Find an equation for the line tangent to the curve at the point defined by the given value of t. Also, find the value of at this point. x =t - sin t, y = 1 - 5 cos t, t= = Write the equation of the tangent line. y = x + (D) (Type exact answers, using x as needed.)Assuming that the equation defines x and y implicitly as differentiable functions x = f(1), y = g(t), find the slope of the curve x = f(t), y = g(t) at the given value of t. x + 21? =9. 2y - 31 = 116, t = 2 The slope of the curve at t=2 is . (Type an integer or simplified fraction.)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 =t' +t. y+51 =5x+12. 1=2 The slope of the curve at t=2 is . (Type an integer or a simplified fraction.)Find the area under one arch of the cycloid x - 6a(t - sint), y = a(1 - cost) The area is (Type an expression using a as the variable. Type an exact answer, using x as needed.)Find an equation for the line tangent to the curve at the point defined by the given value of t. Also, find the value of at this point. x = 21 +6, y=1", t= -1 Write the equation of the tangent line