If f(x)=4x2 - 5x + C and f(1)=13, find the value of constant C

Q: Show that the equation f(x) =x+3x-1%=Ø %3D has at least one solution,

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Q: The cost and revenue functions for a certain firm are given by  C(x) = 15x + 36,000  and  R(x) =…

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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: I know this question was already asked and answered, but the answer is incorrect, please help!   A…

A: Given data C(x)=13x+108,  R(x)=7x.

Q: Solve for x and y simultaneously: x-2y -3 and y320

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Q: for the function f(x)=x2+2x-3  solve f(x) is less than or equal to 0 to find the solution

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Q: (x3-2x2+1)dx (x2-2x+5)2

A: Let I=∫x3-2x2+1x2-2x+52dxx3-2x2+1x2-2x+52=a1x+a0x2-2x+5+a3x+a2x2-2x+52Multiply equation by the…

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 108x2/3 −…

A: R=108x2/3-6x

Q: If f(x)=4x2-2x+3 solve f'(x)=28

A: We first find f'(x) using exponent rule: [d/dx(x^n)= n*x^(n-1)]

Q: Suppose that the cost of producing x apple is c(x) = 2000 + 100x - 0.1x^2. Find the

A: Given: cx=2000+100x-0.1x2

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: solve for the function, x^3- 0.03x^2+2.4x10^-6=0, assuming stopping criterion of es=0.1

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Q: If F(x) = x2 - 3x + C and F(-1) = 4, what is the value of C?

A: Given: Fx=x2-3x+C  and F-1=4

Q: to the equation (D²-1)y(x) = x'-x+1 y(x) = qe" +ce" +x-5x+1 -t yx)=ge" +ce --5x-1 - y(x)=qe'…

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Q: If Q(x) =  x^3 − 25x + 100 is the cost per item of producing x-items. Is the cost per item…

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Q: use Separation of Variables to find the general solution. y' + x2y = 0

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Q: The supply equation for the BWS Bluetooth wireless loudspeaker is p = 0.025x + 90 where x is the…

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Q: If f (x) = 2x2 - 5z, solve f (x – 2). %3D

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Q: Given f(x) = 5x – 3, solve for x when f(x) = 7. | %3D

A: We have to find

Q: At what point will f(x) = 2x+1 andf¯1 intersect each other?

A: Topic - functions and inverse function

Q: Consider the linear equation 3(x+1) = 3x + 3 Is x = -3 a solution to this linear equation?

A: Given data,                   3  x + 1  = 3 x + 3

Q: When no more than 110 units are produced, the cost (in dollars) of producing x units is given by…

A: Given: C(x)=0.2x3-25x2+1531x+25000

Q: solve in R the inequation Vx +4 < x + 2

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Q: 6). Solve xdy- yk -0 x +y* xdx + ydy +-

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Q: Solve for f(2) f(x)=-3x+3 f(2)=?

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Q: Find the general solution of the equation: xy – y = x²e=x (x > 0)

A: find the general solution of the equation xy'-y = x2e-x (x&gt;0)

Q: The constant term of f(x)=x2+4x3+1 is 1. How can you say that 1 is the constant term?

A: fx=x2+4x3+1

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

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Q: By using (fixed point itration), Find a solution for f(x) = x3 + x - 1 = 0

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Q: Is function  y=x2 a solution for equation of (1-x3)y'-2x+x2y+y2=0? If it is, find the solution.

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Q: 16 Solve the equation for for y 3rex 1 r2 x - 0

A: 3xex+x2ex=0

Q: If a company has a total cost C(x)= 18,000 +15 X +0.1 X^2 and total revenues given by R(x) =…

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Q: The value of x which satisfy 3x + 1| < - is : 5.

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Q: The net profit in dollars per day for a small business owner is given by the equation f (x) = -0.1x²…

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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: In order to solve the equation 2x + 7 = -x + 1, a student graphs two functions, f(x) and g(x). f(x)…

A: We can find the answer as below.

Q: Consider the linear equation: 3(x+1) = 3x + 3 Is x = -3 a solution to this linear equation?

A: Given equation is, 3(x+1) = 3x + 3

Q: An animal feed company must produce 200 kg of mixture consisting of ingredients x and x2.x costs 3…

A: we will first formulate the LPP using the given statements and then we will find the optimal…

Q: Find f by solving the initial value problem. f '(x) = 9x2 − 12x, f(2) = 6

A: Given   f1(x) = 9x2-12c  f(2) = 6

Q: Show that the equation 2/x– 1– Vx = 3 has a solution.

A: Equation is 2x-1-x3=3

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 number of units X that produces a maximum revenue R in the given equation. R= 36x2/3 -2x

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Q: Solve graphically:  x + 4y = − 122x + y = 4

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Q: 2. If f(x) = |x|- 2 is translated -5 units horizontally and +3 units vertically, what would be the…

A: The function is given by fx = x-2 To evaluate: The new equation obtained when the function fx is…

Q: 1.) The cost of producing and shipping x squeaky dog toys per month is given by the function C(x) =…

A: Since t=you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Use variation of parameters to solve y'' - 7y' +10y= e^2x.

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Q: Find the point on the graph of the equation f (x) = x² – 8 that is closest to the point (0, -2)

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

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Q: Suppose the manufacturer of staple machines has found that, when the unit price is $x the revenue y…

A: If a×b=0, using the zero-factor property, it can be written that a=0 or b=0. If -p&gt;0, then…

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.