The function f(x,y) = 4xy has an absolute maximum value and absolute minimum value subject to the constraint 3x² + 3y² - 5xy = 121. Use Lagrange multipliers to find these values.

Q: Find the intersection point of the line 3x – 2y = 0 and the line passing through (-1, 0) and…

A: equation of one line 3x-2y=0 And second line passing through (-1,0) and is vertical (perpendicular)…

Q: We called a nonlinear dif ferential equations if the dependent variables and their derivatives are…

A: Given below the detailed solution

Q: Which function shown below would not have its equatic (3))=x-4 (4) y = x² - 6 (1) y=10-2x (2) y =…

A: To reflect the graph of f(x) about y-axis we change the coordinates of graph of f(x) from (x,y) to…

Q: *Suppose you have a budget of 400 dollars for one month. You would like to buy some textbooks and…

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Q: Find solution using graphical method MAX Z = 5X1 + 4X2 subject to X1 - 2X2 = 3 and X1,X2 >= 0

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Q: A company operates two plants which manufacture the same item and whose total cost functions are C₁…

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Q: Why is x+9y^2 =1 not a linear equation?

A: The given equation x+9y2=1

Q: Which of the following equations have x-intercepts at (-9,0) and (-3, 0) Ov = (2 - 3) (z - 9) %3D…

A: To find the equations that have x-intercepts at (-9, 0) and (-3, 0)

Q: total commercial flight times between two cities (for jets) can be modeled by the following linear…

A: The regression equation is used to predict the value of response variable using the value of…

Q: The equation of OP is (x- 3)+ (y- 1)²=9. Without graphing, explain how you can determine whethen che…

A: Given equation of circle is, x-32+y-12=9

Q: Find solution using graphical method MAX Z = -2x1 - x2 subject to -3x1 - x2 = 0

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Q: Solve (D2+20D+200)y = 10 O y = e-10x (c₁sin10x + c₂cos10x) + 20 Oy=e-10x (c1sin10x + c₂cos10x) +…

A: Given

Q: 2. (LI-2) Consider the equation r2y" - xy + y = 0. It is given that y₁ = z is one solution to this…

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Q: The population of an endangered species of rhinos in 2002 was estimated to be 192,699 rhinos. By…

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Q: An equation in general form for the plane passing through the point (-5, 0, 2) that is perpendicular…

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Q: L-L-2) Example 15 Plug (-2,- Find the equation of the line: awith gradient-2 and passing through…

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Q: The weekly profit (in dollars) from the sale of two products is given by P(x, y) = 70x + 90y - x² -…

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Q: 8. A curve whose slope at any point is 6x² А. у %3D 2х3 — х? +х+6 - 2x + 1 passes through the point…

A: We need to find equation of curve.

Q: 2. Two mobiles move in the same direction along the line of equation x + 3 y + 10 z - 10 -20 10 20…

A: Given- Two mobiles move in the same direction along the line of the equation  x + 310 = y + 1020 = z…

Q: The standard form of the equation of a line going through (3, -3) and (0, 2) is: 5x - 3y + 6 = 0 Oy…

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Q: Example: Solve xy(2dx+ dy) = 2(3xdx+ ydy)

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Q: A company produces two types of solar panels per year:x thousand of type A and y thousand of type B.…

A: Given that,

Q: The graphs of the equations (x - 3)2 + (y - 5)2 = 10 and x2 + (y + 1)2 = 25 intersect %3D at

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Q: -ប៉ា + w Oy F= 2(x-G)y Oy + F = 2(x + G) Oy-G=-=-1(x-F) 2 Oy - G=-1¹(x+F) 3 2 T 0 -1- --2+ -3 5 2 3…

A: Given that Leo drew a line that is perpendicular to the line shown on the grid and passes through…

Q: Imagine (x, y) = (-24, -32) is a point within a 2D object. If the object is scaled by a factor of…

A: Topic- scaling

Q: Two objects, A and B, are moving along two different straight lines at constant speeds. With…

A: Given: The position of A at the time t (in minutes) is 4t+2, t-1. The position of B at the time t…

Q: A straight line has a gradient of -3 and passes through the point (6,1). What is the equation of the…

A: Given that gradient of the line (slope) as m=-3 at point 6,1. We need to find the equation of the…

Q: 17. Foci: (7, 7), (1, 7); Major axis of length 10 (xー7(y-4) (y-4)° [A] =D1 16 25 (x-7)* , (v-4)° _…

A: given foci: 7,7 , 1,7; major axis of length 10 we get 2a=10⇒a=5 now, finding the centre  h=7+12  =82…