The domain of f(x, y) is the xy-plane, and values of f are given in the table below. y\x 0 1 2 3 4 0 7574 73 72 72 1 7272 737374 2 68 65 6567 67 3 7171727272 4 7374 75 7473 Find ſo grad f dř, where C is (a) A line from (2,0) to (1, 4). So grad f · dř (b) A circle of radius 1 centered at (1,1) traversed counterclockwise. So grad ƒ · dř =

Q: Give the domain of the function. z = 4x – 5y O {(x, y): x and y are real and 4x – 5y = 0} O {(x, y):…

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Q: 2 T= {(x, y): y = x2+4

A: The given relation,   T=x,y: y=2x2+4

Q: Are the following functions? es, and roots Find b x\y 7|3 xly 1|7 xly 713 714 312 1|2 xly 1|7 314…

A: If there is more than one value of y for one x, then the relation is not a function. For this, for…

Q: Which of the following describe y as a function of x? (1) x2 3 0 V 3 9 -4 O(3) only O(2) and (3)…

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Q: a. Let X = {2, 4, 6} and Y = {a, b, c, d'}. Define g : X→ Y by the following arrow diagram. X 2 4 bo…

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Q: Let A = {1,2,3}, B B = = Define the functions f: AC and g: B → C by f(1) = 7, f(2)= 9, f(3) = 7,…

A: We want g o h = f.     So, we want g o h(1) = f(1) = 7            and g o h(3) = f(3) = 7   Now,…

Q: of Əf Find and дх ду Əf дх — II for the following function. f(x,y) = (5x – 2y)5

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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: 1. Describe all functions f such that f(r) ar² + bx +c and f(1) = 2 and f(-1) = 6.

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Q: Supposer is an invertible function with domain [1, 5] and range [2,7]. Then the domain of r−¹(x − 1)…

A: Given that r is an invertible function with domain [1,5] and range [2,7].It means that for every…

Q: {h,p,t, v, w}, and 7, 10, 12, 15, 16, 21, 24, 29, 30}. 21), (р, 29), (t, 24), (v, 24), (w, 10)} de n…

A: We have to complete the given statement according to the given information

Q: Find the domain and the range of the functions and describe it as regions in relevant spaces as well…

A: The objective is to evaluate the domain and range of x+116-x2-y22-z2. To find the domain and range…

Q: b. Find and sketch the domain of f(x, y, z) = Vz-x² – y²

A: (b) domain of function f(x,y,z) is set of those values of x,y,z where function f(x,y,z) is defined…

Q: Select the following functions that are bijective. ƒ₂: R → R, ƒ₂(x) = 14 f₂: R → R, f₂(x) = x f₁: R…

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