MTH1W
What is the equation of the line that is perpendicular to y = 3x - 4 and with the same y-intercept?
y=-1/3x-4
Given the following sequence: 2, 4, 6 ...
The sum of the first 6 terms is:
30
f(x) = 1/sqrt(x)
What is the sum of the nth row of Pascal's triangle?
2^n
Determine the area under the curve of y = x^2 on xe[0,1].
1/3
Name the 5 categories of numbers in the real number system.
Natural, whole, integers, rational, irrational
prove the identity:
sinx = (sinx+tanx)/(1+secx)
LS = RS QED (Quite Easily Done)
If f(x) = sinx, then f''(x) = ?
f''(x) = -sinx
3:10
Determine the indefinite integral of:
f(x) = x - 3
x^2 - 3x + C
infinity - infinity = ?
infinity
Determine the exact value of cos45 + csc45
1
They are perpendicular.
How many ways can the math department be arranged at the table (assuming there are 13 of us here and that there are 13 seats)?
(Expression is fine)
12!
What are the "polar coordinates"?
When each point on a plane of a two-dimensional coordinate system is decided by a distance from a reference point and an angle is taken from a reference direction.
The Great Pyramid of Giza has a height of 300 cubits and a width of 250 cubits. What is the slope of the pyramid?
m=6/5
Explain the ambiguous case (I need help)
Hopefully I get it now
State the asymptote(s) of f(x) given:
f(x) = [(x-1)(x-2)(x+4)]/[(x-1)(x-3)]
x = 3
How many ways can the word "Clemenzi" be rearranged? (Expression is fine)
8!/2!
Is the following piece-wise function continuous? (Show your work)
g(x) = {2x, x<6} ,{x-1,x>6}
Nope :)
Determine the error in the pseudocode:
Output "Enter your Unit 1 test mark"
Store user input as unit1_mark
Output "Enter your Unit 2 test mark"
Store user input as unit2_mark
avg = (unit1_mark+unit2_mark)*(1/2)
Output "Your average is average"average is an undefined variable
4^(4m-1)=1/64
m=-1/2
What are the ratios of the optimal measurements (radius and height) to maximize the volume of a cylinder?
h=2r
50%
:)