Command Mode: Press ESC to activate. The cell has a blue border if this mode is active. In this mode, you can add, delete, create, copy and paste cells.¶
create a new cell above the current cell: a
create a new cell below the current cell: b
delete the current cell: dd
change the current cell’s type to “Code”: y
change the current cell’s type to “Markdown”: m
Edit Mode: Press ENTER to activate. The cell has a green border if this mode is active. In this mode, you can edit and type text into the cell.¶
execute the current cell and create a new cell: SHIFT + ENTER
Write code to compute the following. Remember to import the math library.¶
$2^{16}$
$\dfrac{2-(3+4\cdot7)}{5}$
$(2-3i)+(4+i)$
$(2+i)(4-3i)$
$\sqrt{234}$
13//4
-10 // 3
$\sin(3\pi/5)$ (Use math.pi)
In [ ]:
Compute the following boolean expression with code.¶
x = 3
y = 10
z = -5
$x\leq 1$ or $y = 10$
$z > 0$ and $y > 0$
not $(x\neq 3$ or $y >= -5)$
In [ ]:
Mike's total on five tests is 384. What is the average of his tests?¶
In [103]:
total=384
Suppose that $a=5, b=2, c=6$ are three sides of a triangle. The area of the triangle is given by $$A=\sqrt{s(s-a)(s-b)(s-c)}$$¶
where $s=\dfrac{a+b+c}{2}$. Compute the area of this triangle. Your code should include all 5 variables.¶
In [ ]:
Use the quadratic formula to solve $x^2+4x-3=0$. The quadratic formula is¶
Your answers should be 0.6457513110645907 and -4.645751311064591.¶
In [1]:
importmath# use math.sqrt()
If today is Monday. Which day of the week is $4534$ days from now? (Hint: Use %).¶
In [ ]:
How many hours, minutes and seconds are in t=9452 seconds? Hint: First use // to find the number of hours then % to extract the remaining difference. Then repeat for minutes and seconds.¶
Create at least four other variables: hours, minutes and seconds and remaining.¶