Find a function f(x) = a + b sqrt(x) that is tangent to the line 2y - 3x = 5 at the point (1,4) AND Find a function of the form f(x)=c+dcoskx that is tangent to the line y=1 at the point (0,1) and tangent to the line y=x+(3/2) - (pi/4) at the point ([pi/4], [3/2)

Question

Find a function f(x) = a + b sqrt(x) that is tangent to the line 2y - 3x = 5 at the point (1,4)     AND     Find a function of the form f(x)=c+dcoskx that is tangent to the line y=1 at the point (0,1) and tangent to the line y=x+(3/2) - (pi/4) at the point ([pi/4], [3/2)