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Calculus

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Q: Evaluate the integral ∫dx/(x2−1)2.

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Q: find the area section of a circle. r=36.59 cm, theta=47 degrees

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Q: or formula (**). (Answer: (a) Let f(x) = x² – 3x + 2. Find f'(4) using either formula (*) 5)

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Q: Gradient fields in ℝ3 Find the vector field F = ∇φ for thefollowing potential functions. φ(x, y, z) ...

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Q: For the equation given below, evaluate dy/dx at the point (1,−7/43). y/x+6y= x^3-8. dy/dx at (1,-7/4...

A: y/(x+6y) = x3 - 8 Or, y = (x3 - 8)(x + 6y)

Q: Determine the intervals on which the function is concave up or down and find the points of inflectio...

A: For the point of inflection, we solve y"=0

Q: Find the volue of im x3+2 the Val using 3. X-> hospital cule.

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Q: Find the absolute maximum and absolute minimumvalues of f on the given interval. f(x) =3x4 - 4x3 -...

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Q: If f”(x) = 12x2 + 6x – 4 , f(0) = 4 and f(1) = 1 , find f (x) .Ans f(x) = x4 + x3 - 2x2 – 3x + 4

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