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Find the linearization L(x) of f(x) at x = a. 14 ) f(x) = 3x2+ 4x + 1, a =3 14) A) L(x) = 22x - 26 B) L(x) =22x + 28 C) L(x) = 14x - 26 D) L(x) =14x +28 15) f(x) = V4x + 49, a =0 15) A) L ( x ) = =x-7 B ) L ( x ) = =x +7 C) L ( x ) = =X-7 D) L(x ) = =X+7 Express the relationship between a small change in x and the corresponding change in y in the form dy = f'(x) dx. 16) y = 5x2 - 2x - 7 16) A) dy = 10x - 7 dx B) dy = 10x dx C) dy = (10x - 2) dx D) dy = 10x - 4 dx 17) y = x15x + 8 17) A) dy =- 15x + 16 x 215x + 8 B) dy = 15x - 16 dx 5x + 8 C) dy = 15x + 16 dx 15x - 16 15x + 8 D) dy = - 215x + 8 = dx Use the differential to approximate the quantity to four decimal places. 18) In 1.07 18) A) 0.0677 B) -0.0726 C) 0.0700 D) -0.0700 19) e0.49 (e raised to the power 0.49) Hint: Let a= 0.50 19) A) 1.4900 B) 0.6,126 C) .5100 D) 1.6323 20) V101 20) A) 10.0500 B) 10.1000 C) 9.9500 D) 11.0000