Eliminate the parameter from the pair of parametric equations. Graph the resulting Cartesian equation, a describe the resulting curve.x=-9t2,y=3t,-tFind the slope of the line tangent to the given polar curve at the given point. r=2cos;(1,)Find the area of the specified region.Inside the circle r=32sin and outside the cardioid r=1-cos Your work must include:(a) a sketch of the region (with an identified scale) and its bounding curves(b) all the intersection points of curvesFind the length of the curve.The spiral r=e5,0Choose ONE of Problem 5 or Problem 6 to complete and to submit.Find the standard-form equation of the conic section centered at the origin and satisfying the gi the conic section in your response and a sketch of its graph (with an identified scale).An conic section with vertices (-7,0), major axis 2**7=14 and foci at (-4,0)Find the standard-form equation of the conic section centered at the origin which satisfies th the conic section in your response and a sketch of the graph (with an identified scale).Vertices at (0,6) and (0,-6); foci at (0,11) and (0,-11)Find the limit.lim{:[(x,y)(5,4)]y4y-4x2y9y-4x2-36mework_Chapter 3iHelpSave Eliminate the parameter from the pair of parametric equations. Graph the resulting Cartesian equation, a describe the resulting curve.x=-9t2,y=3t,-tFind the slope of the line tangent to the given polar curve at the given point. r=2cos;(1,)Find the area of the specified region.Inside the circle r=32sin and outside the cardioid r=1-cos Your work must include:(a) a sketch of the region (with an identified scale) and its bounding curves(b) all the intersection points of curvesFind the length of the curve.The spiral r=e5,0Choose ONE of Problem 5 or Problem 6 to complete and to submit.Find the standard-form equation of the conic section centered at the origin and satisfying the gi the conic section in your response and a sketch of its graph (with an identified scale).An conic section with vertices (-7,0), major axis 2**7=14 and foci at (-4,0)Find the standard-form equation of the conic section centered at the origin which satisfies th the conic section in your response and a sketch of the graph (with an identified scale).Vertices at (0,6) and (0,-6); foci at (0,11) and (0,-11)Find the limit.lim{:[(x,y)(5,4)]y4y-4x2y9y-4x2-36mework_Chapter 3iHelpSave