose the area of a circle is decreasing at a rate of3m2/sec, the rate of change of the…

A:

Q: f. initial value of 200 decreasing at a rate of 4% Function f. g: initial value of 40 increasing at…

A:

Q: ] = concentration of react= , = initial concentration o: * = rate constant t = time

A: Introduction: To condense an algebraic equation by grouping and combining related terms or to reduce…

Q: The exponential function f(x) has a horizontal asymptote at y = 3. What is the end behavior of f(x)?…

A:

Q: given the function fGx )= 25+5S42-2 de termine.

A:

Q: A model for the yield Y(N) of an agricultural crop is a function of the nitrogen level N in the…

A: Given,           A model for the yield YN of an agricultural crop is a function of the notrogen…

Q: A factory installs new machinery that saves S(x) = 1600 − 60x  dollars per year, where x is the…

A: S=Sx=1600-60x=annual savingsC=Cx=100x=annual maintainance expensea Let x be the year where…

Q: Usi

A: Given f(n)=nlog2ng(n)=n

Q: U.S. Population Using data for selected years from1990 and projected to 2050, the total U.S.…

A: y=-363.3+166.9lnx Where, x represents the number of years and y represents the number of people. The…

Q: Interest Rate Suppose that $10,000 is invested atcontinuous rate r and grows to $17,160 in 9…

A: Continuous return is given by formula R=Pert , where P is principal amount               R is…