Parametric curvesa. Plot 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 = ln t, y = 8 ln t2, for 1 ? t ? e2; evaluate dy/dx at (1, 16).

Solution 5REStep 1:Given thatx = ln t, y = 8 ln t2, for 1 t e2Step2: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 (1,16)Step3:a. The following curves, indicating the positive orientation. Step 4:b. The parameter to obtain an equation in x and y.x= In ty= 8 In y=16 In tPut value of x= In t in y=16 In t we gety=16 xStep5:C. The curve is straight line with slop=16 and intercept=0Step6:y=16 xDifferentiate both side we getAt point (1,16)=16