Find a linear differential operator that annihilates the given function. (Use D for the differential operator.) 1 + 3e2x

Find the linearization at x = a. f(x) = = 1/√₁0=7 a (Express numbers in exact form. Use symbolic notation and fractions where needed.) L(x) = question source: Rogawski 4e Calculus Early Transcendentals/publisher: W.H. Freeman

Solve da 3 9. 5 with (0) dt -1 -3 20 x1(t) : help (formulas) 22(t) : help T8 ||

A pan of boiling water with a temperature of 212°F is set in a bin of ice with a temperature of 32°F. The pan cools to 65°F in 33 minutes. (a) Find To, D, and a so that T(t) = T₁ + Dat models the data, where t is in hours. (b) Find the temperature of the pan after 15 minutes. (c) How long did it take the pan to reach 35°F? Support your result graphically. (a) To (Round to the nearest integer as needed.) =

Estimate v16.3 using the linearization L(x) of f(x) = Vx at a = 16. (Use decimal notation. Give your answer to three decimal places.) L(16.3) =

Find the linearization L(x) of the function f(x) x + at the point x = 3 (= a). A Give your answer in the form L(x) = =x+ 9. %3D where A and B are integers. A = (Enter integers.) %3D

The functions f(x) = x-1 and g(x) = 2-2x are linearly dependent. Justify your Answer T F