Find the extreme values of f on the region described by the inequality. f(x, y) = x2 + y2 + 6x − 6y,    x2 + y2 ≤ 49

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: 6. Region bounded by y=Vx, x=0, and y=2 a. revolved about the y-axis b. revolved about x=-2 c.…

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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: Find the area of the region bounded by f(y) = y/square root(16-y^2), g(y) =0, and y=3. a.) Find the…

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Q: Can i get help step by step?

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Q: Let f(x, y) = x² + y² – x – y – xy +2. Let D be the region in R? enclosed by the triangle with…

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Q: 2. Graph the region satisfying the inequality a) z+y S4 b) -1> 2y. You must show graphs.

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Q: Let f(x,y)=−5x^2−5y^2+3/2x. Let R be the region bounded by the curve x=25−y^2−−−−−−√ and the y-axis.…

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Q: Sketch the region that corresponds to the given inequalities. −9x  +  3y  ≤  7 9x  −  3y ≤ 8 x     ≤…

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Q: A solid is formed by rotating the area bounded by x^2 + y = 6 and y = x above the line y = -3. Use…

A: given curves are                                                  x2+y=6y=xy=-3

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: F(x)=-4cosx g(x)=2cosx+3  for 0<x<2pi   Shade the region on a graph bounded by the graphs of f…

A: Given functions are

Q: A gardener will use up to 220 square feet for planting flowers and vegetables. He wants the area…

A: Given that a gardener will use up to 220 square feet for planting flowers and vegetables.

Q: -α- -β- -γ- -λ- -θ- -η- -ω- 4 4 8 2 7 3 0 you should use this table values on the…

A: Given fx=7x5Volume of solid generated by revolving out the interval x1,x2is given by V=∫x1x2πfx2…

Q: Consider two nonnegative numbers x and y such that x + y = 12. Find the values of x and y that…

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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: f(x) 7xe-x, y = 0, 0 <x < 1 ketch the region bounded by the graphs of the equations. 3- 2- y 3

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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: Evaluae the double intergal for the function f(x,y) and the given region R f(x,y)=7xe^-y^2; R is…

A: Note: In the solution, the notation D is used for region R

Q: The base of a three-dimensional figure is bound by the x-axis and the curve y = e^ on the interval…

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Q: Find the absolute maximum and minimum values of f(x, y) = y² + x² – 8x + 9 on the set D where D is…

A: Given the function fx,y=y2+x2-8x+9 on the set D where D is the closed triangular region with…

Q: Find the volume of the solid obtained by rotating the region underneath the graph of the function…

A: Given:    f(x ) = x2+25   limit : [ 0 , 1 ]

Q: f (x,y) = x² – 3y² + 2xy +x +3 function R = {(x, y) : x <0, y < 0, x + y 2 –5}

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Q: The base of a solid is the region bounded by the graphs of y=3/3x and y=x². (a) Find the volume V of…

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Q: Find the centroid of the thin plate bounded by the graphs of g(x) = x² and f(x) = -x + 30. Use the…

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Q: Find the area of the region bounded by the graphs of the given equations. y = 16x, y = x", x = 0, x…

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Q: Find the area of the region bounded by the graphs of the given equations. y%3 5x- x, y = - 2x The…

A: Given query is to find the area bounded by the graph.

Q: A torus is formed by revolving the region bounded by the circle x2(squared) +y2(squared) = 4…

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Q: c. f y dA the region is bounded by the graphs y = -v-8x – x² ; y = -V-4x; x = 0 and x = -4 for {x…

A: To evaluate ∬ydA, the region is bounded by the graphs y=--8x-x2 ; y=--4x ; x=0 &amp; x=-4 for…

Q: Find three positive numbers x, y, and z that satisfy the given conditions. The sum is 8 and P = xy'z…

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Q: R is the region bounded by y= sqrt x , and y= 6-x and the vertical y-axis. Q is the region bounded…

A: We have to Sketch the both region on the graph

Q: 9) Given the finite region f(x)=- x=1, x=2 Vx a) Find the area of the region b) Find the volume if…

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Q: 3. The diagram on the right shows an open box with a square base of side x cm and a height of h cm.…

A: a)Area of the box (A)=x.x+2xh+2xhA=x2+4xh75=x2+4xh  [Since A=75 cm2]75-x2=4xhh=14x75-x2Volume of the…

Q: Find the absolute extrema of the function over the region R. (In each case, R contains the…

A: First of all find the critical points of given function to determine maxima.

Q: The finite region bounded by x=y^2 and x=6-2y^2 rotated around the line x=8.

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

Q: Find the absolute extrema of f(x,y)=xy−x−y on the region R, where R is a triangle region with…

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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 region described. The region bounded by y= |x-12 and y = 3 The area of the…

A: Plot the st. lines and find the region enclosed by the st. lines. Triangle ABC is the region…

Q: Find the area of the region described. The region bounded by y=e^x​, y=e^(−4x)​, and x=ln 4

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Q: near map defined by T(x,y,z)=(x+2y-Z,y+Z,z+y (3,-1,1)} | ER |x+2y - z=0} oices in the list is…

A: We have to choose the correct answer from the given options according to the given options

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: Find the minimum and maximum values of the function f(x, y, z) = x² - y² − z subject to the…

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Q: 9) Consider the region bounded by the graphs of x-B =0 and x=y² -D a. Solve for the points of…

A: The equation x-B=0 is the equation of a line with the slope as 0 and the x-intercept as B. It will…

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

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Q: Find the area of the region bounded by the graphs of the given equations. y= 2x + 24, y = x2 The…

A: Given : The equations y = 2x + 24 and y = x2   To find : Area of the region bounded by the graph…

Q: Find the absolute extrema of the function over the region R. (In each case, R contains the…

A: Given, f(x,y)=(2x-y)2   ----(a)

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

A: Given: y=7xy=0x=0x=4