Which of the following are harmonic? (a) x³ - y³; (b) x³y - xy³; (c) x² - 2xy.

Q: Find the Principal Value of (-2)i/π.

A: We find the Principal Value of (-2)i/π.

Q: Evaluate. [16si 16sin-4x cos³-4x dx

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Q: Exg: Laderiminz a &b So Thal M=axi bay is harmonic &dind a harmonic confugabe

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Q: Find the harmonic conjugate of the following. Show complete solution.

A: Given,             ex2-y2cos(2xy)

Q: Y=-2 + 4SIN (x + pi/2

A: Given y=-2+4sin(x+π2)

Q: | 6. Use a trigonometric substitution to evaluate x³√x²-4 dx.

A: We will find integral using  trigonometric substitution.

Q: d 3. Evaluate (r“ + 4° + VT+ 1 + sin(4)). dx

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Q: Multiply the following. - 5ab (xa° + ya - 2) - 5ab (xa° + ya - 2) =(Simplify your answer.) 6

A: Given the term is , - 5ab(xa⁶ +ya³ - 2)  We have to multiply the term and simplify it  First we have…

Q: 3. Find x x+34° 3x

A: Given that: To calculate: value of x.

Q: Consider y= 2 + 3sin (2x-pi)

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Q: X=1-Z +Z - Iz\61 and 111 111. then showe 2147= Find four harmonic means. b/wJa and 12

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Q: sin –9xdx

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Q: tan(0.2x - π)= -9

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Q: Graph y = -3 sin ( 3 (3(x-=))-5

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Q: V9-4x2 dx 5. (Use Trigonometric Substitution) x2

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Q: * Evaluate. [6x² arcsin(x)]dx

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Q: 24. Suppose z = 2x2y -3xy +5sinxy. Evaluate A. 4x - 3-5xy sinxy + 5 cosxy B. 4x + 3+ 5xy sinxy + 5…

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Q: 4. Express the greatest common divisor of the following pairs of polynomials as a combination of the…

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Q: (c) f cos³ 4tdt

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Q: f(x,y)=21 (x+y) x=1,2,3, ; y=1,2 other situations

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Q: y=-sin(4x+ pi/2)+3 find the eqation for the midline

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