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Q: Find f. f(x) = f '''(x) = cos(x), f(0) = 9, f'(0) = 1, f ''(0) = 9

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Q: Verify that the function is a solution of the initial value problem

A: To verify that the given function y=x21+2lnx​+21​ is a solution to the initial value problem…

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Q: 2. Solve a. f b. S C. S. dz 22-25 dx 9-4x-x2 dx x²+6x+16 d. S e. S dx dx √25-x2

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Q: Suppose a=(6,8), b= 28, and the angle between a and bis 60. Find a×b

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A: ANS :7 ​​Fory1​=exCosx​​  Fory1​=exSinx​​     ANS :12 ​​Fory1​=xCos(lnx)​​ Fory2​=xSin(lnx)​​

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Q: Find the limit as x --> 0 of  {(1/x) - [1/ (e^x-1)]} using both Maclaurin series and L'Hopital's…

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