# Lab 1 # Name: # I worked on this code with: # Please do all of your work for this week's lab in this worksheet. If # you wish to create other worksheets for scratch work, you can, but # this is the one that will be graded. You do not need to do anything # to turn in your lab. It will be collected by your TA at the beginning # of (or right before) next week’s lab. # Be sure to put each exercise in a new cell with an exercise number at the top. # Use enough comments that you and the grader can understand your code. # Label axes on all graphs.

# 1 f(x,y)=x^2+y^2 plot3d(f(x,y), (x,-4,4), (y,-4,4))

3D rendering not yet implemented

#2 f(x)=x^2 dfdx = diff(f(x),x) m = dfdx.subs(x=0) g(x) = m*x plot(f(x), (x,-4,4), thickness=2, axes_labels=("X","Y"))+plot(g(x), (x,-4,4), color="red", thickness=2)

#3 f(y)=y^2 dfdy = diff(f(y),y) m = dfdy.subs(y=0) g(y) = m*y plot(f(y), (y,-4,4), thickness=2, axes_labels=("Y","X"))+plot(g(y), (y,-4,4), color="red", thickness=2)

#4 f(x,y)=x^2+y^2 g(x,y)=0 plot3d(f(x,y), (x,-4,4), (y,-4,4))+plot3d(g(x,y), (x,-4,4), (y,-4,4), color="red")

3D rendering not yet implemented

#5 z=(2*(x-2))+(-1*(y-3))-7 plot3d(z, (x,-4,4), (y,-4,4))+point3d([2,3,-7],color="red",size=10)

3D rendering not yet implemented