Assuming That the Equations Define X and Y Implicitly as Differentiable

question 220

Multiple Choice

Assuming that the equations define x and y implicitly as differentiable functions x = f(t) , y = g(t) , find the slope of the curve x = f(t) , y = g(t) at the given value of t.
- $x \cos t + x = 2 t , y = t \sin t + t , t = \frac { \pi } { 2 }$

• A) 2
• B) \(\frac { 1 } { 1 + \pi }\)
• C) \(2 + \pi\)
• D) \(\frac { 2 } { 2 + \pi }\)