Trigonometry
What is the reciprocal of sin(x)?
cosec(x)
Solve x2=3x
x=0,3
Data can be quantitative or ...?
Qualitative (or Categorical)
∫5x4 dx
x5 + Constant
≈
Approximately
If cos(x)=0.8, find sin2(x)
0.36
Write x2−4x+1 in the form (x−a)2+b
(x−2)2−3
A factory produces light bulbs. The mean lifetime of the bulbs is 500 hours with a standard deviation of 20 hours. A bulb's lifetime of 540 hours is how many standard deviations from the mean?
2
∫ sec2(x) .dx
tan(x)+ Constant
∫
Integral
What is the period of y=cos(x/2)?
In Radians
4pi radians
Find the value of k that makes x2+6x+k a perfect square
k=9
What's the relationship between variance and standard deviation?
Standard deviation is the square root of the variance (or vice versa)
(Switch Question)
∫e5x .dx
(1/5)e5x+ C
∣x∣
Modulus / Absolute value of xFor all
What is the value of 2cos2(45∘) −1 ?
0
Find the equation of a parabola with vertex (1,4) and passing through the origin
y=−x2+2x
(Steal Question)
The mean of 5 numbers is 12. If a new number, 18, is added, what is the new mean?
13
(Double Points)
∫(1/2x+3) .dx
1/2[ln(2x+3)] + C
(Shield)
!
Factorial
(Hint)
If sin(x) = pi, find the exact real value of cos(x)?
value of cos(x) does not exist since sin(x) cannot be pi, -1 <= sin(x) <= 1
(Steal Points)
Find the minimum value of the expression 2x2−4x+5
3
The heights of students in a class are 1.5m, 1.6m, 1.7m, and 1.8m. A student is randomly selected. What is the probability that the student's height is greater than the mean height of the class?
0.5
A particle's velocity is given by v(t)=2t. Find the displacement from t=0 to t=4
16
∂
Partial derivative