Calculus 12th grade (double check my work please)
posted by anon .
2 given the curve is described by the equation r=3cos ¥è, find the angle that the tangent line makes with the radius vector when ¥è=120¨¬.
A. 30¨¬
B. 45¨¬
C. 60¨¬
D. 90¨¬
not sure A or D
2.) which of the following represents dy/dx when y=e^2x Sec(3x)?
A.3e^2x sec(3x) tan (3x)2e^2x Sec(3x)<<<< my choice
B.)3e^2x sec(3x)tan (3x)2xe^2x sec(3x)
C.)3e^2x sec(3x)tan (x)2e^2x Sec(3x)
D.)3e^2x sec(3x)tan (x)2xe^2x sec(3x)
3.)calculate dy/dx if y=Ln(2x^3+3x)
A.)1/2x^3+3x
B.)1/6x^2+3
C.)2x^3+3x/6x^2+3
D.)6x^2+3/2x^3+3x <<<< my choice
Thank you!

2 and 3 are right.
the first one is a trick question. It is a circle, so the tangent line is always 90 degrees to the radius