Cons ider The diffevential quation ay? dx +3xy dy =0 with a gs a real constant. If u(x,y) = xyis 4 of the egn Integrating factar O a) 2 The value for 9 is? Ob) 6 Oc) 1.5 Od) 3

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A: topic - sequence and series

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A: We can solve the given problem as follows:

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A: This question is based on cross product.

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A: Basic identities of differentiation are used

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A: The lengths of u and v and the angles that u and v make with the positive x-axis are given as  : || ...

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A: f(x)= (cosx/ 1+sinx)2

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A: Topic: function and derivatives

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A: Option A

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A: We will solve the differential equation. 

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A: answer is given below .

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A: Given that x>0. We have to find the maximum value of  x1x5.

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A: Given a differential equation.  

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A: This is a limit problem of the function. Please follow the procedure given below.

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A: Topic = Vector

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A: xexy(x dy-ydx)-y2 dy=0x2 exy dy -xy exy dx =y2 dyx2y2exy -xy exy dxdy =1dxdy=x2y2exy -1xyexy x=vydxd...

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A: Topic = Geometry

Q: 2. a. arctan(-1) b. tanV3 C. tan-

A: a)tan-1(-1)=-π4b)tan-1(3)=π3

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A: Let's find. 

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A: This question is based on resolution into vector components.

Q: cor component of v orthogonal tob is ).

A: We will find the vectors. 

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A: We have to find y' for the given expression                                                         ...

Q: (2t+1)(2t-1) dt

A: since you have posted multiple question in this question which are not interlinked so i have solved ...

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A: I have stated the used formulas in the solution

Q: Does the sequence (a,) converge or diverge? Find the limit if the sequence is convergent. 2 4n + 4n ...

A: To determine whether the sequence an converges or diverges. To find the limit of the sequence if it ...