Let f(x) = 5x². a) Find the linearization L(x) of f at a = 5. b) Use the linearization to approximate 5(5.1). c) Find 5(5.1)2 using a calculator. d) What is the difference between the approximation and the actual value of 5(5.1)-. ... a) The linear approximation is L(x) =.

A thin bar composed of aluminum is 20 cm long. It is initially at a uniform temperature of 30° C. At time t = 0, the left end of the bar (x = 0) is placed in a bath at a constant temperature of 20° C. The right end of the bar (x : constant 40° C. 20 cm) is placed in a bath kept at a (a) Derive the temperature function of the bar for any point in the bar at any time. How does the temperature at the center of the bar change with time?

Given the functions fz) = x' and g(x) = x - x + 4, determine the range of the combined function y = Ax) - g(x).

Find the linear approximation of the function f(x f(x) = √9-xat a=0. L(x)= A Use L(x) to approximate the numbers 8.9 and √8. 99. (Round your answers to 4 decimal places). √√8.9 = √8.99- A Draw and graph f(x) and L(x). In the box below, write "see graph" then draw the graph on your written work to upload to D2L.