IGCSE, Edexcel, IB and AP Science Courses | Dr Dabour Hub Academy

1.

If $y = \sec(3x)$, then the derivative $\frac{dy}{dx}$ is equal to:

A) $3sec(3x) tan(3x)$

C) $-3csc(3x) cot(3x)$

B) $sec(3x) tan(3x)$

D) $3sec^2(3x)$

2.

If $x = \sin t$ and $y = \cos t$, then the second derivative $\frac{d^2y}{dx^2}$ is equal to:

B) $-sec^3 t$

C) $-tan t$

D) $csc^2 t$

A) $-cos t$

3.

In the arithmetic sequence (3, 7, 11, 15, ...), the common difference d and the 20th term (T_20) are respectively:

d = 5 and T_20 = 98

d = 4 and T_20 = 79

d = 4 and T_20 = 83

d = 3 and T_20 = 60

4.

If a, b, c form an arithmetic sequence, then the arithmetic mean b equals:

b = sqrt(a * c)

b = (a + c) / 2

b = a + c

b = 2 a c / (a + c)

5.

If y = (2x + 1) * (3x - 4), then dy/dx evaluated at x = 1 equals:

1

7

-5

12

6.

If y = sin(3x) + cos(2x), then dy/dx at x = 0 equals:

3

5

1

-2

7.

If $\alpha, \beta, \gamma$ are the direction angles of a vector, then $\cos^2 \alpha + \cos^2 \beta + \cos^2 \gamma$ equals:

B) 1

C) 2

D) 3

A) 0

8.

The volume of the solid generated by revolving the region bounded by $y = \sqrt{x}$, $y = 0$, and $x = 4$ about the x-axis is:

A) $4pi$

C) $16pi$

D) $32pi$

B) $8pi$

Curriculum

Mathematics

Unit 1

Unit 2

Unit 3

Unit 4

Unit 5

Unit 6

Unit 7

Lesson 1 Quiz: Counting Principle, Permutations (nPr) and Combinations (nCr)

Quiz finished, well done