please help me with these questions:

1.

Find an equation of the tangent line to the curve 3; = 9tan(9m) at the point (0, 1) Note: Write the exact answer but not the approximate value. Write In for natural logarithm not |og_e or log Answer: The equation of the tangent line is y: Find the point on the curve 3; = 33/2 for which the tangent line to the curve is perpendicular to the line 5:1: + 4y + 3 = 0 . 4 Note: Write the exact answer but not the approximate value (For example write but not 0.8). 5 Answer: The point is (any) where For what value of as does the tangent line to the curve y = 5 + Gem 4:1: is parallel to the line 6m 6y = 9 ? Note: Write the exact answer but not the approximate value (For example write i but not 0.8). Also write In (%) not In l or Iog_e(%) 5 2 Answer: 2:: For what values of a: E [0, 271'] does the graph of y = :1: + 2 0051: 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 71' ii there is a 5 7r in the