1a. Find the equation of a tangent line to the curve f(x) = ln(2−x)/x + 3x...

1a. Find the equation of a tangent line to the curve f(x) = ln(2−x)/x + 3x at the point (1, 3).

1b. Suppose the following function is defined implicitly by the equation, Find dy/dx x^2 − 3y^2 + 6e^x = 4x^2y + 5

2. Using only the definition of derivative as a limit, calculate f(x) where f(x) = 1/x − 5

3. One thousand dollars is invested at a rate of 3%

a) How much money will be in the account in 8 years if interest is compounded every 3 months?

b) How long will it take for the initial investment to double if interest is 3% and compounds continuously?

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Expert Solution

milcah answered 1 year ago

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