Find the area of the part of the plane 3x + 2y + z = 6 that lies in the first octant. Step 1 The surface S is the graph of a function z = f(x, y) over a region D in the xy-plane. The surface area of S can be əz 2 = 16 ду calculated by A(S) = V1 + + (0₂)²- + дz and = ay dA. The plane 3x + 2y + z = 6 is the graph of the function z = f(x, y) = 6 - дz have = əx - 2y. We, therefore,

Q: Describe and sketch the surface (x2/16) - (y2/9) + z2 = -1

A: The given surface x216-y29+z2=-1. We have to sketch the graph of the surface.

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

A:

Q: What does 2x + y = 4 represent in the xy plane and what in the space?

A:

Q: Let y= - Find the intersection of these surfaces, Calculate the GB of wrt lex order x>4>2)

A:

Q: 6 (A) 2x-yS6 (B) 2+y<6 (C) 2-y26 (D) +2y26

A: The solution are next step

Q: Identify the type of quadric surface defined by the equation x2 y + z = 1, 49 9. and find all x-,…

A:

Q: The curve y = sqrt(x2 + 1), 0&lt;=x&lt;=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: Sketch the surface given by the equation x2+z2/3+y=3 indicating the points where the surface…

A: Sketch the surface given by the equation x2+z2/3+y=3   indicating the points where the   surface…

Q: nd the point (a, p) on the ellipse 4x adrant, so that the area enclosed by the

A:

Q: The slope of the surface z = xy² in the x- direction at the point (2, 3) is O 12 O 8 O 1 O 9 O 10

A: The slope of the surface z = f(x,y) in the x-direction at (x0,y0) is given by [∂z/∂x](x0,y0) =…

Q: Evaluate |*(x + 7) – 2y ds where C is the circle of radius 1 centered at (-3,0) and lying on the…

A:

Q: Sketch the trace y = 0 for the surface x² - 4y² - z² = 4. Label your axes and plot any intercepts…

A:

Q: Sketch the section of the surface at y = 0. 4 2 -2 -6 -4 -6 -4 4 6. -61

A: