TRY THESE 1 y c dx132 2 y aelkx 3 y kxn determine k and n

TRY THESE: (1) y = [c + dx(1/3)]2; (2) y = aelkx) (3) y= kxn (determine k and n), (4) (y2+ b)(1/2-ax, and y = a[l - bx3/4) all- bx849]

Solution

1) y =( c+dx^1/3)²

Put c+dx^1/3 =X^1/2

Then equation would be

X = y linear with slope 1 and intercept 0

2) y =ae^kx

    ln y = ln a + kx

Substitute ln y = Y and ln a = C

Then it is of the form Y = kx +C where Y = ln y and c = ln a

3) y = kxⁿ

Take log

ln y = ln k + n ln x

Put ln y =Y and ln x = X

then Y = n X + ln K i.e. slope intercept form with slope = n and intercept = ln k

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4) Put y²+b =u²

Then the equation will be u = ax slope intercept form with intercept =0

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5) Put x^3/4 = X

y = a-abX with slope -ab and intercept = a

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