Factor out the common factors. dy dx = (4x - 3)° (- 15x (2 -x³)²) + (2- x°) ³ (20(4x – 3)4) 5(4x - 3)“ (2 – x°) ² [- 3x*(4x - 3) + 4 (2 – x³)]

Q: 7. lim (f(x)g(x) む→2 f(x) 8. lim 2g(x) 9. lim (f(r) + i(x)) エ→2 10. lim (f(r)i(x))

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A: Given:  x+2y3=c3x-y To Find:  To eliminate the arbitrary constant 'c' in the given problem.  

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A: We have to find

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A: We can solve the problem by finding the slope of line.Then we put it as slope intercept form.

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A: Simply put the value of d and solve for x using concept of inverse trigonometry. 

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Q: n Evaluate : + Vx² +1) dx. x +

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A: So in this we have to find composition of functions so I'm providing hand written solution for this.

Q: John Scalea Page 6 For questions 18 and 19, consider the following piece-wise function which models ...

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A: In this question we solved differential equations.

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A: Separate the variables both sides then integrate to get the answer. 

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Q: 4/ A) Find lim cos(- 19-3 sec 2t°

A: substitute  the value of t for finding the limit.

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A: Please refer the attached image for complete solution.

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A: In this we are going to follow general rule of derivatives of modulus functions. So I'm providing ha...

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Q: 2x 9. x-1 lim x-3 6-2x

A: Given limx→32xx-1-9x6-2x

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A: The function is xx-22=2The interval is 1, 3

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A: Given equations y = Ax + Bex To eliminate the arbitrary constants.  

Q: 1. y' = when x = 0, y = 0 y*+1 %3D 2. xdy- ydx = x?dy %3D

A: Given that There are two differential equation, 1. y' = x+1y4+1   when,  x = 0, y = 0 2. xdy - ydx =...

Q: Find f o g, g o f, and go g. f(x) = x², g(x) = x – 4 (a) fog (x – 4)? (b) gof – 4 (c) gog x – 8

A: Given: fx=x2,gx=x-4   Now find: (a) fog=fgx=fx-4=x-42 Therefore, fog=x-42