5t3-2t2-t+1 b) t→∞ t2-2t3

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A:

Q: 2. If F = (3x² - 3yz)i + (3y²-3xz)-(32²-3xy find div curl

A: Given problem:-

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A: Here we have,  f(x,y) = x2-xy+1-12y2+3 at (3,2)

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A: We will verify the given statement.

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Q: ux.ュメトXス1いスコ-Y Palx, utェッズ)-。 入2コメ; +メュ-」+5- メレ 2 d、しズuメッ]= xit Xzメ]-6 fnd in Ganeral rm.

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A: Given, Z=2x2+3y3 To find: Sketch the plot for Z

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A:

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A: The given graph is:

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A:

Q: Lt² V4-t² dt V(4-x)/(2\x) x(4-x)

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Q: Find y' for x 3 + y-3 9. at the point (2, 1). | At (2, 1), y' Preview ||

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Q: Apply the Gauss-Seidel method to the system

A: the Gauss-Seidel method to the system x1 - x2 = 1 and 2x1 + x2 = 5 with initial approximation [0  0]…

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A: Changing cartesian to polar coordinates: x2+y2=r2x=rcos θy= rsin θ x ranges from 0 to 2y ranges from…

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A: Simple value put

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A: The objective is to find the derivative.

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A: For a simple bivariate regression, the linear correlation coefficient and R-square will be the same…

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Q: II. Verify that ду дх дх ду 3 2 2. f(x, у) %3Dх'у? — ху 'y² – xy ³

A: Given function: Now,

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A:

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A: y =35x4 - 30x2 +3 satisfy (1-x2)y" - 2xy' +20y =0 for this wew find  y" and y' y' = 140x3 - 60x y" =…

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A:

Q: 3)으 rcose de Jsine 1-x2 d ¿= xp 2

A: LEIBNIZ RULE

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A:

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A: Given:

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A: Given the matrices A=12101-1,B=-1021-11,C=-21-32. Calculate AB-2CT.

Q: I Y=t5メPYove th y-2(21くるど

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Q: 6) qyo -x² +2x + S%y +62=0 sty

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A: To sketch: Z=2x2+3y2.

Q: Solve Utt - c²uxx = 0, –n 0, %3D и(х, 0) %3D f(x), и(-п,t) %3D0 %3D и(п,t), и,(-п,t) %3D 0 %3Du,…

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Q: Use Cramer's rule to solve for y. 5x + 4y + 4z = 39 4x +3y-2z 15 4х - 5y - 4z%3D -15 |

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Q: 31-x 2. Evaluate [(x+ y)dydx . 1 0

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