MATH150: SEMINAR#13 QUESTIONSContent:Section 10.1:Curves Defined by Parametric EquationsSection 10.2:Calculus with Parametric Curves (Tangents only)Section 10.3:Polar CoordinatesQuestions:1. One of the graphs below is the graph of following parametric equations:x=t+ sin 4t,y=t2+ cos 3tIndicate which one. Give reasons for your choice.*2. Find an equation to the tangent line to the curvex=√t,y=t2-2tat the point corresponding tot= 4.3. Find an equation of the tangent to the curvex= 1 +√t,y=et2,at the point(2, e)by two methods:(a) Without eliminating the parameter.(b) First eliminating the parameter.4. Find an equation of the tangent to the curvex= sinπt,y=t2+tat the point(0,2). Then graph the curve and the tangent.*5. Letx=t2+ 1,y=et-1.(a) Finddy/dx.(b) Findd2y/dx2.(c) For which values oftis the curve concave upward?6. Given the parametric curvex=t(t2-3),y= 3(t2-3).(a) Find they-intercepts of the curve.(b) Find the points on the curve where the tangent line is horizontal or vertical.