Q4 (40 points): x' = x + -2 x(t) = ? %3D

Q: Over 4 years, researchers studied the growth of a fish population and found its growth rate to P'(t)…

A: hintddxtan-1x=11+x2 or,∫11+x2dx=tan-1x

Q: For T-tests on related measures, my number of subjects is odd. How do I calculate the differential…

A: In such cases, you can turn to  Repeated measures ANOVA which can detect differences in mean scores…

Q: When they invest K dollars, a fishery can produce Q(K) pounds of fish per month, where Q(K) = 104…

A:

Q: Because of job outsourcing, a town predicts that its public school population will decrease at the…

A: Proceed as shown below...

Q: A tank initially holds 245 liters of brine solution containing 25 Ibm (pound mass) of salt. At t =…

A: Initial amount in tank = 245 liters, in which 25lb Fresh water is poured into @ 7g/m. Well stirred…

Q: Q-3-Edaluate the fallowing Integration 1- X3 x21 2. 2- X+1

A: Use the partial fraction to solve the given problem.

Q: Integrate: dp 16 + p?

A:

Q: Q3. (a) Mention the engineering application of interpolation and integration. (b) The

A: To Find the engineering applications of interpolation and integration

Q: Solve using linearization using one digit approximation only 1) f(x) = V5

A:

Q: The growth of bacteria in food products makes it necessary to time-date some products (such as milk)…

A: Given, ƒ(t) = 500e0.1t  t- in days f(t)- in millions.

Q: For any logistic equation, show that the point of inflection occurs at y = L/2 when the solution…

A: Given: The logistic equation

Q: The AMA makes electric bike investment. One out of every 50 electric bike is faulty, but AMA doesn't…

A: Given - The AMA makes electric bike investment. One out of every 50 electric bike is faulty, but AMA…

Q: Why is the equation nonhomogeneous sometimes?

A:

Q: b) write an expression for the position in terms of time t, use c (lower case) to denote constant of…

A: a =dv/dt where a is acceleration

Q: Find the number of units x that produces the minimum average cost per unit  C  in the given…

A: We can use the application of derivative in order to solve the given problem.

Q: The population of Japan in 1960 was 94 million, the population in 1970 was 105 million. Set up and…

A: Given that the initial population of Japan in 1960 is 94million and the population of Japan in 1970…

Q: snip

A: Given: fx=3x-5 To Find: The average rate of change of the given function from x=0 to x=4

Q: 1 What is the family of the equation y %3D quadratic exponential linear

A:

Q: ) Find the integration: V1-X

A: Given integration, ∫032dx1-x2

Q: Find the number of units x that produces the minimum average cost per unit  C  in the given…

A: Given:

Q: Find the supply function x = f(p) that satisfies the initial conditions. dx 10 x = 140 when p = $5…

A: Here, dxdp=10p-5⇒dx=10p-5dp⇒∫dx=10∫1p-5dp+C...(1)

Q: Suppose an Egyptian mummy is discovered in which the amount of​ carbon-14 present is only about…

A: Refer to the question we have to find when the Egyptian die. It is given that amount of carbon-14…

Q: 4 Find the average rate of change of g(x) 9x2 on x3 the interval [-2,2]

A: In this question we have to find the rate of change.

Q: 3 Find the average rate of change of g(x) = 4x² + on the interval [-2,4]

A: Average rate of change of f(x)is 15.976 See the calculation below

Q: How can I find the gini index of y = x^1.1?

A:

Q: 3. When polluted water begins to flow into an unpolluted pond, the concentration of pollutant, C, in…

A: Given that The concentration of pollutant C in the pond at t hours is modelled by

Q: Several years ago, ADTF Distributors purchased a brand new cargo plane to increase their coast to…

A:

Q: 8. Approximate the value of xIn(x+1)dxusing left endpoints with n-4. Round to three decimal places.

A: We have to approximate given integral.

Q: In an effort to make the distribution of income more nearly equal, the government of a country…

A:

Q: The value of a computer t years after purchase is V(t) = 2, 000e-0.35t dollars. At what rate is the…

A:

Q: What values of a and b maximize the value of (x – x²) dx? |(Hint: Where is the integrand positive?)

A:

Q: projected that, t months from now, the population of a certain town will be growing at the rate of…

A:

Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

A: NOTE: Refresh your page if you can't see any equations. . the cost function is the average cost…

Q: Angelo, who is in a rowboat 2 kilometers from a straight shoreline wishes to go back to his house,…

A: Given that Angelo, who is in a rowboat 2 kilometers from a straight shoreline wishes to go back to…

Q: n of 100 bacteria has a half-life of 28 days. How many bacteria, y, will there be in x days?

A:

Q: QUESTION 2 Estimate the value of V80.9 + V80.9 using differentials.

A: To evaluate : 80.94 +180.94 Let f(x) = x14 Now, we can write 80.9 = 81- 0.1 Take x=81, ∆x=-0.1

Q: A bacterial colony is rapidly expanding. It has 10 bacteria at time t=0 and 2000 bacteria at time…

A: As per our guidelines we only solve first question and rest of the question will be reposted.

Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

A:

Q: The decay equation for radon-222 gas is known to be y = y0 e-0.18t, with t in days. About how long…

A: The decay equation for radon-222 gas is known to be y = y0 e-0.18t, with t in days. About how long…

Q: The value of residual at y = 48 and x = 325 is = places)

A: Let x denote the number of pages.  It is given that The regression equation of y on x is y = 35.3 +…

Q: 17 It is found that the bloodstream concentration, C (in ug/mL), can-be modeled by C(r) T2 + 11…

A: According to the our guidelines we are supposed to do only first three subparts. Kindly repost the…

Q: Jesaki Inc will sell N units of product after spending $a thousand in advertising, as given by N=71…

A: Take the derivative both sides and substitute the values then simplify.

Q: . Use the variation of parameters formula together with the exponential from part 3) to find the…

A: As per the question we have the following second order linear non-homogeneous differential equation…

Q: A bacterial population Y is known to have a rate of growth proportional to Y itself. If between noon…

A:

Q: The population of Normal, Illinois grows proportionally to its population at time t. At an initial…

A: Given, dPdt=kP Where P is the population and k is the proportionality constant.

Q: When the price of a certain commpdity is p dollars per unit, the manufacturer is willing to supply x…

A: Given  5p2 - 2x2 = 27 where p is the price of a certain commodity in dollars per unit x is the…

Q: Suppose an Egyptian mummy is discovered in which the amount of carbon-14 present is only about…

A:

Q: Example 9: use Trapezoidal rule to approximate S,(x³ + 3)dx; n= 6, then %3D compare the result with…

A:

Q: Find the linearization of ƒ(x) = log3 x at x = 3. Then round its coefficients to two decimal places.

A: Given: f(x)=log3(x) at x=3