Find the absolute minimum value to the nearest integer of f(x,y)=2+ 2x + 2y -x² - y² on the triangular region in the first quadrant bounded by the lines x = 0, y = 0 and y = 9 - x. Answer:

Q: 6. Find the area of the surface generated when y = v4x + 6 is revolved about the x- axis on the…

A: 80π

Q: Consider the area bounded by the curves y = 4x³ - x² - 14x and y = x²+2x. Where do the curves…

A: Step 1:Step 2:I hope it is clear if there is any doubt, please ask in clarification section.

Q: Find the maximal value of the function f(x,y)=2x3-y3 on the circle of equation x2+y2=7.

A: We have to find the maximal value of the function  on the circle of equation

Q: Find the point on the line y = 8x + 7 that is closest to the origin. (Hint: the distance between two…

A:

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A:

Q: Calculate (4x² + Se) dy, where C is the triangle of vertices (0,0), (2,0) and (2,2). [(4x²+ Note:…

A:

Q: Use calculus to show that the maximum possible area of a triangle with one vertex at (0, 0) and the…

A: