Yr2 Hyperbolic Functions Flashcards

1
Q

Substitution for the integration can be guessed from the question and the FG…

A

x = (3/2) sinh u, the coefficient of this can be found through a/(coefficient of x)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

The limit for x is where…

A

the denominator is equal to 0

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

Remember the ln may have…

A

+- in front of it

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

Remember when you know that you need x^2…

A

REARRANGE FOR X

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

When integrating by parts…

A

I would try both u and v and integrate to save time (in-case your wrong).

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

To show that something is divergent…

A

as t -> ∞, e^t -> ∞ and e^-t -> 0, therefore it is divergent.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

Remember that sin, cos and tan…

A

have a range of solutions that must be -1 < p < 1, and this range can be changed based on the multiple in front of the range.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly