Find the line integral along the given path C. So x-y)dx, where C: x=t, y = 3t+ 5, for 0 ≤t≤3 C f(x-y)dx: C

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A: Consider the given process:        Xt=tBt-∫0tBsds

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A: Given a T be a linear transformation and Tx,y=x+y,y−x We have to find the standard matrix of T Let…

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Q: 1. Evaluate ſ. (x² – y²)dx + x dy along c: x = t³, y = t 1st<8

A: Given:    x=t23 , y =t  (1≤t≤8)    =  ∫cx2-y2dx+xdy     =∫18t43-t223t-13dt+t23dt…

Q: dx 7. JIVa² – 2x + 5 (hint: let æ² – 2x + 5 = (z – x)²) -

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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Q: Evaluate (z – i) dz where C:y(t) = VE² +1 + it³, 0<t < 1

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Q: Find fx and fy for f(x,y) = y In (x + 8y). II

A: Step 1:​f(x,y)=yln(x+8y)​Step…

Q: √x 3 1+ x³ X 3 dx (Hint: Let u = x²

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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: If u = 2-x, x/2-xd

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Q: find √x² ds along the line of intersection of the two planes X-Y+z = 0 and x+y+ 2z =0, From origin…

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Q: For the function y = x² + 2x, the value of dy when *=3 and dx=0.1 js -0.15 A) 0.15 B) C) - 0.8 0.8…

A: We will find out the required value.

Q: Find fx and fy for f(x,y) = y In (x + 8y). II

A: To provide what is best and to understand more about the students concerns for their studies.

Q: Let f(x, y) = 6e sin(7y) af af dy

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Q: Let f(x, y) = vax?y? + by. Compute f,(c, d) for the following values: a = 9, b = 3, c =3, d = 2.…

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Q: b) Evaluate f v1 – x² dx.

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