Free Printable BMT -Physics - Aromatic -11th Quiz

1.

Where does the graph of y=sin(x) begin its first cycle?

a)

(0,0)

b)

(1,0)

c)

(0,Pi)

d)

(1, Pi)

2.

What is the amplitude of the graph?

a)

1

b)

3

c)

6

d)

9

3.

What is the period of this equation?
y = -5sin(3x)

a)

-5

b)

2pi/3

c)

2pi/5

d)

3

4.

What is the period?

a)

π/4

b)

π/2

c)

3π/4

d)

2π/3

5.

Where does the graph of cosine begin?

a)

(0,0)

b)

(0,1)

c)

(0, Pi)

d)

(1, Pi)

6.

True or False? Using the unit circle, the process for determining the sine/cosine of any angle is as follows:

Step one: Starting from (1,0) (1,0) move along the unit circle in the counterclockwise direction until the angle that is formed between your position, the origin, and the positive x-axis is equal to your angle. Step two:The sine of your angle is equal to the y-coordinate of your point, and cosine is equal to the x-coordinate.

a)

True

b)

False

7.

Find the value of $\theta$ , if given that cos $\theta$ = 0.7071.

a)

$54\degree$

b)

$154\degree$

c)

$45\degree$

d)

$145\degree$

8.

$y=\ 3\ \sin\left(4x\right)\ +1$

find the graph of the function

a)

b)

c)

9.

$\cot\ \left(-\ 240^{o^{ }}\right)$

a)

$\sqrt{3}$

b)

$-\frac{1}{\sqrt{3}}$

c)

$-\sqrt{3}$

d)

$\frac{1}{\sqrt{3}}$

10.

$If\ y=\frac{\sin x}{1+\cos x\ }\ then\ \frac{dy}{dx}=?$

a)

$\frac{1}{2}\ \sec^2\ \left(\frac{x}{2}\right)$

b)

$\tan^2\left(\frac{x}{2}\right)$

c)

$-\cot x$

d)

$\sin2x$

11.

$If\ y\ =\sec\sqrt{x\ }\ then\ \frac{dy}{dx}=?$

a)

$\frac{\tan^2\sqrt{x}}{\sqrt{x}}$

b)

$\frac{\sec\sqrt{x}.\tan\sqrt{x}}{2\sqrt{x}}$

c)

$\frac{\tan\sqrt{x}}{2\sqrt{x}}$

d)

$\sec\sqrt{x}.\tan\sqrt{x}.2\sqrt{x}$

12.

$If\ y=\cos\left(x^2e^x\right)\ then\ \frac{dy}{dx}=?$

a)

$-\sin\left(x^2e^x\right).\left(2x+e^x\right)$

b)

$-\sin\left(x^2e^x\right).\left(x^2e^x+2xe^x\ \right)$

c)

$\sin\left(x^2e^x\right)\left(x^2e^{x\ }+2xe^x\right)$

d)

$NONE$

13.

$\frac{\text{d}}{\text{d}y}\left(\frac{x}{\cos x}\right)^2$

a)

$\frac{2x\left(\cos x+x\sin x\right)}{\cos^3x}$

b)

$\frac{2x\left(\cos x-x\sin x\right)}{\cos^3x}$

c)

$\frac{2x\left(\cos^2x+x\sin x\right)}{\cos^4x}$

d)

$\frac{2x\left(\cos^2x-x\sin x\right)}{\cos^4x}$

e)

$-\frac{2x\left(\cos x+x\sin x\right)}{\cos^3x}$

14.

$\frac{\text{d}}{\text{d}y}\left(2\cos\left(2x\right)+4\sin\left(2x+3\right)\right)$

a)

$-4\sin\left(2x\right)+8\cos\left(2x+3\right)$

b)

$4\sin\left(2x\right)+8\cos\left(2x+3\right)$

c)

$-4\sin\left(2x\right)-8\cos\left(2x+3\right)$

d)

$4\sin\left(2x\right)-8\cos\left(2x+3\right)$

e)

$-4\sin\left(2x\right)\cos\left(2x\right)+8\sin\left(2x+3\right)\cos\left(2x+3\right)$

15.

Compare;

$a\ =\ \sin\ 175$ , $b=\ \sin\ 125$ and $c\ =\ \sin100$

a)

a > b > c

b)

c > b > a

c)

a > c > b

d)

b > a > c

16.

$\max\left(2-5\sin x\right)=?$

a)

7

b)

-3

c)

3

d)

undefined

17.

What is the result of

sin 90° + cos ( 180⁰) - tan 45⁰ =

a)

-2

b)

-1

c)

0

d)

1

e)

2

18.

Which of the following statements are true ?

$I.\ \ \tan x\ \in\ \left(-\infty;\ +\infty\right)$
$II.\ \sin x\ \in\left[-1;\ 1\right]$
$III.\ \min\left(\cos x\right)=0$

a)

I

b)

II

c)

I and II

d)

I and III

e)

I, II and III

19.

Find sec(π/4)

a)

0

b)

-2

c)

√2

d)

-√3

20.

Find dy/dx for $y=e^{6x}$

a)

$e^{6x}$

b)

$6e^{6x}$

c)

$e^{6x-1}$

d)

$6xe^{6x-1}$

21.

Differentiate $\sqrt{1-3x^2}$

a)

$\frac{1}{2}\sqrt{1-3x^2}$

b)

$\frac{1}{2\sqrt{1-3x^2}}$

c)

$-\frac{3x}{\sqrt{1-3x^2}}$

d)

$\frac{3}{2\sqrt{1-3x^2}}$

22.

$If\ y\ =\ e^{\sec x}\ then\ \frac{\text{d}y}{\text{d}x}=$

a)

$\sec x\tan x.e^{\sec x}$

b)

$e^{\sec x}$

c)

$e^{\sec x.\tan x}$

d)

$\sec x.e^{\sec x-1}$

23.

Q1)

Which function matches each graph in Q1 to Q10?

a)

$3+\sin x$

b)

$3\sin x$

c)

$\sin3x$

d)

$\sin\left(x-3\right)$

24.

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

a)

Set the equation equal to zero

b)

Divide 10 by 2 and add the result to both sides

c)

Add a² and 10a together

d)

Subtract the 21

25.

Select the solutions to the equation

2x² - 3x - 2 = 0

a)

x = 2

b)

x = -0.5

c)

x = - 3

d)

x = - 2

BMT -Physics - Aromatic -11th Quiz

Total questions: 25

Worksheet time: 53mins

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