please help with assignment. please use maple software to help with this question. Please help with each part to the question. PLEASE DO NOT USE AI to help with the question. please use maple sofeware. DO NOT USE CHATGPt.

PLEASE USE MAPLE SOFTWARE!!!

IV. Implicit Functions 1. a) Plot the curve x3 4xy + 2y? = 0 as x varies between -3 and 3 with the aid of the implicitplot command. b) Find 2 at all points (x, y) on the curve for which x=1. c) Find the equations of the lines tangent to the curve at the points you found in part b. d) Plot the curve and the tangent lines on the same set of axes. 2+x 2. For the following equation y? + y = Ty' P(0,1): a) Plot the equation with the implicitplot command. Check to see that the given point P satisfies the equation. b) Using the implicitdiff command, find the formula for the derivative = and find the slope at the given point P. c) Use the slope found in part (b) to find an equation for the tangent line to the curve at P. then plot the equation together with the tangent 3. Given an implicit function (x + y)? = x3 + y? and point P(1,1). a) Use the implicitdiff command to find the derivative of y with respect to x. b) Using the result of part a) to evaluate the derivative at P. 4. Given the equation: x2 y? + 4x 6y =9 a) Find the two explicit expressions in terms of x by solving the equation for y. b) Find = using implicitdiff command. 5. Given the two equations -- eq1 == x? = 3(y 1)and eq2 := x(3y 29) = 3. Sketch the graphs of eq1 and eq2 on the same coordinate system using the implicitplot command