let a = (-1 - 1) and b= (t u v w). define a functionn F: a TO B BY FOLLOWINNG ARROW DIAGRAM

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Q: 7) lim (cotx +cscx) XIR

A: lim      cotx + cscx x -->π lim      cosx/sinx + 1/sinx x-->π lim      (1 +cosx)/sinx x-->π…

Q: Q4) find the soluation of differention equation using exact equation 1) (1 + x²)dy+(2xydx)=0

A: I am attaching image so that you understand each and every step.

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A: Given

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A: This question is based on 3-D geometry.

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Q: 3) √ √6x-x² dx a) 12 (x-3) √ 6x-x² + 2 arcain 2/ arcain X=² X-3 te 3 (x+3) Gx-x2+gain x3tc 3 c) —…

A: solution

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Q: Question 2 Assume is in radians. The angles requested are measured counter-clockwise from the…

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Q: 3 4) Sain ³x cus³x dx 3 a) - + cos²³x (vin³x + ²) + C 2 b) = cos²x (Ain²³x + ²/2 ) + Cc c) - — cos…

A: To evaluate the integral.

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Q: 3. Choose three vectors: and Use these vectors to verify the associative property.

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A: state the order of the given differential eqation . and detemine whether the equation is linear

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A: Please see the below picture for detailed solution.

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Q: (b Set up (but do not evaluate) the given integral in the order da dy dz. Show your work!

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A: Given,  |x+6|=4

Q: 41 - S™ SX SX² *S* x² cos cyldy d z d x

A: Let's evaluate given triple integral.

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A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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A: We can Tak ln both side and solve as follows

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Q: Q4) find the soluation of differention equation using exact equation 1) (1 + x²)dy+(2xydx)=0

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Q: dx S x²(x²+x+1) √ √ex - 1dx

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