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Find the point on the curve y = / for which the tangent line to the curve is perpendicular to the line 432x + 3,

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Find the point on the curve y = / for which the tangent line to the curve is perpendicular to the line 432x + 3, 645y + 45 = 0. Note: Write the exact answer but not the approximate value (For example write but not 0.8). Answer: The point is (x, y) where y =For what values of m E [0, 211'] does the graph of y = \/ .73 + 2cos a: have a horizontal tangent? Note: 4 Write the exact answer but not the approximate value (For example write but not 0.8). Your answer should be written in terms of Pi or pi or 1r if there is a 5 71' in the answer. Answer: The smaller value of :L' is a): a L." The larger value of m is it: [3' B For what value of a: does the tangent line to the curve 3; = 8 + 106'" 7 8:12 is parallel to the line 5:1: 7 5y = 6 ? Note: Write the exact answer but not the approximate value (For example write % but not 0.8). Also write In (%) not In% or log_e ( %) Answer: 1 = E] a Find an equation of the tangent line to the curve y = 95111933) at the point (0, 1) Note: Write the exact answer but not the approximate value. Write In for natural logarithm not log_e or log Answer: The equation of the tangent line is y 2 ma: + b where m: .a and 5: IE]

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