ESAT ESAT Mathematics 3

Question 1

What is the area enclosed by y = x² and y = x between x = 0 and x = 1?

Accepted Answer

1/6

Answer

1/3

Answer

1/2

Answer

1/4

Question 2

What is the value of sin(π/6)?

Accepted Answer

1/2

Answer

√2/2

Answer

√3/2

Answer

1

Question 3

If a vector a = (3, 4), what is |a|?

Accepted Answer

5

Answer

7

Answer

√7

Answer

12

Question 4

What is the general solution to dy/dx = 2y?

Accepted Answer

y = Ce^(2x)

Answer

y = 2x + C

Answer

y = Ce^x

Answer

y = C·x²

Question 5

How many complex roots does x⁴ + 1 = 0 have?

Accepted Answer

4

Answer

2

Answer

0

Answer

1

Question 6

What is the dot product of vectors (1, 2, 3) and (4, -1, 2)?

Accepted Answer

8

Answer

12

Answer

10

Answer

6