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A curve is represented parametrically by...

A curve is represented parametrically by the equations `x=f(t)=a^(In(b'))and y=g(t)=b^(-In(a^(t)))a,bgt0 and a ne 1, b ne 1"`
`Where "t in R.`
The value of `f(t)/(f'(t))cdot(f''(-t))/(f'(-t))+(f(-t))/(f'(-t))cdot(f''(t))/(f'(t))AA t in R ` is

A

-2

B

2

C

-4

D

4

Text Solution

AI Generated Solution

To solve the given problem, we need to analyze the parametric equations provided and then compute the required expression step by step. ### Given: 1. \( x = f(t) = a^{\ln(b)} \) 2. \( y = g(t) = b^{-\ln(a^t)} \) ### Step 1: Rewrite the functions From the given equations, we can simplify \( g(t) \): ...
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