1/ Find maximum,minimum Z= x³y³-12x + 3y + 12. ,and saddle point of the surface
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Q: The surface of many airfoils can be described with an equation of the form Thickness max y = =…
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Q: 1) Using Laplace transform methods, solve for t20 the following simultaneous differential equations…
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Q: Q3/: Find the area r = 1- cose and over the region R that lies inside the cardioid outside the…
A: We have to find area inside the cardioid and area outside the given circle.
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- Find the minimum distance from the point (−2, −2, 0) to the surface z = √(1 − 2x − 2y).Calculate the point on the surface z =1 - x2 - y2 that has a maximum value for the sum of its coordinates. What is that maximum value?Find the minimum distance from the point (5, 0, 0) to the paraboloid z = x2 + y2. (Give your answer correct to 2 decimal places.)
- Find the minimum distance from the point (4, 0, 6) to the plane x − y + z = 3.Find the minimum distance from the cone z = 2x2 + y2 to the point (-6, 4, 0).Find the points on the curve of intersection of the ellipsoid x²+4y²+4z²=4 and the plane x-4y-z=0 that are closest to the origin and find the minimum distance.