The velocity of a particle moving along a line is a function 78 of time given by v(t) = . Find the distance t² + 6t+8 that the particle has traveled after t = 9 seconds if it started at t = 0 seconds.

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A: To find the differential Equations.

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Q: (-15)-(†)

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A: To find about the transformation done in f(x,y).

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Q: Differentiate the function

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A: On solving this we will get

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Q: Solve the given differential equation. dy = 2e ³xdx A) 6e³x + C B C) 2e³x + C D e³x + C WIN e³x + C

A: Given :dy=2e3xdx

Q: 6 LO 5 4 3 1 -8 -7 -6 -5 -4 3 -2 0 2 4 5 6 7 8 My -1 -2 -3 -4 -5 -6- X

A: f(x) is continuous at x=a if1)f(a) is defined2)limx→af(x) is defined3)f(a)=limx→af(x)

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A: Topic = Vector

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Q: Fore > 0, find>0 necessary to prove lim (2x – 13) = 3. x+8 O a.) 6 = € 2 b.) 8 = 여틀+16 c.) 1 =틀+8…

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Q: X x50] xt) vis OLY wll

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A: Given equation x26+y24+z212=1

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A: Formulas we use: fgx'=f'gxg'x fxn'=nfxn-1f'(x) cos(ax)'=-asin(ax) sin(ax)'=acos(ax).

Q: 10. Find the total derivatives of the following function a) Find dz dy z = 4x² - 3xy + 2y², where x…

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