Given that f(x) = 9x - 7 and g(x) = 3 - x, calculate %3D (a) f(9(0)) = %3D (b) g(f(0)) = N Vid e 2 V Mossage

Q: Suppose that a political campaign by Loki estimates that the candidate's polling percentage y and…

A: (a) We have y = e0.3x+(5ln x)2 Here we need to find the value of x when y = 2%

Q: A certain species of fish is to be introduced into a lake, and wildlife experts estimate the…

A:

Q: Find the general solution of each ff Higher-order DE using Reduction of Order  1. (2D2 + 3D -2)y=0

A:

Q: 20. In "x" years from now, one investment plan will be generating profit at the rate of R₁ (x) = 50+…

A: Given: R1x=50+x2R2x=200+5x

Q: The particular solution of y+y-2y = e?x is

A: To find The particular solution of the given D.E.

Q: The demand function for a certain product is  p = 121 − x2  and the supply function is  p = x2 +…

A: Solution:  The demand function for a certain product is    p = 121 − x2  and the supply function is…

Q: Given the profit function P(x) = 1.3x – 0.01x² – 30, find the value of x at the function's optimum…

A:

Q: Suppose the amount of a certain drug in the bloodstream is modeled by C(t)=8te-0.2t ,then the…

A:

Q: Find the consumer's surplus if the demand for an item is given by D(x) = 72- x, assuming supply and…

A: solve the following

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

A: According to question given thatC=0.001x3+9x+128We have to calculate the number of units that…

Q: Between 2005 and 2009, the percentage of people who own a home has changed drastically from state to…

A:

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

A:

Q: Find the general solution using variation of parameters. y" – 4y + 4y = (x + 1)e²"

A: Given differential equation is, y"-4y'+4y=x+1e2x The auxiliary equation is, m2-4m+4=0m-22=0m=2,2…

Q: Find the General Solution: y" - 3y' + 2y =e*

A:

Q: A cadet engineer works in a manufacturing company that makes floats for ABC commodes. The floating…

A: Given the function fx=x4-8x3-35x2+450x-1001. The root will be given by x4-8x3-35x2+450x-1001=0.…

Q: 9. Find the point of diminishing returns (x, y) for the function R(x) = 11,000 – x + 42x² + 800x,…

A: We have to identify the point of diminishing return for the input-output function. For each…

Q: the radiator in a car is filled with a solution of 60% antifreeze and 40% water. the manufacturer of…

A: In a 3.6 L radiator, the quantity of antifreeze is given by: In a 3.6 L radiator, the quantity of…

Q: A cadet engineer works in a manufacturing company that makes floats for ABC commodes. The floating…

A: Solution

Q: Find the relative maximum and minimum values. f(xy) = e 6x2 + 4y2 + 8

A:

Q: Find the supply function x = f(p) that satisfies the initial conditions. dx 16 x = 180 when p = $5…

A:

Q: 49. Profit If the profit from the sale of x units of a product 200 x, what level(s) of production is…

A: Solve 49

Q: In a community in which R elderly people and people with comorbidities are susceptible to a…

A: To determine the percent of susceptible that had been infected after 6 weeks.

Q: Find the general solution using variation of parameters. - 4y + 4y = (x + 1)e²-

A: To solve the following problem

Q: Find the general solution of the following using the method provided: 3. Variation of Parameters y"…

A:

Q: xy' – y = 2x lnx

A:

Q: V Solve usinog variaton of parameters or reduction of order (D²- 2D+1) y = e2"(e*+1)?

A: Solve by using variation of parameter  find auxiliary equation and then find wronskian and put in…

Q: Suppose that a political campaign by Loki estimates that the candidate’s polling percentage y and…

A: The candidate’s polling percentage is denoted by 'y'.The amount is denoted by x (in hundred…

Q: When no more than 110 units are produced, the cost of producing y units is given by C(x). C(x) =…

A: Given problem is :

Q: The Cost function C(x) and the Revenue function R(x) of a firm are given by C(x) = 4x +1200 and R(x)…

A: Given that the cost function Cx=4x+1200 and the revenue function is Rx=10x. We have to find the…

Q: Use the IVT to show that e−x2 = x has a solution on (0, 1).

A: Given equation is

Q: The radiator car is filled with a solution of 65% antifreeze and 35% water. The manufacturer of the…

A: The capacity of the radiator is 3.9L.Let x be the amount of coolant to be drained.

Q: A fast food restaurant hos a cost Production C(x) = ||x+120 and arevenue function R (x) = 5x,When…

A: Consider the profit function is P(x)=R(x)-C(x) when this function is more than 0 then company makes…

Q: Find the general solution to: 3X y^ - Gy' +Qy= x*e*

A:

Q: Obtain the general solution using variation of parameters. (D^2 − 1)y = e^x + 1

A:

Q: The city of Anville is currently home to 29000 people, and the population has been growing at a…

A:

Q: A national fast food company has just analyzed the effect of the latest sales promotion. It has…

A: Given : S = 305,000 e- 0.4x

Q: The​ half-life of polonium is 139​ days, but your sample will not be useful to you after 91​%of the…

A:

Q: Determine the general solution of y" - y = 0 given y₁(x) = e-2x using reduction of order

A:

Q: According to a study conducted in 2003, the total number of U.S. jobs (in millions) that are…

A: Given Plugging t=5, Therefore the projected number of outsourced jobs for 2005 (t = 5) is 80…

Q: Given the profit function P(x) = 1.3x – 0.01x² – 30, find the value of x at the function's optimum…

A: The profit function is: P(x)=1.3x-0.01x2-30

Q: he​ half-life of polonium is 139​ days, but your sample will not be useful to you after 83​%of the…

A: The given data is: The​ half-life of polonium is 139​ days but your sample will not be useful to you…

Q: Find the value of x for which the marginal profit is zero. C (x) = 2x, R(x) = 6x – 1,000

A:

Q: . A woman saved GH¢ 30,000 in a bank A, whose rate was x % per annum and GH¢ 20,000 in another bank…

A:

Q: The average cost function for the weekly manufacture of retro portable CD players is given by C(x)…

A: Given, function is

Q: Find the average cost function if cost and revenue are given by C(x) = 142 + 5.4x and R(x) = 8x -…

A: Given :

Q: If the average cost per unit C(x) to produce x units of plywood is given by C(x) = 300/x+10 , what…

A:

Q: determine the general solution of y''-y=0 given y1(x)=e-2x using reduction of orders

A:

Q: -13x b) y = S dx Integrate. x2-5

A: Explanation is given below..

Q: OBTAIN THE GENERAL SOLUTION (x - 1) dx - (3x - 2y - 5) dy = 0

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.