There are 6 questions. Please answer them accordingly.

0 Question 1 B 0110 pts '0 100 8 99 (D Details Use linear approximation, i.e. the tangent line, to approximate 25.2 as follows: Let f(a:) = . Find the equation of the tangent line to f(:12) at m = 25 W) = Using this, we find our approximation for 25.2 is NOTE: For this part, give your answer to at least 9 significant figures or use an expression to give the exact answer. Question Help: El Video El Message instructor Submit Question Jump to Answer 0 Question 2 E4 0/10 pts '0 100 8 99 6) Details 1 as follows: Let m) = E and find 1 0.203 Use linear approximation, i.e. the tangent line, to approximate the equation of the tangent line to f (as) at a "nice" point near 0.203. Then use this to approximate Question Help: El Video 8 Message instructor Submit Question Jump to Answer 0 Question 3 B 0/10 pts '0 100 8 99 (D Details Use linear approximation, i.e. the tangent line, to approximate {78.1 as follows: Let f(9:) = 6/5. The equation of the tangent line to f(a:) at a: = 8 can be written in the form y 2 ma: + b Using this, we find our approximation for $78.1 is Question Help: El Video El Message instructor Submit Question Jump to Answer 0 Question 4 E 0/ 10 pts '0 100 8 99 (D Details Let y = tan(2$ + 2). Find the differential dy when a: = 5 and d9: = 0.2 Find the differential dy when a: = 5 and dm = 0.4 Question Help: El Video El Message instructor Submit Question Jump to Answer Question 5 0/10 pts ' 100 99 0 Details Let y = 5x2 Find the change in y, Ay when x = 5 and Ax = 0.1 Find the differential dy when x = 5 and da = 0.1 Question Help: Video Message instructor Submit Question Jump to Answer Question 6 0/10 pts 100 99 0 Details Let y = 3 x. Find the change in y, Ay when x = 5 and Ax = 0.1 Find the differential dy when x = 5 and dx = 0.1 Question Help: Message instructor Submit Question Jump to