Given the function f(x, y) 2(x + 1)2 + 3(y – 2)², determine the location(s) of its extrema and describe the nature of each of these extrema.

Q: find extreme Value of function fex, y) = x°t 3xy?-3x²-3y=t7 1

A: Given:  fx,y=x3+3xy2-3x2-3y2+7 ⇒fx=3x2+3y2-6x, fy=6xy-6y To find extreme points put fy=0, fx=0…

Q: Sketch the level curves of the function f(x, y) = y² for c = -4,-1,0, 1, 4. ²5 T

A: Given that the function is                           To sketch the level curves of the given…

Q: Find the maximum point of y = x + x a. (2,-2) b. (1,2) c. (-1,-2) d. (2,3)

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Q: Find and sketch the domain of the function. f(x, y)=√y+√9-x² - y² y

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Q: Express the function in the form   f ° g  ° h

A: The given function is Rx=x-1 It is required to show the given function in the form of fogoh. So,…

Q: Draw the domain of the function: f (x, y) = Vx² + 9y² – 36

A: Please refer the attached image for complete solution. THANKYOU.

Q: Find the domain of the function f(x, y) = In(3x? – 2y + 1). The set of all ordered pairs (x. y) for…

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Q: Let f (a, y) — 5x? — 8ӕу + 2у - fy 10х - 8y 4y -8х + 4y 10х -8х + 4у

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Q: Draw the domain of the function: f (x, y) = Va + y? + 5

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Q: Find all points (x, y) where the functions f(x), g(x), h(x) have the same value: f(x) = 2"-5 + 3,…

A: Given that, the functions are fx=2x-5+3, gx=2x-5 and hx=8x+10.

Q: Find S x² + vx – 2 dx

A: We need to evaluate the following integral.

Q: Consider the function f(x) = x + 2/x − 6 . a) Is the point (3, 14) on the graph of f? b) If f(x) =…

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