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. Question 2 > Textbook @ Videos ' [+] Use linear approximation, i.e. the tangent line, to approximate v 64.3 as follows: Let f(a) = vac. Find the equation of the tangent line to f(x) at x = 64 L(ac) = Using this, we find our approximation for v64.3 is NOTE: For this part, give your answer to at least 9 significant figures or use an expression to give the exact answer.0 Question 3 v | Textbook f @ Videos? [+] The linear approximation at :3 = 0 to sin(4a:) is A + Ba: where A is: and where B is: ' O Question 5 Textbook @ Videos ' [+] Use linear approximation, i.e. the tangent line, to approximate v8.4 as follows: Let f(a) = x. The equation of the tangent line to f(a) at a = 8 can be written in the form y = mx + b where m is: and where b is: Using this, we find our approximation for V8.4 is0 Question 6 v Textbook @ Videos _' [+] Let y = tan(2x + 5). Find the differential dy when a = 4 and dx = 0.3 Find the differential dy when x = 4 and dx = 0.6Question 9 Textbook @ Videos _' [+] Let y = 4,x. Find the change in y, Ay when a = 3 and Ax = 0.4 Find the differential dy when x = 3 and da = 0.40 Question 11 v I Textbook '__' 6 Videos 5 [+] Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 0.1 cm thick to a hemispherical dome with a diameter of 45 meters. cubic centimeters Question 14 Textbook @ Videos ' [+] Let y = 2x2 + 5x + 2. If Ax = 0.4 at x = 3, use linear approximation to estimate Ay Ay ~
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