SOLVED:find a formula for the error E(x) in the tangent line approximation to the function near x=a. Using a table of values for E(x) /(x-a) near x=a, find a value of k such that E(x) /(x-a) ≈k(x-a). Check that, approximately, k=f^''(a) / 2 and that E(x) ≈(f^''(a) / 2)(x-a)^2 f(x)=x^4, a=1

Answered: Use linear approximation, i.e. the tangent line, to approximate v81.4 as follows: Let f(x) = line to f(x) at x = 81 Vx. Find the equation of the tangent L(x) =… | bartleby

(a) Find the tangent line approximation to cos x at x=π / 4(b) Use a graph to explain how you know whether the tangent line approximation is an under- or overestimate for 0 ≤ x ≤π / 2(c) To one decimal place, estimate the error in the approximation for 0 ≤ x ≤π / 2