Question 1(a) Find the equations of the tangent and normal to the curve Question 1(b) Given that at the point x = 1, y = 2. show that Find the radius of curvature and the coordinates of the centre of curvature for the point on this curve where Question 2(a) If is the radius of curvature at any point P on the parabola and S is the point (0, a), show that p=2 (SP)3 SO where O is the origin of coordinates. Question 2(b) Differentiate the following functions with respect to x. (16) (24) (20) (8) (11) (12) Question 3 Find the stationary values of y and the points of inflexion on the graph of the function y= x²-6x+9x+6 and draw a sketch graph of this function. DFo Text Predictions: On Accessibility: Unavailable

Q: Sketch the graph of the parametric equations x = sint, y = 2 cos(3t), π ≤ t ≤ 27. Clearly label the…

A: We are to sketch the graph of the parametric equationsx = sint, y = 2 cos(3t), π < t < 2π.…

Q: Find the parametric equations for, the tangent line to the curve It)=4?+1) i t (t+ 4)Ĵ ť 3+3 R at…

A:

Q: Question 6 please

A: Step 1: Step 2: Step 3: Step 4:

Q: A curve's parametric equation is given by 3t 3t2 || Y = 1+ t3 ' 1+t3

A:

Q: true or false prove your answer If (an) is Cauchy and p is a number such that for infinitely many…

A: Given that              an is a Cauchy sequence and p is a number such that for infinitely many…

Q: a. Explain why the curve ²e + y²e = 4 passes through the point (0, 2). b. Give the equation of the…

A:

Q: Find the parametric equation to describe the following curve: b) the part of x = 2y^2 - 1 from…

A:

Q: Consider the parametric curve C defined by  x = x ( t )  and  y = y ( t ) . (a) Explain how to…

A: The parametric curve C defined by  x = x ( t )  and  y = y ( t ) has a horizontal tangent if slope…

Q: 10. a) The curves F₁ (t) = (t, t², t³) and F2 (s) = (sin t, sin 2t, t) intersect at the origin. Find…

A: 10. a) The curves vec r_{1}(t) = \langlet, t ^ 2, t ^ 3\rangle and vec r_{2}(s) = \langlesin t, sin…

Q: This is a dyamics problem

A: