Bob owns a watch repair shop. He has found that the cost of operating his shop is given by c(x)=4x2−400x+55, where c is cost and x is the number of watches repaired. How many watches must he repair to have the lowest​ cost?

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

A: Solution:

Q: Find the general solution  y ′ + 4ty = ty2 + t

A: Given differential equation is  y'+4ty=ty2+t to find the general solution of this equation

Q: Why is 2 the only solution for |x - 2| ≤ 0?

A: Given: |x−2|≤0

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A:

Q: to produce x t-shirts costs C(x)=4x+55 revenue is R(x)=18x where C(x) and R(x) are in dollars. a)…

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Q: Find the general solution  (D2 − 2D − 3)y = 0 when x = 0, y = 0, y′ = −4

A: The given equation is,D2-2D-3y=0with the initial condition,x=0, y=0, y'=-4

Q: Q6. Find the general solution using variation of parameters of y" + 4y = 8tant

A: We have to find the general solution of the given differential equation. For this, we will consider…

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A:

Q: Solve for the general solution d. (D² + 1)y = secx cscx

A:

Q: solve for x the equation 4y = 3x2 + 2x – - 5

A: The given equation,     4y=3x2+2x-5

Q: solve for x the equation 4y 3x2 + 2r - 5

A:

Q: What is the general solution of the equation y '(t) = 3y - 12?

A: We first separate the variables

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A: Given: Cost function C(x) = 125x + 750 and sell for $375 per carton

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A:

Q: dy = 6x(y – 1)2/3. dr

A:

Q: Solve the equation for x. a2x2 + 2ax + 1 = 0 (a ≠ 0)

A: We have to solve the equation for x: a2x2+2ax+1=0 a≠0 Rewriting the quadratic equation,…

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

A:

Q: The revenue for selling x units of a product is R = 150x. The cost of producing x units is C = 125x…

A: Given: The revenue for selling x units of a product is R = 150x. The cost of producing x units is  C…

Q: Find the general solution of tx -3x = t³+2t for t> 0.

A: Given DE is  tx'-3x=t3+2t .......(1) We find the general solution of (1).

Q: Find the solution (D3 + D2 − 4D − 4)y = 8x + 8 + 6e-x

A: The given problem is to find the solution for the given non homogeneous linear differential…

Q: g(r) = 9x+9x-25x3-25r?

A: 5) g(x)=9x5+9x4-25x3-25x2  a) leading coefficient is 9( positive) and   degree is 5(odd)⇒g(x)→∞ as…

Q: Solve for x:   X+b / a = 4x - 7a/b

A:

Q: Obtain the general solution: 1. (D² + 6D + 9)y = 18e 3* -3x

A:

Q: The revenue for a company producing friendship bracelets is given by f(x) = -15x2 - 30x + 200 %3D…

A: Given:- Revenue function f(x) = -15x2-30x+200 Cost function y=5x-12 x is price in dollars for each…

Q: b. Solve y = x² + 1 and 2y = 3x+ 4

A: Solve by eqn

Q: What is the positive solution of x2 – 36 = 5x?

A: We have to find solution for given equation ...

Q: Obtain the general solution: 1. (D² + 6D + 9)y = 18e 3x

A: The given differential equation, D2+6D+9y=18e-3x.....(1) is a non-homogeneous linear differential…

Q: Evaluate Solve y'' - 2y' + y = e^2x by using variation parameters

A: Idea: solving by using method of variation of parameters

Q: dx x2V9-x 2. S(6x³ + 3x?) e*4x d=

A: Only I do que 1 and 2

Q: the owner of a video store has determined that the cost C, in dollars, of operating the store is…

A:

Q: Ef(x) = x² + 2x – 6find 7(x+h)-f(x) h = 0

A:

Q: (5) The profit for Cocoa Board cocoa beans is given by Π(x)= −15x^2 + 180x − 405 thousand…

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: (a) How many tonnes must be sold for to not make a loss?

A:

Q: y5 + 2y3 +2y" = 2x2-3 find the particular solution using undetermined coefficients

A:

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A: QUESTION- Find the complementary solution:   (D^3+D)y=x

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A: Given that Rx=9x+0.073x2Cx=1950+8x

Q: e general solution of y6) + 4y(4) + 3y" = 0 ?

A:

Q: Find the general solution 5. (D² – 1)y = 0

A:

Q: Producing x footballs costs C(x) = 2.5x +500. If each football sells for $22.50, determine the…

A: Let x be the number of quantity.The selling price of the footballs is P(x) = $22.50x.And the cost…

Q: dx =+c 6. 2.

A: We can solve the given problem as follows:

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

A:

Q: Q8. Solve y() +3y" - 4y x + e2x.

A:

Q: Obtain the general solution to (D2 + 1)y= secCxcscx

A:

Q: Dľhe total costs for a company are given by C(x) = 2000 + 40x + x? and the total revenues are given…

A:

Q: A potter makes bowls and has estimated that the cost C (measured in dollars) of making x bowls is…

A: topic - equation in one variable

Q: a) solve for x when |9xl-11=x (b) x+6|<3

A:

Q: Q4) y" + 9y = x Find the general solution

A:

Q: Find the general solution 4. (D2 – 9)y = 0 - %3D

A: We are authorized to solve only one question, please repost remaining questions Differential…

Q: ES dx = 4x + C

A: