Find the critical point of the function f(x,y) = 3x²y² + 5y² + 5x². o a. (0,0) o b. (1.29,0) o c (-1.29,0) o d. (0,-1.29) o e. (0,1.29)

Q: Let P = (x, y) be a point on the graph of y = Vx. Express the distance d %3D from P to the point (1,…

A: Any point P(x,rootx). From that we got answer.

Q: Find f, (x.y) and f, (x,y). Then, find f, (1,-3) and f,(-1,- 2). f(x,y) = - 5xy + 2y +6

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Q: t(x, y) x² + y?

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Q: Determine the expression for F(x, y, z) given the function F(x, y, z) = 2x²y = xz² + 3y²z.

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Q: Find the interval(s) where f(x) = 2x° – 15x? + 36x – 27 is increasing. -

A: The given function is fx=2x3-15x2+36x-27. The main objective is to find the intervals where the…

Q: f(x)=√√√9-x

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Q: The functions f(x) = 1 and g(x) = 5x are orthogonal on the interval [-1, 1]. %3D %3D

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Q: (In æ)" Find y'. Let y = e" + 2

A: Explanation of the solution is given below...

Q: Find the indicated value of the function f(x,y,z)=2x-7y² + 3z³ - 5. f(9, -4,3) f(9,- 4,3)=

A: Here is the solution:

Q: Minimize F = x² +y² with x + 2y = 20. O a. F= 20 O b. F= 72 c. F=2 O d. F= 80 e. F= 60

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Q: Find one of the two residues of the function (2z + 3)/(2 - 2) on its poles. а. 0.25 b. 0.75 С. -7/4…

A: We say cauchy residue theorm 2πIota (sum of residues at singularities inside C)

Q: find the domain of the given function. f ( x , y ) = Vx²-2y .A D = {(x.y) ER?: y 2x²} .B D= {(x, y)…

A: We find domain of given function

Q: The domain of y = v2 – x is A. (-0,2] B. (-0,00) C. (-∞,2) D. [2,0) E. 0

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Q: A- Find d2y dr² for the function x³ + xy = 1 at (1,1)

A:

Q: Find R f(x, y) dA where f(x, y) = 3x + 1 and R = [1, 2] × [−2, 4]. SSR f(x, y) dA = Submit answer…

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Q: . Find div(F x G) = V · (F × G). F(x, y, z) = i + 9xj + 3yk G(x, y, z) = xi - yj + zk div(F x G) =

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Find fax, fay and fry for the function f(x, y) = (1+x+y)e¯xy Select one: a. None of these b. fxx –…

A: Consider the given function : f(x,y)=(1+x+y)e-xy

Q: Find an antiderivative of the given function. f(x) = 5(7x + 1)(7) Select one: A. (7x + 1)4 7 O B.…

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Q: b) By using the given substitutions, show that i. Sx(x – 3)5dx =÷(x- 3)“(2x + 1) + C, z = x - 3 14…

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Q: Find f, (8,2) if f(x.y) = e* - 5y.

A: We can find the answer as below

Q: Suppose that f(x) = 1 if x 0. Does lim,→0 f(x) exist? (Draw a picture.) O No, because the limits…

A: Given, limx→0-=1limx→0+=2 Hence, limx→0fx does not exist  since both the limits are not the same.…

Q: Let Q be a continuous random variable with PDF ( 6q(1 – q) if 0 < q < 1 fq(4) = otherwise This Q…

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Q: For the function f(x,y) = 3 x³ + 5y4 5 4 x +y find f, fy, f(-1,1), and f,(-3,2).

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