Bits and bobs

Question 1

What is an odd function?

Answer 1

When -f(x) = f(-x)

Question 2

What is an even function?

Answer 2

When f(x) = f(-x)

Question 3

What are the limits if a function is rotated about the x axis?

Answer 3

X- Values

Question 4

When the function is rotated about the y-axis, what is the subject of the function?

Answer 4

X=…. (f(y))

Question 5

What does a row of zero’s indicate?

Answer 5

The equation is redundant. There are an infinite number of soliutions

Question 6

What happens if a row becomes 000:5?

Answer 6

The system of equations is inconsistent. There is no solution to the system of equations

Question 7

What is an ill-conditioned system of equations?

Answer 7

A small change in the equations leads to a significant change in the solutions.

Question 8

If x=y^3/4 what does y=?

Answer 8

y=x^4/3

Question 9

f’(y) =?

Answer 9

1/dx/dy

Question 10

If y=sin^(-1)x/a what does dy/dx equal?

Answer 10

(a^2-x^2)^1/2

Question 11

If y=cos^(-1)x/a what does dy/dx equal?

Answer 11

(a^2-x^2)^1/2

Question 12

If y=tan^(-1)x/a what does dy/dx equal?

Answer 12

a^2+x^2

Question 13

If the equation for a circle is x2 + y2 + 2gx + 2fy + c = 0, what is the centre?

Answer 13

(-g,-f)

Question 14

If the equation representing a circle is (x – a)2 + (y – b)2 = r2 what is the centre?

Answer 14

a,b

Question 15

What is the equation for the radius of a circle?

Answer 15

(g^2 +f^2 -c)^1/2

Question 16

What does dy/dx equal when differentiating parametric equations?

Answer 16

dy/dt x 1/dx/dt

Question 17

What is the formula to work out the second derivative of parametric equations?

Answer 17

d/dt of (dy/dx) x dt/dx

Question 18

What is the formula for integration in parts?

Answer 18

INT(fg’)=fg - INT(f’g)

Question 19

What is the domain and range for sin^-1x ?

Answer 19

Domain, between -90 and +90

Range, between -1 and 1

Question 20

What is the domain and range for cos^-1x?

Answer 20

Domain, between 0 and 180

Range, between -1 and 1

Question 21

What is the domain and range for tan^-1 x?

Answer 21

Domain, between -90 and +90

Range, between -infinity and positive infinity.

Question 22

What is the order of a differential equation?

Answer 22

The order of the highest derivative involved. dy/dx = 1st d^2y/dx^2 = 2nd

Question 23

What is the degree of a differential equation?

Answer 23

The power of the highest derivative involved.

Question 24

What is the formula for an arithmetic sequence?

Answer 24

Un= a+d(n-1)

Question 25

What is the formula for a geometric sequence?

Answer 25

Un=ar^(n-1)

Question 26

What is the formula for an arithmetic series?

Answer 26

Sn = n/2(2a + (n-1)d)

Question 27

What is the formula for an arithmetic series if you know the last term?

Answer 27

Sn = n/2 (a+L)

Question 28

What is the formula for a geometric series?

Answer 28

Sn = a(1-r^n)/(1-r)

Question 29

What is the formula for a geometric series when r > 1

Answer 29

Sn = a(r^n -1)/(r-1)