-2z Real and Imaginary Parts. Find Re and Im of e 2. Let z = x + iy. Re(e-2") Im(e-") =|

Q: Integrate S(csc 3x + cot 3x)²dx A. cot 3x –csc 3x –x+ C -cot 3x -csc 3x – x+C -를cot 3x- sc 3x + x +C…

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Q: .3 If U = 2– x, | x 2-xdx=

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Q: exp(iz) = 1+ iV3.

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Q: Find å · 5 for å = (4,1, and 5 = (6, –3, –8

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Q: /s. 5. Show that 2x?dx = f 2x²dx + S, 2x²dx + f 2x²dx %3D

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Q: Match each equation on the left with its y = 0 trace on the right.

A: Given,                  x2-y2+z2=-1.

Q: Let A = (-0,0), B=(0,0) then AUB=

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Q: +タ x2 – 1

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Q: Compute dx. X + 2 *+ C Ox-2in|x| +C + C 2+ 2x Ox-2injx + 21 + C + C (x + 2)2

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Q: S 2y(yª – 4)¯³ dy

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Q: Y/9-2/5=1/3 Show also the checking

A: Solve and check the equation Y9-25=13.

Q: Eliminate the arbitrary constant. y=Ax 5+ Bx³ A B 7xy "- x²y + 15y = 0 D x²y '- 7xy "+15y = 0…

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Q: X 3- Ssin ² x dx ។

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Q: Prove that P(Ø) = 0. Hint: Let A, = Ø for all i in equation (1.3.3).

A: Consider that

Q: Differentiate. Find ele ele ele ele ele AP O AP O for y=x-1 Whatsa AP O 2x³ - 3x² (x −12 - 2x3+3x2…

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Q: d. x+3y = 0 y-4+ 4(x - 2) f. -6x + 4y -7 Find intercent and v-intercent.

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Q: 3. (x +2 ) Ex²-4)

A: y=(x+2)3x2-4

Q: 2 D²y+y=secx²

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Q: Find the centroid of the plane area shown below using integration. y²= 3x - y = x²/3 -X

A: The centroid or geometric centre of a plane figure is the arithmetic mean position of all the points…

Q: dx = 2x - 1 x³+3x + C x2 +C -- 3+C 2. 6. In x +C In x +C

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Q: ifferentiate the funtion y = 2 csc (1-3x)

A: Giveny=2cosec(1-3x)Aim: dydx

Q: 17. y + 3x = x2 %3D - 1 0 1 2 3 y (x, y)

A: Consider the given function. To plot the points we first of all have to put the value of independent…

Q: Evaluate dx. Vx+/3-x

A: If f(x) is function and on changing its limit ,  Integral of f(T-x) = integral of  f(x)

Q: 2. Find b such that dx 1+x2 3

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Q: xy? If w = find Wx - O 2xy

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Q: 1- dy =(64x)

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