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# hw3-31 - Homework 3/31 Part 1 1 Use dierentials to...

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Homework 3/31 Part 1: 1. Use differentials to approximate (2 . 002) 5 . 2. Use differentials to approximate (1 . 997) 5 . 3. Use differentials to approximate (2 + h ) 5 . 4. Use differentials to approximate ( x ) 5 near x = 2. NOTE: Your answer to this problem is called the linearization of x 5 at x = 2. 5. Graph y = x 5 and the linearization at x = 2 on the same axes. Your graph must extend at least from x = 0 to x = 3. 6. Use your linearization to solve x 5 = 35. 7. Use your calculator to solve x 5 = 35. Part 2: Warning!. Work this problem in radians! 1. Use differentials to approximate tan 46 . [Hint: Convert Δ x = 1 to radians.] 2. Use differentials to approximate tan 44 . 3. Use differentials to approximate tan( π/ 4 + h ). 4. Use differentials to approximate tan x near x = π/ 4. Simplify your answer. NOTE: Your answer to this problem is called the linearization of tan x at x = π/ 4. 5. Graph y = tan x and your answer to part (4) on the same axes. Your graph must extend at least from x = 0 to x = π/ 2. 6. Use your linearization to solve tan x = 5 / 6. 7. Use your calculator to solve tan

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