Math's

Linear Algebra

100

The value of x in x+2=5

What is 3?

200

The value of x in the 2(3+4x)=-2

What is -1?

300

The intersection of the following equations

y=2x+1

y=-x+4

What has the intersection point (1,3)?

400

A=  3  -4               B=    -1

      5  -6                        2

AX=B

The value of X is

What is     7             ?

               11/2

500

The reduced row echelon form of 

3   2   5    27

1   5  -4    -2

-4  3  -6   -1

Hint: use Rref on calculator

1  0  0  -2

0  1  0   4

0  0  1   5

Numbers

100

1/5 is what kind of number

What is a rational number.

200

15/5 is this kind of number.

What is an integer?

300

This is the set of numbers between negative infinity and positive infinity.

What are real numbers?

400

The complex conjugate of z=12+6i

What is z=12-6i

500

Solve z^2=9cis(pi/2) for z

What is z=3cis(pi/4) and z=3cis(-3pi/4)

Calculus

100

The gradient of y=2x+1

What is 2?

200

The gradient of the line connecting the points (1,2) and (3,6).

What is 2?

300

A bus takes 2 hrs to travel 120km. However, it took a 30 minute stop. Determine its average speed.

What is 80km/hr?

400

Find the determinant of 

y=x^3+2x^2+6x+5

What is y= 3x^2 +4x+6

500

Determine the general solution to 

dy/dx+12x^3=0

What is  y=-3x^4+c