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A curve has the equation: x^4 + 2x -xy - y^3 - 10=0. Find dy/dx in terms of x and y.
We need to differentiate all values with respect to x. Therefore for the first two terms, multiply by the power and then subtract 1 from the original power. Therefore 4(x4-1) + (2)(2x2-1
A conical vase of base radius 5cm and height 20cm is filled with 200ml of water, how high is the water level? Give your answer to 3 significant figures.
Answer: 2.96 cm
Equations used: Volume of a cone = (base area x height) / 3 ; Base Area = pi x radius2
Volume of whole vase = (pi x 52 x 20)/3 = 523.6 cm3
