15. Which of the following quadratic functions has a root at | A. f(x) = 2x² + 5x + 3 %3D B. f(x) = 3x2 –- 7x – 5 C. f(x) = 3x² + 7x + 4 D. f(x) = 3x² – 7x – 4

Q: 2. Eliminate the arbitrary constant on the given equation: y = C₁e-²x + De4x

A: Given  y=C1e-2x+De4x

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Q: 1. A company manufactures and sells a televisions per month. If the cost and the revenue functions…

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A:

Q: +] has the general solution u(x, y) = e"[f(x)+g(y)] where f and g g are arbitrary functions

A: ∂2U∂xdy+∂u∂x=0let U(H.Y)=e-yf(x)+g(y)

Q: S¹₁₁ S1+₂x² x + 2y dy dx ·12x²

A:

Q: # 13) Find two positive numbers x and y for which 2x +y = 30 such that xy² is maximized.

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Q: In(ax) f(x) has a stationary point at Find a and b. bx 2' 3e,

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Q: 5. Eliminate the arbitrary constants from the relation y = Ae* + Bxe²*.

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Q: in an intramural basketball league for men, the gas 12-rizal has won 12 out of 25 games. express a…

A: they want to win 3 game in a row to meet 60% detailed solution with explanation is given below

Q: Find for following 1.y = (x + v3x)S

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 29. Given that V(-4, 5) is the vertex of the graph of a quadratic function y = f(x), and its…

A: The vertex form of a quadratic function is defined as fx=ax-h2+k Where, h, k is the vertex of the…

Q: Find two positive numbers x and y that minimize the product xy, and satisfyx + 4y = 120.

A:

Q: B. Solve the following LP algebraically. а. Max Z= 150X+ 160Y subject to: X+ Y 20 Y> 15 Χ. Y>0 b.…

A: We solve the first two problem by simplex method. In this problem we first transform the problem…

Q: If find the value of a. 3 S₁ S² (x + 2y) dydx = 10, 0 a

A: Given: ∫01∫a3(x+2y)dydx

Q: 7. Given the profit function P(x) = 500x –- where 100 x is number of units sold. Find x to get…

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Q: Find the minimum value(s) of the function f(x) = e* – 2x

A: NOTE: Refresh your page if you can't see any equations. . take derivative

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Q: In a certain chemical manufacturing process, the daily weight y of defective chemical output depends…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  where x=total…

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Q: What value of b >-1 maximizes f(b) = J - x) dx!

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Q: 12. If f(x) is a non-constant linear fucntion and g(x) is a quadratic function, then what type of…

A: f(x) is linear function so f(x) can be expressed as  f(x)=ax+b, where a≠0 and b are constants. g(x)…

Q: The cost C of building a house is related to the number k of carpenters used and the number x of…

A: The solution for the above question is as shoewn below.

Q: Find the minimum and maximum values of the function subject fCx.y) =6x?+Sy? to the given Constreant…

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Q: 5. Find each of the two areas bounded by the curve y = x3 – 4x and y = x² + 2x. Solve in two ways.

A: Consider the two curves: y=x3−4x and y=x2+2x. The area of the region bounded in interval x∈a,b by…

Q: Find the optimal values ​​of the function f (x, y) = 4xy + 5. Subject to the restriction x ^ 2 + y ^…

A: Consider the objective function as fx,y=4xy+5 subjected to restriction equation x2+y2=18. Let the…

Q: Given the quadratic function g(x) = x² + 4x – 4 union, -INF for -∞ , and INF for 0ó. and its graph,…

A: Definition used -                   A function is positive when the graph of the function above the…

Q: With y=c1.x2+k curves and curves x2+2.y2-y= c2 intersect perpendicularly. Where C1 and C2 are…

A: Given two curves are y=c1x2+k   and x2+2y2-y=c2  , where c1 & c2 are arbitrary constants. Let us…

Q: = -x2-2x+2 and C(x) x2 + 0.5 = 4 C(X) R(x) 1 -2 -1 1 2 The profit, or the area enclosed between the…

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Q: Find a quadratic function f whose graph matches the one given.

A: Find a quadratic function f whose graph matches the one given.

Q: 4. The quadratic function f(x) has a turning point at (-3,6). The quadratic y=÷f(x)+3 would have a…

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Q: A particular solution of x¨ − 3x˙ + 2x = t2 + 1 is given by

A: given that x''-3x'+2x=t2+1. we need to find the particular solution for the given differential…

Q: 2) For over 20 years, the population of Tressel, Ohio has been increasing linearly according tothe…

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Q: Solve the following optimization problem by using Lagrange method: Maximize f(x,x;)=2x, + x, – 3x²…

A: Lagrange Multiplier Method:- This method is used to optimize a function on a region that contained…

Q: dy 1. Determine the general solution of x = 2 – 4x3

A: since u have asked multiple question in a single request so we will be answering only first…

Q: Match the exропent equality to the correсt solution for x. 1. 27*-3 3* а. х — —4 2. 5-5 = 5 b. х — —…

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Q: Assume that C(x) is in dollars and x is the number of units produced and sold. For the total-cost…

A: Total Cost function is given as , Cx=0.01x2+0.6x+20 find ∆C and C'x when x=40 and ∆x=1.

Q: 30. The graph of y = x³ + 21x² – x + 1 is concave down for (a) x 7 (e) x 7.

A:

Q: 10. Find the particular solution that satisfies the initial condition. xy'+ 2y = 3x² – 5x. Initial…

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Q: In a certain chemical manufacturing process, the daily weight y of defective chemical output depends…

A: First find the revenue and the cost then find the profit function by subtracting the revenue with…

Q: Solve the following optimization problem (using second order conditions to confirm your…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Find the maximum or minimum value of the function. f(s) = s2 - 1.2s + 16

A: f(s)=s2-1.2s+16Formula for the equation isf(x)=ax2+bx+cx=-b2aSo, s=-(-1.2)2  =0.6

Q: Graph the function for the glven domaln. y = 2x D-2,0,2, 4 20 16 12 -8 -12 -16 -20 -n 4. -2 -1 0 1 2…

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Q: If 0 = KHLV-, where k is a constant, and there are possible errors of ±1 per cent in measuring H, L…

A: We will find out the required value.

Q: The function v= xex is a particular solution of y' + 2y – 3y= 4e*.

A: To check if  y = x ex is  particular solution of y'' + 2y' - 3y = 4 ex