u(x, y) and let f and g be twice differentiable functions. The al solution to the equation uy2r + 2y is u(r. y) = ²+ y² + f(x) + g(y) (B) yr² +ry² + f(x) + 5 (D) yr² +ry² + y f(x) + z +y² + y f(x) + zg(y)

Q: Suppose that f(x, y) = e−3x²—¹y²+6x+10y then find the discriminant of f. Submit Question

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Q: 5c) Find the partial derivatives?     y = 2x2+3xz+85w-8z2

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Q: .3 If U = 2– x, | x 2-xdx=

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Q: Evaluate (2x - y) dx + (x + 9y) dy. C: x-axis from (0, 0) to (0, -9) and (0, -9) to (4, -9)

A: Solution :-

Q: true or false :  There exists a function F of two variables x, y such that dF = (x − y)dx + (x +…

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Q: Evaluate (2x - y) dx + (x + 9y) dy. C: x-axis from (0, 0) to (0, -9) and (0, -9) to (6, -9)

A: Line integration

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

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Q: Let f(x,y) = 2* + 7xy, find f(0, – 3), f(- 3,2), and f(3,2). f(0, – 3) = (Simplify your answer.) f(-…

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Q: Suppose that f(z, y) = 10z²y² + 8z? + 2y? then find the discriminant of f.

A: We have to find the discriminant of the function of two variables fx, y. It is given that the…

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A: Solve for the angle X

Q: Let f(x,y) = 8x - 2y + 5. Find the following values of f(x,y) for the given coordinates. (a) f(2,…

A: Given  f(x,y)=8x-2y+5 Find:f(2,-1) Substituting x=2 and y=-1 in the given equation, we get  f(2,…

Q: 3. Evaluate f 2xdx + (y + 2)dy along the rectangle with vertices (0, 0), (0,3), (3,3) and (0, 3).

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Q: Evaluate (2x - y) dx + (x + 5y) dy. C: x-axis from (0, 0) to (0, -5) and (0, -5) to (7,-5)

A: The given integral is ∫C2x-y dx+x+5y dy where C is the line from 0,0 to  0,-5 and  0,-5 to 7,-5. To…

Q: Let f(x,y) = 8x - 2y + 5. Find the following values of f(x,y) for the given coordinates. (a) f(2,…

A: Let's find value of given function.

Q: let r (t) = The y component of r' (5)

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Q: Find all values of x and y such that f (x, y) = 0 and fy(x, y) = 0 simultaneously. f(x, y) = x² +…

A: The given function .The aim is to find all values of  and  such that .

Q: Find fy (-1,-4,-2) if f(x, y, z) = x³ z4 + 2xy – y? z + 1.

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Q: Uz + xuy = x²y, u ( x, 2x + = 5x

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Q: Find all values of x and y such that f(x, y) = 0 and f(x, y) = 0 simultaneously. f(x, y) = x² + 4xy…

A: To find all values of  such that  simutaneously.

Q: Evaluate (2x - y) dx + (x + 3y) dy. JC C: x-axis from (0, 0) to (0, -3) and (0, -3) to (9, -3)

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Q: Find all values of x and y such that fx(x, y) f(x, y) = x² + 5xy + y² - 15x - (x, y) = ([ = 0 and f…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: The function f (x,y) = x3-6x+2xy+y2+2y+6 has two stationary points. Find and classify then.

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Q: Consider the function 2² + 2x +1 y = r2 +1 a) Show that the domain of this function is a €R. b) Find…

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Q: f(x,y) = x² - xy +y² – 9x + 6y + 10

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Q: Find the point (x,y) on the line y=x that is equidistant from the points (3,8) and (−10,−10)

A: To find the point x, y on the line y=x, that is equidistant from the points 3, 8 and -10, -10.

Q: Determine the numerical value of F (2, 3, -1) given the function F(x, y, z) = 2x²y = xz² + 3y²z. y

A: The given function is ; F(x,y,z)=2x2y-xz2+3y2z.