Find f, fy, f₂. f(x,y,z) = (4x² + 4y² + z²) e

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: Find Df, Rf : Y= 3/(2x+1)

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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: Y Is the midpolnt of XZ.If XZ 8x-4 and YZ = 3x +1, find x.

A: Given Y is the mid-point of line segment XZ XZ = 8x-4 YZ = 3x+1   to solve the given question use…

Q: –dx (1 +x) (x+1)Vx² +2x-2

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Q: then find x²°u +2x)y əxəy If u = (x – y)f(y/x), a2u then find x2 dx2 a2u + 2xy дхду

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Q: Eliminate the arbitrary constants Inw = -x, y = C₁W + c₂w²

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Q: Find the values of x and y for which (x + y, 0) = (3,1 - y)

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Q: a va?-x? a²-x² (x + y) dydx

A: We have to find the value of given intregation.

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

A: f(0,−3)=1

Q: y ²x ²dy + 4xydx = 0

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Q: Find the point (x,4) which is 5 units from the line 12x + 5y - 6 = 0 11/4 4/11 4/17 17/A

A: NOTE: Refresh your page if you can't see any equations. . the given point is  and the given…

Q: Ho Find (yor dy d'y ) and (y or -) for the following functions: dx dx L 2. y= x² (x-1)² 5. y=(x²…

A: We need to find the first order and 2nd order derivatives of the given functions.

Q: Consider the equation x² + y³ + zª − 8xyz = z². Find z point (1,1,1). at the

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Q: Given f(x, y) 90x + 80y - 2 – 4y? – xy, and evaluate f(8, 5). f(8, 5) = %3D

A: Given : fx , y = 90x + 80y - 2x2 - 4y2 - xy  To fine : f8 , 5 Solution : For value of fx , y , put x…

Q: )

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Q: -x + y -z = −17 2xy + z = 3x + 2y + z = (x, y, z) =

A: -x+y-z=-17......(1)2x-y+z=24......(2)3x+2y+z=16......(3)

Q: Find dydx for…

A: the given equation of the curve is: y3+y2-5y-x2+4=0 we have to find the value of dydx

Q: Evaluate (2x - y) dx + (x + 3y) dy. C: x-axis from (0, 0) to (0, -3) and (0, -3) to (8, -3)

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Q: (Z7, e).

A: Addition Modulo n Let n be positive integer greater than one and a, b , where Z= {0, 1, 2, ……., n-1}…

Q: f(x, y) = fx ( - 2, 2) = 2 2 3x² + 5y²

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Q: Y (t)

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Q: If (x + 1, y – 2) = (3,1), find the values of x and y.

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Q: dz Find if z = 16x5 – 18x³y3 + 9y – 4. %3D ay az %3D ду

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Q: Use an appropriate change of variables to compute Se (x – y)e(x²-y²)dA where R is the rectangle…

A: Use change of variables: u=x-y and v=x+y or x=v+u2 and y=v-u2.  Calculate jacobian:…

Q: dx 1 (x2 – x + 1) (3x – 2) 2.

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Q: 2a - 5y dA, R =(-5,4] x [0, 3] R.

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

A: For the function fx, y=x2+4y3x3+y4, to find fx, fy, fx5, -5, and fy1, 3.

Q: Given f(x, y) = 100x + 80y - 3x² - 4y² - xy, evaluate f(2, 3). Answer exactly.

A: Here given function f(x,y)=100x+80y-3x²-4y²-xy For the value of f(2,3) we have to replace x by 2 and…