this needs to be done in a MAPLE form.

Example: Given the equation 2x + ) - x + y=8 and the point P(2,1) (a) Find two explicit expression in terms of x by solving the equation for y. (b) Plot the curve with the aid of the implicitplot command. (c) Use the implicitdiff command to find the derivative of y with respect to x, and find the slope at the given point P. (d) Use the slope found in part (c) to find an equation for the tangent line to the curve at P. Then plot the equation together with the tangent line on a single graph. > eqn:= 2*x^2+y^2-x+y=8; eqn := 2x+y-xty=8 (1) L(a) > solve(eqn, y); -8x- +4x+33 -8x- +4x+33 2 + (2) 2 2 [(b) > with(plots): > implicitplot(eqn, x=-5..5,y=-5..5, scaling=constrained); [(c) > implicitdiff(eqn, y,x); 4 x - 1 (3) 2y+1 > subs({x=2,y=1), -(4*x - 1)/(2*y + 1)); w / - (4) > m:=-7/3; (5)Assignments 1. For the following equation y' +y= ~, p(0. 1): 1 - x (a) Plot the equation with the aid of the implicitplot command. (b) Use the implicitdiff command, find the formula for the derivative dy dx 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 line on a single graph. 2. Given the equation x -y-+4x -6y=9 (a) Find two explicit expressions in terms of x by solving the equation for y. (b) Find dy dx using implicitdiff command. 3. Given the equation 2 sin(x) cos(y) = 1, find the slope at the given point 4 ' 4