# MATHEMATICS | Study Mode

Question 31
A

(6, 3)

B

(8, 6)

C

(2, 2)

D

(0, 4)

##### Explanation

Question 32
A

8y + 14x - 13 = 0

B

8y + 14x + 13 = 0

C

8y - 14x + 13 = 0

D

8y - 14x - 13 = 0

Question 33
A

10 cm

B

108cm

C

9 cm

D

92cm

E

85.2 cm

Question 34
A

125

B

113

C

123

D

135

Question 35
A

6(2x + 2)

B

3(2x + 2)

C

6(2x + 2)2

D

3(2x + 2)2

Question 36
A

cos x - x sin x

B

cos x + x sin x

C

sin x + x cos x

D

sin x - cos x.

##### Explanation

y = xsin(x)

This is a function which is in the form,

y = f(x)g(x)

It's the product of two functions and so we must make use of the product rule. This is a simple formula which you have to remember:

dy/dx = f'(x)g(x) + f(x)g'(x)

f(x) = x

g(x) = sin(x)

Therefore;

f'(x) = 1

g'(x) = cos(x)

and

dy/dx = sin(x) + xcos(x).

Question 37
A

0.53 cm-2s-1

B

0.35 cm-2s-1

C

0.88 cm-2s-1

D

0.75cm-2s-1

Question 38
A

x2-1x+k

B

2x2-1x+k

C

-12x2-1x+k

D

-x22-1x+k

Question 39
A

1

B

2

C

2

D

1

Question 40
A

720 mins.

B

960 mins.

C

200 mins.

D

460 mins.

##### Explanation

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