Thread: Calculus

The rate of change of y is proportional to sqrt(y). if the graph of y passes through the points (0, 1) and (2, 4), find y to the nearest integer when x = 6.7.

This one i have no idea how to start or even how to do it, please help.

Thanks in advance.

dy/dx = Ky^(1/2) K is a constant

dy/y^(1/2) = Kdx

Integrate

2y^(1/2) = Kx + C

Use your points to find K and C --- start with (0,1) to find C

The the other to find K

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