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: b. Enclosed by the curves y² = 4x + 4 and the line y = 4x – 16.

A:

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: 2 Find the distance from the point B = [0 5 0 to the line 1 +t| 0 -3

A: Here we will find the distance between the given point and line,

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:

Q: solve for the point on the graph y=√3x+ 2 that is closest to (3,0). What is the minimal distance…

A:

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

A:

Q: The shortest distance from (−7,6,−8) to the xy-plane is

A: Since the plane is a xy-plane so, the point will be (-7,6,0).

Q: Find two positive number whose sum is 15 so that the sum of their square is minimum.

A:

Q: Find the area of the largest rectangle that can be bounded by the x-axis and the parabola y = a -…

A: The given problem is to find the area of the largest rectangle that can be bounded by x-axis and the…

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

A: