Water is poured into a canonical container at the rate of


QUESTION 1: Find the derivative of sin2(x)

QUESTION 2: Determine the equation of the tangent to the curve f(x) = 4x3+ 2x2 + 7 at x = 1

QUESTION 3: Determine the absolute extrema for the following function on the given interval G(x) = 2x3 + 3x2 - 12x + 4 on [0, 2] 

QUESTION 4: Water is poured into a canonical container at the rate of 10 cm3/sec. The cone points directly down, and it has a height of 30 cm and a base radius of 10 cm. How fast is the water level rising when the water is 4 cm deep? Refer the diagram given below.

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QUESTION 5: Find expression for dy/dx, if y4 + x5 - 7x2 = 0.

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Mathematics: Water is poured into a canonical container at the rate of
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