Determine the surface area of f(x,y) = 2+ (2/3)x^(3/2) + (2/3)y^(3/2) over the region R, a triangle with vertices at (0,0), (0,2), and (2,2)

Q: suppose or be the same TO X-(X,X2) And page. Y =(Y1,Y2) %3D 1/2 dz (X,y) = ( \xq-Yal"+ |x2-Y2T) max.…

A: As per company rule we will solve the first part. For other parts kindly post in other question.

Q: Find an equation of the line tangent to the intersection of the cylinders x² + z² = 4, y² + z² = 4…

A: The parametric form of the tangent line is  x=x0+aty=y0+btz=z0+ct where, (a,b,c) is the direction…

Q: Find normal line (parametric form) to the surface x^2 − 4y^2 + z^2 + y = 27 at the point (5, 1, −3

A: This question is about application of derivative

Q: Compute area of the region bounded byx2+ (y−1)2= 9 andy=x+ 1 and the (horizontal) liney= 1 (we…

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Q: Verify by integration that the Xbar location of the centroid of a quarter circle is (4r/3 pi)

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Q: Find the point(s) on the surface z^2=xy+1 which are closest to the point (10,11,0).

A: We have to find the the point(s) on the surface z^2=xy+1 which are closest to the point (10,11,0).

Q: Find the tangent planes to the surfaces given by the equations z = 7x^2 - 12x - 5y^2 and xyz^2 = 2…

A: NOTE: Refresh your page if you can't see any equations. . the first surface is so we can write…

Q: the normal line of the surface [z = (4x^2 + y^2] at the point (1,1,5) O 8x-2y+z=5 O 8x+2y+z=5…

A: We have to find the normal line of the surface.

Q: the voulme of the region are  bounded by the paraboloid x= y^2+z^2 and the half cone x=…

A: The volume of the region bounded by the paraboloid x= y2+z2 and the half cone x= 8y2+z2

Q: A) Integrate f(x, y) = xy^2 over the square bounded with endpoints at (0, 0), (0, 1), (1, 0) and (1,…

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Q: Find the Largest open rectangle in the plane in which the hypotheses of Existence and uniqueness…

A: Answer

Q: Determine the greens function for the ball B= { (x,y ) : x^2 +y^2 < 9 } x,y belongs to R^2

A: To Determine :- The green function for the ball B = x,y : x2 + y2 &lt; 9  x , y belongs to ℝ2.

Q: Draw a contour map for f(x,y) = x^2 + 4y^2 where k = 3, k=8 and k=14

A: A scalar function f(x,y) is a rule that is used to associate a number, or quantity with a particular…

Q: Find the maximum and minimum values of x^2 + y^2 − 2x − 2y on the disk of radius √ 8 centered at the…

A: Given function is  fx,y=x2+y2-2x-2y where bounded region is  x2+y2≤8.

Q: What is the center of gravity of the region bounded by the graphs of equations y = x2 -2x+1, y =…

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Q: Eveluake F.dv wlere flaiy,z) where the segnent on Cis (-',2,0) to (3,0,1)

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Q: The minimum value of f(x,y,z) = x^2 -2y + 2z^2 on the sphere x^2 + y^2 + z^2 =1 is ....?

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