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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
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
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