Question: Calc 3 Practice questions Copy and paste all graphs. Include them i f possible. Answer the questions with the process. Normal and Osculating Planes Plot

Calc3
Practice questions
Copy and paste all graphs. Include them if possible. Answer the questions with the
process.
Normal and Osculating Planes
Plot the following space curves on Maple. Then find and plot the normal and
osculating planes on the curve for some fixed value oft(use two different plots for
the normal and osculating planes)
ar(t)=3sint,3cost,4t>
Normal Plane Equation att=1 :
Osculating Plane Equation att=1 :
Normal Plane Equation att=:
Osculating Plane Equation att=:
br(t)=t22,t482,t66>; for t>0
Normal Plane Equation att=1 :
Osculating Plane Equation att=1 :
Normal Plane Equation att=2 :
Osculating Plane Equation att=2 : Level Curves
Plot the 3D graph of the functions, then plot the level curves in2D. You may use
plot the level curves in2D first then 3Dto get an understanding on the behavior on
the level curves.
af(x,y)=9-x2-y22
cf(x,y)=-3yx2+y2+1
cf(x,y)=sin(xy)
df(x,y)=-xye-x2-y2
Calc 3 Practice questions Copy and paste all

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