Find the critical point(s) of y = (1 − x²) 5. — x=0, x=1 x=-1,x=0, x=1 x=1 x=-1, x=1 3 Find the interval where y = x³ - 27x is decreasing. O(-3,3) ○ (3,00) O(-∞,-3) U (3,∞0) ○ (-00,00)

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A:

Q: y-y1=m(x-x1) y-(-1)=4/5(x-(-1)) y+1 = 4/5x + 4/5 y=

A: The given equation is y+1 = 4/5x+4/5      y = 4/5x+4/5-1         = 4/5x-1/5

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A: See the details solution in below

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A: since you have asked multiple questions in single request so we will be answering only first…

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A: The given integral,    ∫t1+2t4dt

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A: To find the critical numbers of f'

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A: Given: y=1+lnxx We know that for any given functiony=fx in it's domain, at critical point derivative…

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A: (x-1)/(x+3) < 0 If, (x-1) < 0 and (x+3) < 0 or (x-1) > 0 and (x+3) >0

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Q: Find the equation of the line tangent to y = 3x² + x +1 at x = -3 Oy=-17x - 26 Oy=6x-3 Oy=-17x - 3…

A: Given that y=3x2+x+1, x=3 We know that the equation of the tangent is y-y1=mx-x1 where m is the…

Q: Suppose P(t) represents the population of a certain mosquito colony, wheret is measured in days. The…

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Q: 5. Find the critical numbers. y= x5/3 – 3x2/3

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Q: If P(A')= 0.4 and P( A and B)= 0.30, then find P(B|A)?

A: Answer: From the given data, P(A') = 0.4 Since, P(A) + P(A') = 1 P(A) = 1 - P(A') = 1 - 0.4 = 0.6…

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A: find the derivative of the function

Q: 26. x = 2y, y(1) = 5 dy

A:

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A: Given that the expression we have to find the g'(x)