Parametric curvesa. Flat the following curves, indicating the positive orientation.b. Eliminate the parameter to obtain an equation in x and y.c. Identify or briefly describe the curve.d. Evaluate dy/dx at the specified point.x = 10 sin 2t, y = 16 cos 2t, for 0 ? t ? ?; evaluate dy/dx at .

Solution 4REStep 1:Given thatx = 10 sin 2t, y = 16 cos 2t, for 0 t Step 2:To finda. Flat the following curves, indicating the positive orientation.b. Eliminate the parameter to obtain an equation in x and y.c. Identify or briefly describe the curve.d. Evaluate dy/dx at the specified point. evaluate dy/dx at .Step 3:a. The following curves, indicating the positive orientation. Step4:b. The parameter to obtain an equation in x and y.x= 10. Sin 2t y= 16 cos 2tSin 2t= ……(1) cos 2t =-------(2)Square both equation both side and add we get2t=1Step 5:C. The curve is moving twice around the unit circle.Step 6:=1Differentiate both side we get=-At point ==