Select the graph which satisfies all of the given conditions. Justify your answer in terms of...
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Select the graph which satisfies all of the given conditions. Justify your answer in terms of derivatives and concavity information below. You should explain why the graph you chose is correct as opposed to a solution by eliminating options. Specifically, your explanation should be a guide for how to construct the appropriate graph given only the information below and not the answer choices. f' (-3) = f' (2) = 0 Increasing on (-3,2) U (2,00) " ( 3 ) = " (2) = 0 Concave upward on (-, -1) U (2,00) Decreasing on (-, -3) Concave downward on (-/13,2) Find the linearization of the function f (x) = L(x) = x -1.1 -1.01 b a -1.001 a b -3 x-4 a Find the true values of f (x) and the approximations using L (x) below. Round all of your answers to 3 decimal places. You can use a calculator, spreadsheet, browser, etc. to calculate the exact values. |a| The exact value f(x) Number Number Number 3x+2 at x = -1. sin (a) The approximate value L (x) Number Number Number Compute the values of dy and Ay for the function y = e3x + 5x given x = 0 and Ax=dx = 0.03. Round your answers to four decimal places, if required. You can use a calculator, spreadsheet, browser, etc. to calculate dy and Ay dy = Number Ay = Number Select the graph which satisfies all of the given conditions. Justify your answer in terms of derivatives and concavity information below. You should explain why the graph you chose is correct as opposed to a solution by eliminating options. Specifically, your explanation should be a guide for how to construct the appropriate graph given only the information below and not the answer choices. f' (-3) = f' (2) = 0 Increasing on (-3,2) U (2,00) " ( 3 ) = " (2) = 0 Concave upward on (-, -1) U (2,00) Decreasing on (-, -3) Concave downward on (-/13,2) Find the linearization of the function f (x) = L(x) = x -1.1 -1.01 b a -1.001 a b -3 x-4 a Find the true values of f (x) and the approximations using L (x) below. Round all of your answers to 3 decimal places. You can use a calculator, spreadsheet, browser, etc. to calculate the exact values. |a| The exact value f(x) Number Number Number 3x+2 at x = -1. sin (a) The approximate value L (x) Number Number Number Compute the values of dy and Ay for the function y = e3x + 5x given x = 0 and Ax=dx = 0.03. Round your answers to four decimal places, if required. You can use a calculator, spreadsheet, browser, etc. to calculate dy and Ay dy = Number Ay = Number
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