Show:
Errors
Functions
Keyboard Shortcuts
Calculus III
Star Trek
100
f[x_,y_] = x + Cos(y);
You need to use [] not () when specifying the input of a function.
100
The function you'd use to do a 2D parametric plot.
What is ParametricPlot?
100
The keyboard shortcut used to make the square root symbol.
What is ctrl + 2?
100
This can be used to tell whether or not two vectors are perpendicular.
What is the dot product?
100
Who was the chief engineer on the original Star Trek series?
Who is Montgomery Scott?
200
That[t_] = r'[t]/Norm[r'[t]];
Need to use Sqrt[r'[t].r'[t]] instead of Norm[r'[t]].
200
The function you'd use to numerically find the solution of x = cos(x).
What is FindRoot?
200
The keyboard shortcut used to make a superscript (for an exponent).
What is ctrl + ^?
200
The function x = y^2 makes this shape in 3D space.
What is a cylindrical parabola parallel to the z-axis?
200
In the original series, this actor plays Hikaru Sulu (the helms man)
Who is George Takei?
300
Integrate[1, {y, -Sqrt[1-x^2], Sqrt[1-x^2]}, {x, -1, 1}]
The order of integration is switched.
300
The four functions you'd use to plot a paraboloid and a sphere on the same graph.
What is Plot3D or ContourPlot3D, Graphics, Sphere, and Show?
300
The keyboard shortcut used to make the Pi symbol.
What is esc + pi + esc?
300
To find the extrema of a function given some constraint, we would use this method.
What are Lagrange multipliers?
300
Star Trek Into Darkness is based off Star Trek II: The Wrath of Khan from the original series, however there are many difference. For instance, this main character died in The Wrath of Khan but did not die in the reboot version.
Who is Mr. Spock?
400
Plot[ x^2, 2x, {x, -5, 5}, PlotRange -> {-1, 1}, AxesLabel -> {"x","y"}];
The two functions need to be in curly braces since it's a list.
400
The function you would use to plot a helix
What is ParametricPlot3D?
400
The keyboard shortcut used to make a fraction.
What is ctrl + /?
400
You would probably want to use this coordinate system to integrate over a solid that is symmetric about the origin
What are spherical coordinates?
400
What race was the federation at war with during the original series, but allies with during Star Trek: The Next Generation?
What are Klingons?
500
ParametricPlot3D[{{4 + (3 + Cos[v]) Sin[u], 4 + (3 + Cos[v]) Cos[u], 4 + Sin[v]}, {8 + (3 + Cos[v]) Cos[u], 3 + Sin[v], 4 + (3 + Cos[v]) Sin[u]}}, {u, 0, 2 Pi}, {v, 0, 2 Pi}, PlotStyle -> {Red, Green}]:
Should end with a semicolon, not a colon
500
The line of code that clears all variable definitions.
What is Clear["Global`*"]?
500
The keyboard shortcut use to make the integral "s" symbol.
What is esc + int + esc?
500
The theorem that allows you to rewrite a line integral as a surface integral (Green's theorem is a special case of this theorm).
What is Stokes' theorem?
500
This is how the original James Kirk died.
What is being crushed by a bridge?