4. Let f be the function with f'(x) = - where f(3) = 6. 1+et x...

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4. Let f be the function with f'(x) = - where f(3) = 6. 1+et x² a) Write an equation for the line tangent to the curve y = f(x) and use it to approximate f(3.1). b) Use Euler's method, starting at x=3 and two steps of equal size to approximate f(3.1). Use a second derivative to show whether this is an over approximation or an under approximation. 3.1 c) Evaluate [ƒ'(x)dx and use it to evaluate ƒ (3.1). 4. Let f be the function with f'(x) = - where f(3) = 6. 1+et x² a) Write an equation for the line tangent to the curve y = f(x) and use it to approximate f(3.1). b) Use Euler's method, starting at x=3 and two steps of equal size to approximate f(3.1). Use a second derivative to show whether this is an over approximation or an under approximation. 3.1 c) Evaluate [ƒ'(x)dx and use it to evaluate ƒ (3.1).

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a To find the equation for the line tangent to the curve y fx we need to use the pointslope form of a linear equation The slope of the tangent line is equal to the derivative of the function at that p... View the full answer