dy If sinx + siny = xy, find dr coss-ly O a. -cosy cosx-y a-cosy none of these CORE-ty #coy CORE-Y x-cosy O b. ос O d. Oe.

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A: Given:    f(x) = 2x+13x-34

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: Given;  Limx-infinity [sqrt(x2+x) - sqrt(x2+4)]

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A: We have to differentiate

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Q: Find the inverse Laplace transform: 1-3s F(s) = s²+2s +5 O a. 3/2+e-[(3/2) cos 21 - (9/2) sin 21]…

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Q: B. Find the general solution of the following differential equation xyy' = ¹+y² 2 1 100

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Q: what is half of 3 and how

A: We can solve this as follows:

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A: the simple way integration ,frist integration with respect to x

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A: Given query is to find the derivative of the expression.

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A: Point of intersection of the curves is the point where two curve intersect .

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A: The veloctiy of a moving objcet is v(t)=t2-2t2 in meters per second.

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: Find the area of the plane region bounded by y=-x+2 and y=x²-2x 0 7 s.u. O 9 s.u. 0 1 09 2 S.U. S.U.

A: Graph :

Q: Differentiate. g(t) = 24¹ g'(t) =

A: g(t)=24ttake log both sideslng(t)=ln24tlng(t)=t·ln24by property of loglnab=blnaalso…

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Q: Suppose that 4x² + 2y² = t² and y=tsin 0. Find ду (27) ət 0 and at ?x

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A: Given problem:-

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Q: 9) (x - 2)² 16 9 (x+5)² ¸ (v+3)² _ 1 = + 25 16 +(y-1)² = 1 11) 2 x² X 13) 121

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Q: Using Rationalizing Substitution S- O In(y) + C O Arctan(y) + C O2Arctan(y) + C O2ln(y) + C dx…

A: ∫dxxx-1Substitute y=x-1→dydx=12x-1→dx=2x-1dy=2∫1y2+1dy

Q: A tumor is injected with 0.6 grams of Iodine-125, which has a decay rate of 1.15% per day. Write an…

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Q: If w = 2x² + 2y + 2z+ cost and x+y=t, find the partial derivatives below. G. (22) X.X C. a. (W) b.…

A: Note : As per our guidelines we are supposed to answer only first 3 subparts if there are multiple…