Find the extreme values of f on the region described by the inequality. f(x, y) = 2x2 + 3y2 − 4x − 7,    x2 + y2 ≤ 16

Q: find the absolute maximum and minimum values of ƒ on the region R. ƒ(x, y) = 4xy - x4 - y4 + 16 R:…

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Q: Find the area of the region bounded by the graphs of the given equations.   y=3−x2​, y=3-3x

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Q: .2 An inscribed rectangle is bounded by the x - axis and the semicircle y =V25 -x- What length and…

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Q: f(x) = 4x1/3 + x4/3 Find the area of the region bounded by the graph of the function f and the…

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Q: Find the extreme values of f on the region described by the inequality. (If an answer does not…

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Q: Find the extreme values of f on the region described by the inequality. (If an answer does not…

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Q: Is the solution region bounded or unbounded? - x+y 2 -6 x 2 - 10 x s 0 ys0 The region is V because…

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Q: The maximum value of the function f (x, y) = x2 + 2y2 - x in the region x2 + y2 < 1 %3D

A: Answer

Q: Find the extreme values of f on the region described by the inequality. f(x, y) = 2x2 + 3y2 - 4x -…

A: we use langrange multiplier method

Q: Find the extreme values of f on the region described by the inequality. f(x, y) = x2 + y? + 8x – 8y,…

A: Given function is f(x,y)=x2+y2+8x-8y Consider g(x)= x2+y2≤81 Let us find the gradient of the given…

Q: Find the area of the region between v= 4x - x2 and the x-axis from x = 0 to x = 4. 11 square units O…

A: Area of region can be determined using the formula given as     A = ∫ba y dx   ........(1)…

Q: Find the extreme values of f on the region described by the inequality. f{x, y) = e-Xy; x2 + 4y2 < 1

A: We will lagrange's multiplier here

Q: Find the area of the region bounded by the graphs of the given equations. y=1-x²,y= 1-4x The area is…

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Q: Find the area of the region enclosed by the graphs of given equations by partitioning the x-axis.…

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Q: 32/5 y=x² 32 Find the area of the region bounded by the graphs of y = x² and y = 4x. 64/3 32/3 64

A: The area between curves is the area between a curve fx and a curve gx on an interval a, b given…

Q: find the absolute maximum and minimum valuesof ƒ on the region R. ƒ(x, y) = 2x + 2y - x2 - y2 R: The…

A: Given f(x, y)=2x+2y-x2-y2. The maximum and minimum occurs at the critical points or in the…

Q: Q1: Find the area of the region between the curve y x-3x and the line y = x.

A: Let us consider the curve y=f(x) and y=g(x) between the interval [a,b] The area under the curve is…

Q: Calculate the total area of the region described. Do not count area beneath the x-axis as negative.…

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Q: solve the area of the region bounded by the two functions. y=-(1.6x+7.64)2 + 1.8 {-7.118<x<-2.278}…

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Q: The maximum value of the function f(x,y) = x² + 2y² – x in the region x2 + y? <1 zero -1/4 O 3/2 9/4

A: We have to find the maximum value of the function f(x,y)=x2+2y2-x in the region R: x2+y2≤1.

Q: 1. Find the area of the trapezoid that is the region bounded by the lines x = 1 and x = 3, the x…

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Q: a) Find the maximum percentage error in z if the percentage error in x is 1% and y is 2% given that…

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Q: Find the area bounded by the parabola x = 8 + 2y − y^2 and the y axis and the lines y=-1 and y=3

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Q: Find the area of the region described.   The region bounded by y=ex​, y=e−3x​, and x= ln4.

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Q: Of all points (x,y,z) that satisfy x+ y + 2z = 10, find the one that minimizes (x – 1) + (y – 1)² +…

A: Given: x+y+2z=10 and minimize function x-12+y-12+z-12.

Q: y = x2 − 2x,  y = 4x + 7 find area of region

A: y=x2-2x......(1)y=4x+7......(2) Solve the above equation, 4x+7=x2-2xx2-6x-7=0x=-1,7

Q: Find the area of the region between v= 4x- x2 and the x-axis from x = 0 to x = 4. 32 square units 64…

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Q: Find the area of the region bounded by the graphs of the given equations. y= 7x-x, y = 2x The area…

A: Given that, Two functions are, y = 7x - x2   and    y = 2x we have to calculate the bounded area by…

Q: Find h so that the area of the region bounded by the graphs of y=x, y=8x and y=1/(x^2) is equal to…

A: solution is given below

Q: Find the area of the region bounded by the graphs of the given equations. y = 81x, y = x°, x = 0, x…

A: y=81x →  f(x)=81x y=x5  →  g(x)=x5   x=0, x=3 This means we need to find Area between the above two…

Q: Find the area of the region bounded by the graphs of the given equations. y = 20x, y = x ... The…

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Q: Find the area of the region bounded by the graphs of the given equations. y = 6x-x², y = - 2x The…

A: The given curves are: y=6x-x2, y=-2x   Now find the point of intersection between the given curves.…

Q: Find the area of the region bounded by the graphs of the equations. y = x − x3, x = 0, x = 1, y = 0

A: We first sketch the region using a graphing calculator.

Q: Find the area of the bounded region enclosed by the curves y =x² - 4x and y = -x² + 2x. ..... The…

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Q: Determine the area of the shaded region bounded by y = - x² + 8x and y = x² - 4x. AY 30 20 10 0-20…

A: The equation of the curves are : C1: y =-x2+8xC2:y = x2-4x To evaluate : The area of the region…

Q: Given the region bounded by the graphs below, find the area of the plane region. y=4x-x^2 and y=x^2…

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Q: Calculate the total area of the region described. Do not count area beneath the x-axis as negative.…

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Q: A container is formed by revolving the region bounded by the graph of  y = x2 , and the x-axis, 0≤…

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Q: 2. Sketch out the possible solution area (shade the area). Label all corner points with an ordered…

A: From the given information, the constraints are, x+y≥1,4x+3y≤12,3x+y≤6,x≥0,y≥0.

Q: Sketch the region that corresponds to the given inequalities. 2x + 3y ≥ 6 2x − 3y ≤…

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Q: Calculate the total area of the region described. Do not count area beneath the x-axis as negative.…

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Q: 5. Region bounded by 1 y =-, y=0, x=1, and x =4 a. revolved about the x-axis b. revolved about y=-3…

A: Volume between y=1x and y=0 on interval 1, 4 about x=0The volume for solid of revolution between…

Q: Find the extreme values of f on the region described by the inequality. f(x, y) = 2x2 + 3y2 − 4x −…

A: Given: Th function is fx,y=2x2+3y2-4x-2 on the disk x2+y2≤16. Definition used: The Lagrange…

Q: Find the extreme values of f on the region described by the inequality. f(x, y) = e-XY; x2 + 4y2 s 1…

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Q: The region bounded by y = √x, y = 2, x = 0 about a. the x-axis b. the y-axis c. the line x = 4 d.…

A: Given: The curves are y=x, y=2, x=0. To find: The region bounded by y=x, y=2, x=0 about the…

Q: Find the extreme values of f (x, y) = x² + y² + 4x – 4y inequality x² + y? < 9. on the region…

A: We are given that f(x, y) = x2 + y2 +4x-4y  We have to find extreme values of f(x, y)  On region…

Q: 15. x² dA; R is the region bounded by y = 16/x, y= x, R and x = 8.

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Q: on Find the absolute minimum and maximum of the function f(x, y) = 2x¹ - xy² + 2y² the region 0≤x≤…

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Q: Find the extreme values of f on the region described by the inequality. a) f(x, y) =(x² +2y²)e*x+y…

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Q: 8. Minimize f(x, y, z) = x² +y² +2 Constrain x+ y+z-9=0

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