Why might there be two possible solutions when solving problems using trigonometry?

The ambiguous case of the sine rule

A pdf is given by f\left(x\right)=kx^2,\left[0,2\right]. How do you find k?

Integrate between 0 and 2, put equal to one and solve

In order to find a point of inflection, you need to...

find the second derivative, put it equal to zero and solve

A pdf is given by f\left(x\right)=\frac{1}{x^2},\left[0,2\right]. How do you find the mean?

Multiply by x, then integrate between 0 and 2

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Methods Unit 4 - Retrieve It!

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Answers

1
Why might there be two possible solutions when solving problems using trigonometry?
The ambiguous case of the sine rule
The curious case of Benjamin Button
The ambiguous case of the cosine rule
The curious incident of the dog in the night-time
2
A pdf is given by f\left(x\right)=kx^2,\left[0,2\right]. How do you find k?
Multiply by x squared, then integrate between 0 and 2
Integrate between 0 and 2, put your pen down and then get lunch
Multiply by x, then integrate between 0 and 2
Integrate between 0 and 2, put equal to one and solve
3
The second derivative of the position function will give you...
acceleration
position
displacement
velocity
4
What is the z-value for a 95% confidence interval?
1.96
1.92
1.64
2.58
5
Which calculator function would you use to calculate P(X<c)=0.2
Ncd
Bpd
Bcd
InvN
6
In order to find a point of inflection, you need to...
find the first derivative
find the second derivative, put it equal to zero and solve
find the second derviative
find the first derivative, put it equal to zero and solve
7
Which of the following calculator functions does the same as the Binomial Probability formula on the formula sheet?
Npd
Bpd
Bcd
Ncd
8
Which of the following options will reduce a confidence interval?
Increasing the level of confidence
Increasing the sample size
Decreasing the sample size
Finding the second derivative
9
If the second derivative is negative the graph is...
concave down
concave up
a point of inflection
a stationary point of inflection
10
Which of the following conditions is not applicable to a binomial experiment?
Two outcomes: 'success' or 'failure'
Fixed probability of 'success'
Variable number of trials
Fixed number of trials
11
You are answering a normal distribution question. What will make Mr Pollock sad?
Writing out a X~N(mu, sigma squared) statement
Using the correct functions on your calculator
Not drawing a diagram
Getting full marks on the question
12
A pdf is given by f\left(x\right)=\frac{1}{x^2},\left[0,2\right]. How do you find the mean?
Integrate between 0 and 2, put equal to one and solve
Multiply by x squared, then integrate between 0 and 2
Integrate between 0 and 2, put your pen down and then get lunch
Multiply by x, then integrate between 0 and 2

Methods Unit 4 - Retrieve It! Flashcards | StudBud