Solve the following: i) ii) iii) 6n² x n² x 7n² 2 5x²xx³y² 3 2 10 a4b5c a7b5

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A: We have to do the partial derivatives

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

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A: Volume bounded bya function z=f(x,y) and a region R is given byV=∬Rfx,ydydx

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Q: Question 3 Solve y"+7y'-8y=0;x=0,y=0,y'=1 y at t=1 O 0.302 O 0.393 O 0.332 O 0.0338

A: To find out the value of y at t=1.

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A: Topic = Laplace Transform

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A: Given: R1x=50+x2R2x=200+5x

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A: 16. limx→-12x17. limx→01-cosxx

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A: Volume bounded by a function z=f(x,y) and a region R=x,y:a≤x≤b,c≤y≤d is given by V=∫ab∫cdzdydx

Q: 1. The integral of 34 dx is equal to: A. 4/1n3+ C C. 34/1n81 + C B. 34/1n27 + C D. 34/1n12 + C

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Q: 10) lim TT X-- sinx-cosx - TT X- 4

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Q: 24. Determine the period and amplitude of the function y = 3cos x. A. 2x3 B. D. 1,3 C. 312 KIN

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A: y = cos(te-6t) here we use chain rule and derivate the equation  with respect to t

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

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A: This question can be solved using the concept of compound interest.

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Q: Question 6 af Given f = esec (#) -ya+y, find dy (#) sec² (=) ye NO -y+In (y)

A: Given :f=esecxy-yx+y

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A: According to bartleby guideliness we can answer only the first  3 subpart of multiple…