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

1.

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

B) $-sec^3 t$

A) $-cos t$

D) $csc^2 t$

C) $-tan t$

2.

If the tangent to y = x² - 4x + 5 is parallel to the x-axis, the point of tangency is:

(2, 1)

(2, 0)

(0, 5)

(4, 5)

3.

The integral $\int \frac{2x}{x^2 + 1}\, dx$ evaluates to:

B) $frac{1}{x^2 + 1} + C$

D) $(x^2 + 1)^2 + C$

C) $2arctan x + C$

A) $ln(x^2 + 1) + C$

4.

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:

B) $8pi$

A) $4pi$

D) $32pi$

C) $16pi$

5.

STEM Limits Problem 3: Evaluate the limit: lim [x -> 0] (sin(5x) / tan(2x)).

5/2 (or 2.5)

0

Undefined

1

6.

STEM Limits Problem 8: Evaluate the limit: lim [x -> 0] (sin(5x) / tan(2x)).

5/2 (or 2.5)

0

1

Undefined

7.

STEM Limits Problem 13: Evaluate the limit: lim [x -> 0] (sin(5x) / tan(2x)).

0

1

5/2 (or 2.5)

Undefined

8.

STEM Limits Problem 18: Evaluate the limit: lim [x -> 0] (sin(5x) / tan(2x)).

5/2 (or 2.5)

0

1

Undefined

9.

STEM Limits Problem 23: Evaluate the limit: lim [x -> 0] (sin(5x) / tan(2x)).

1

5/2 (or 2.5)

Undefined

0

10.

STEM Limits Problem 28: Evaluate the limit: lim [x -> 0] (sin(5x) / tan(2x)).

1

5/2 (or 2.5)

Undefined

0

11.

STEM Limits Problem 33: Evaluate the limit: lim [x -> 0] (sin(5x) / tan(2x)).

5/2 (or 2.5)

Undefined

0

1

12.

STEM Limits Problem 38: Evaluate the limit: lim [x -> 0] (sin(5x) / tan(2x)).

0

Undefined

5/2 (or 2.5)

1

13.

STEM Limits Problem 43: Evaluate the limit: lim [x -> 0] (sin(5x) / tan(2x)).

0

Undefined

5/2 (or 2.5)

1

Curriculum

Mathematics

Unit 1

Unit 2

Unit 3

Unit 4

Unit 5

Unit 6

Unit 7

Lesson 1 Quiz: Momentum, Newtons Three Laws of Motion, Impulse and Energy

Quiz finished, well done