Question: Find the linear approximation L(X) of the function g(X} = :11 + x at a = 0. L(X) 2: Use it to approximate the numbers

 Find the linear approximation L(X) of the function g(X} = :11+ x at a = 0. L(X) 2: Use it to approximatethe numbers 3; 0,95 and i. (Round your answers to three decimalplaces.) Find the differential of the function. V 5 -+8 dy =(a)Find the differential dy. y = COS(TIX) dy = (b) Evaluate dyfor the given values of x and dx. (Round your answer tothree decimal places.) X = 1 dx = -0.1. 3 dy =(a)Find the differential dy. X + 5 V = X - 5
dy = (b) Evaluate dy for the given values of x anddx. x = 3, dx = -0.05 dy =\fUse a linear approximation(or differentials) to estimate the given number. (Round your answer to fourdecimal places.) cos(28) :]image text in transcribedimage text in transcribedimage text in transcribedimage text in transcribed

Find the linear approximation L(X) of the function g(X} = :11 + x at a = 0. L(X) 2: Use it to approximate the numbers 3; 0,95 and i. (Round your answers to three decimal places.) Find the differential of the function. V 5 -+8 dy =(a) Find the differential dy. y = COS(TIX) dy = (b) Evaluate dy for the given values of x and dx. (Round your answer to three decimal places.) X = 1 dx = -0.1. 3 dy =(a) Find the differential dy. X + 5 V = X - 5 dy = (b) Evaluate dy for the given values of x and dx. x = 3, dx = -0.05 dy =\fUse a linear approximation (or differentials) to estimate the given number. (Round your answer to four decimal places.) cos(28) :]

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