(r² + y² )²dydx • Evaluate:

Q: (xCsc-)dナ×

A:

Q: (2x dydr Evaluate: 1.

A: convert into polar form :  x=rcos(theta) y=rsin(theta)

Q: Evaluate (x² + y²) dxdy

A:

Q: Evaluate: ,(3y – 8y* + 9y²)dy | -2

A: let I = ∫-223y6-8y4+9y2dywe know that ∫-aaf(t)dt = 2∫0af(t)dt

Q: Let F = (2x, 3y, 7z). Calculate div(F) and curl(F). (Use symbolic notation and fractions where…

A: the divergence (div) and curl of the vector field F = (2x, 3y, 7z), we can use the standard…

Q: 3 | (16t3 – 12t? + 6)dt

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Q: -3x +4y by replacing x with 0.3 and y with 0.25

A: By using algebraic properties

Q: 3 Perform the operation: (2x* + 5x+8x +24) - (x+2) 12 A. 2+x+6+ x+2 B. 2+ 112 + 9x + 18x + 44 + x+2…

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Q: Evaluate L{3e−2(1−t)+t3e2t+2t2sinh(2t)−4e−2tcos(π−3t)}

A:

Q: A twin-engined aircraft can fly 1024 miles from city A to city B in 4 hours with the wind and make…

A: Let the speed of wind is w and speed of twin aircraft be v.

Q: Find yll if x²+4y²=7

A:

Q: 3 Evaluate: (12t3 – 12t2 + 6)dt

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Q: dx Evaluate f 4x- +4x+5

A: We have integral  I  = ∫dx4x2 + 4x + 5 Take 4 common from the denominator, we get I  = 14∫dxx2 + x +…

Q: Evaluate: S,(3y6 + 8y* – 9y?)dy 2

A: ∫-223y6+8y4-9y2dy

Q: x2 dr. Væ + 2 1. Evaluate -1

A: Integrate by parts.

Q: Evaluate: / sec (5x + 1).5dx

A:

Q: Evaluate: - 2)(5 – 3r)"dr 10

A: the given integral is: ∫-11x-25-3x10 dx we have to evaluate the given integral.

Q: Exl show that 9dx (x²+4)² 97 16 H.W

A: Here we have to show the above integral.

Q: 12υ(7+ 6υ2), dv

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Q: A = p + prt for r ( banking)

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Q: Simplify: x'(v +x) O A (y+x) x² в (у+1) C (v+1) D (y+x)

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Q: =wyx for w = In (3x+ 4y). ух

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Q: Evaluate the following: 2. y(4)+8y"+16y=0

A: