Find the surface area of the portion of the surface x2- 2 In a+ V15 y - z = 0 above the rectangle 1

Q: Find the area of the surface, which is part of the surface z = 1 + 3x + 2y2 that lies above the…

A:

Q: the surface z = &x + 4y th=

A:

Q: Find the maximum volume of a rectangular box with faces parallel to the coordinate planes if one…

A:

Q: Calculate the surface area of the z=x²+y surface on the triangular region with vertices (0,0), (1,0)…

A: Let z=fx,y. Differentiate the function fx,y with respect to x and y, to obtain fxx,y and fyx,y.…

Q: Q3: Find the points on the surface x^2+z^2-630, closest to the origin.

A:

Q: 3. Find the area of the part of the surface x 2z + y° - 3, that lies above the triangle in the…

A: Given, x=2z+y2-3, i.e. z=12x-y2+3. As it is known that the surface area is given as,…

Q: Find the area of the cap cut from the paraboloid y^2+z^2=2x by the plane x=2

A: To Find: Area of the cap cut from the paraboloid y2+z2=2x by the plane x=2.

Q: Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y = x and y =…

A:

Q: The curve y = sqrt(x2 + 1), 0<=x<=sqrt(2), which is part of the upper branch of the hyperbola…

A: Find dy/dx from the given curve using power rule and chain rule.

Q: nd the area of the surface generated by revolving the curve x= Osys2, about the y-axis. 3

A:

Q: 2) Describe the level curves of the surface Z = √36 4X² 9Y²

A:

Q: Let f(x,y)=/4– 4x² – y² . Find its domain and give a rough sketch of its surface.

A: The given function is:fx, y=4-4x2-y2To find domain and sketch the surface

Q: Q1.6 Find the point on the surface given by the equation x^2 + 5y^2 + 10z^2 = 18016 that has a…

A:

Q: Find the surface area of the ellipse that lies on the plane z=11-3x+2y and inside the cylinder…

A: The plane z=11-3x+2y and cylinder is x2+y2=9. Obtain the partial derivatives of z=11-3x+2y:…

Q: Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y = x and y =…

A:

Q: Suppose you head toward the xy-plane from the surface x? + y? – 2² = –1 at the point (1, 1, v3) by…

A: given,     x2+y2-z2=-1 at the point 1,1,3