A fast-food restaurant has a cost of production C (r) = 12x + 95 and a revenue function R(r) = 7x. When does the company start to turn a profit? %3D Enter the exact answer. If there is no solution, enter NS. If there is an infinite number of solutions, enter IS.

Q: Find the general solution using the method of undetermined coefficients. / x" – 4x =t² + 17t

A: Solution:

Q: B1(b): Solve the initial value problem : f' (x) = x12 – 4x4 + 12x + 13 and f(0) = 2.

A: The given differential equation is f'x=x12-4x4+12x+13 and the initial condition is f0=2. Solve the…

Q: (D² + D)y =x+| ;

A:

Q: show that the 2x2-y2=C is a solution to yy'-2x=0.

A:

Q: B1(b): Solve the initial value problem : f'(x) = x° + 12x + 13 and f(0) = 3.

A:

Q: A fast-food restaurant has a cost of production C (x) = 12x + 132 and a revenue function R(x) = 6x.…

A:

Q: Find the general solution for: y'' - 4y' - 5y = -6xe(-x)

A: We need to find the general solution for y'' - 4y' - 5y = -6xe(-x). ---------(1)Idea: First, we will…

Q: 3. Solve for the root(s) of the equation f(x)=3x³-4x²+8x+4

A:

Q: Find the general solution of (D3 – 2D2 + D)y = x

A: (D3-2D2+D)y=xlet D3-2D2+D =0D(D2-2D+1)=0D(D-1)2=0 D=0 or D=1,1Therefore C.F.=C1+C2ex+xC3exnow we…

Q: Find f by solving the initial-value problem. f'(x) = 7e* – 6x³, ƒ(0) = 5 -

A:

Q: A fast-food restaurant has a cost of production C(x)=12x+140 and a revenue function R(x)=5x. When…

A: To find the time when company starts to earn profit. Company will earn profit when revenue is more…

Q: Find the general solution of (D3-D2+D-1)y = 15sin2x using method of undetermined coefficient.

A:

Q: Find the general solution y''-y'-2y=0

A: Given the differential equation y''-y'-2y=0. We need to find the general solution of the above…

Q: The profit function of a company is P(x) = -3000x² + 600x – 450, then the fixed cost of the company…

A: Clearly we can see that, Constant term in the expression of P(x) is (-450).

Q: dP/dt = P - P2 ; solve by seperation of variables.

A: It is required to solve the given differential equation using separation of variables. dPdt=P−P2

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 72x2/3 − 4x

A:

Q: find the (general and especial) solution of y" - y' - 12v = 3x2 + 1 *

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Q: 4y = 2x +3

A:

Q: B1(b): Solve the initial value problem : f'(x) = x° + 12x + 14 and f(0) = 2.

A:

Q: Eliminate the arbitrary constants of the general solution: В y = Ax3 + + CVx x2

A:

Q: 3. Find all solutions to the equation (D² + 1)²D² f(x) = 0.

A:

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 36x2/3 − 2x

A: In the question it is asked to find number of units that produces a maximum revenue R of equation.

Q: Solve 3x + 2y > 6 graphically.

A: Shaded area below is the graphical solution.

Q: During a nationwide program to immunize the population against a new strain of the flu, public…

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Q: Find the solution. 6y-2y = xy (x-1)+e B -1)-a

A: Solution

Q: A fast-food restaurant has a cost of production C (x) = 12x + 95 and a revenue function R(x) = 7x.…

A: Given cost function is Cx=12x+95 and a revenue function is Rx=7x. The profit function is given by…

Q: A fast-food restaurant has a cost of production C (x) = 12x + 88 and a revenue function R(x) = 8x.…

A:

Q: Solve for t. 4 - 1 - 1 =D4 - 3 -3

A:

Q: B1(b): Solve the initial value problem f'(x) = x11 + 12x + 14 and f(0) = 2.

A:

Q: a. Solve x2 + 2x-y+1%30 and x + y-1=0 using Elimination Method

A:

Q: A fast-food restaurant has a cost of production C(x)=13x+90 and a revenue function R(x)=8x. When…

A:

Q: A fast-food restaurant has a cost of production C(x) = 12x + 126 and a revenue function R(x) = 5x.…

A: The profit function is the difference of the Revenue function and the Cost function. The company…

Q: The domain of a quadratic function is all real numbers and the range is y ≤ 2. How many x-intercepts…

A: We are given the range of quadratic function y less than equal to 2. It means parabola is downward…

Q: Solve the initial condition problem: f"(x) = 60x³ + 24x², f(2) = 239, f(-3) = 254

A: f''x=60x3+24x2 take integration  ∫ f''x=∫ 60x3+24x2dx f'x=∫60x3dx+∫ 24x2dx f'x=60x44+24x33+C…

Q: Find the general solution and particular solution (2X-リ メ

A: Given:     2x-1y''-4xy'+4y=2x-1x2

Q: A fast-food restaurant has a cost of production C(x) = 14x + 160 and a revenue function R(x) = 6x.…

A: Sol Cx=14x+160,R(x)=6xHence , Profit Function P(x) = R(x)-C(x)

Q: b. Solve y = -x³ + x² + x- 3 and y = x-3 using Substitution Method. I

A:

Q: A fast-food restaurant has a cost of production C(x) = 14x + 108 and a revenue function R(x) = 82.…

A:

Q: A fast-food restaurant has a cost of production C(x)=11x+95 and a revenue function R(x)=6x. When…

A:

Q: Find the general solution (D3-3D2-3D+1)y = 0

A:

Q: Solve dʻy - 2x- xe 2x– xe dx² by using the undetermined coefficient method.

A:

Q: c. Solve x2 + 4x-y+3 = 0 and x-y+7 = 0 using any of the two methods.

A:

Q: Solve f(x)=2x2+7x-4 and select all of the solutions below. C%3D X=-4

A: Given: f(x)=2x2+7x-4

Q: B1(b): Solve the initial value problem f'(x) = x° + 12x + 14 and f(0) = 2.

A: Solution:Given     f'(x)=x9+12x+14  and f(0)=2Formula:∫xndx=xn+1n+1+C

Q: Find the general solution of: x² = y² QY_ dr

A: We have to find general solution of given differential equation.

Q: Find the general solution of (2x –y) = 2y – x

A:

Q: Find the General Solution: y" +y' - 6y = 2x

A: The given equation is a second order linear differential equation having constant coefficients. The…

Q: Find the general solution for y' = y – xy³e-2x

A:

Q: find the solution of y''-2y'=x - e^3x

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.