Find the derivate of the function: (using the Power hule of functions on a and b) a) F(x) = (x² - 6 ) ² de dx (c) Y = y' = sin (2x) b) = (x + ( x ) y dy = dx ♫) f(x) = tan" (1-3x²) (¹αx) = Je

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A: We can answer the question as below.

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Q: 5) Solve for x. 2Vx + 2 - V3r + 4 = 1

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Q: Find two consecutive positive integers such that the sum of their squares is 265.

A: Given problem:- Find two consecutive positive integers such that the sum of their squares is 265.

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Q: Can you also help me with 10? I'm having a hard time solving it.

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A: Here we want to find the equation of the line Passing through the point (2,1) and slope m=2

Q: 2 1 ū' -1 4

A: Here A = 21-14 Let λ be the eigen value of A, then A - λI = 0 ⇒2-λ1-14-λ =0 i.e. (2-λ)(4-λ) + 1 =…

Q: 4. -8z -y+3: =1 4r + 4y +== 41 6r + 4y + 7: = 114 5. 3r + 7y - 2: = 37 6r + 7y + 10: = 46 -v+ 2: =-4

A: 4) Given:

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Q: 4. Solve 6yx +2–12 = 18

A: Given : 6x+2 -12 =18

Q: 18. Solve the following: 3 10 x + 5 x2 + 7x + 10 x + 2

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Q: 3) How many solutions does the equation a + b +c + d+e+f= 30 have if each variable must be a non-…

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Q: 7. Solve: 3 = 2 x-1 + 5 x+1

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