Given Y Z tangent to OJ at point Y, and mzWYZ = 104°, what is m WXY %3D Y W m W XY

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A: Consider  x=−2+3cosθ, y=5−3sinθ

Q: 0. gy c ube a losed Cont Conlainig he okigin it. Pycoue thal az 2.

A: I have used Cauchy integral formula

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A: As we know that, cosθ=basehypotenusesinθ=perepndicularhypotenusetanθ=perepndicularbase

Q: Find if y = In (9x² + 8y). dy dx

A: Solution is given below

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Q: I 10) Find the exact value of sec. 12

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Q: Carnider the follouarg sketch By. fa). strayht lire. halfe

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Q: Oues. find cof y³ty = x+6x 3. ( please Flugthe Valle of y alse, after taking the duivatlbe]

A: Given an equation, y3+y=x2+6x To find the derivative of the above equation.

Q: 5. Find the total length of the curve r-4 (1-sin e) from 0-90° to 0-270° and also the total…

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Q: Let X=IR. Find E° if E=Z (justify your answer (Real analysis))

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Q: for w = x°y°z. dy Calculate

A: We have to find the partial derivative of the given function with respect to y.

Q: What is the radial lines a and ß of the equation r = sin 30 ? α = 0 and в= A B. a = α = 0 and ³= π/3…

A: Solution:-  Options (b) is correct

Q: Evaluate 1 2. tht Htte tan e(:-+) 2 , у акуся, whve с is the contour given by

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Q: TT T 9. x = sin t, y = cos 2t,

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Q: The point P(x, y) is on the unit circle in Quadrant IV. If x= √21/5, find y. y =

A: P(x, y) is on the unit circle. So x²+y²=1.

Q: 1. Use a Trigonometric substitution to evaluate the following: Vy² – 25 -dy,y > 5 y Include a sketch…

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Q: Find the tangent ratio of angle BKC

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