Consider the curves in the first quadrant that have equations y=aexp(6x) where a is a positive constant. different values of a give different curves. the curves form a family, f. give a formula g(y) for the slope at (xy) of the member of f that goes through (xy). the formula should not involve a or x.

Step-by-step explanation:

Given is the curve exponential in the I quadrant

where A is positive

For different values of A, we have different curves which together form a family of curves

The differential equation to be formed using slope and x,y would be as follows:

Differentiate the given equation wrt x

This is the slope

Eliminate A to get

slope =

This would be the formula for slope without A or x in it

there still no table

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