# Edexcel C3 June 2016 - Unofficial Mark Scheme

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veldt127

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#1

I'm not 100% sure on all of these, but I think most are correct.

kprime2's model answers: http://www.thestudentroom.co.uk/atta...6&d=1466601487

3c:

kprime2's model answers: http://www.thestudentroom.co.uk/atta...6&d=1466601487

**Question 1**
Spoiler:

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A. -5, 6

B. 6

B. 6

**Question 2**
Spoiler:

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A. (20-4x^2)/(x^2+5)^2

B. >sqrt(5), <-sqrt(5)

B. >sqrt(5), <-sqrt(5)

**Question 3**
Spoiler:

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A. R= sqrt(5)

a= 26.57°

B. 33.0°, 273.9°

C. 86.1°

a= 26.57°

B. 33.0°, 273.9°

C. 86.1°

**Question 4**
Spoiler:

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Ai. 21

ii. ln(2.5)

iii. 25

B. Show that question

C. 1.4368, 1.4373

D. Show the root was in [1.4365, 1.4375]

ii. ln(2.5)

iii. 25

B. Show that question

C. 1.4368, 1.4373

D. Show the root was in [1.4365, 1.4375]

**Question 5**
Spoiler:

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i. 0.9463

ii. 0.5cosec(4Y)

ii. 0.5cosec(4Y)

**Question 6**
Spoiler:

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A. A=3, B=4

B. Normal eqn. -0.5x + 17.5

B. Normal eqn. -0.5x + 17.5

**Question 7**
Spoiler:

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A. graph of arcsin, sort of a rotated S shape. Went through (0,0), (-1,-pi/2), (1,pi/2)

B. -1-0.5sqrt(3)

B. -1-0.5sqrt(3)

**Question 8**
Spoiler:

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A. Trig proof

B. -2.848, -1.277, 0.294, 1.865

B. -2.848, -1.277, 0.294, 1.865

**Question 9**
Spoiler:

PDF with full worked solutions : http://www.thestudentroom.co.uk/atta...7&d=1466526735Show

A. 6.740 - dose after 4 hours

B. show that dose equalled a value after 7 hours

C. 5ln(2 + 2e^-1)

A = 5, B = 2

B. show that dose equalled a value after 7 hours

C. 5ln(2 + 2e^-1)

A = 5, B = 2

3c:

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Dieselblue

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#2

mpwb12345

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#3

jwanjwan

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#4

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#4

i agree however i dont know about 7 part b, i cant really remember the question but i believe i left it in terms of sin but your answer looks more complete

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Gouber

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#5

particlestudent

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#6

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#6

(Original post by

I'm not 100% sure on all of these, but I think most are correct.

1.

A -5, 6

B 6

2.

A (20-4x^2)/(x^2+5)^2 Might not be simplest form

B >sqrt(5), <-sqrt(5)

3.

A R= sqrt(5)

a= 26.57°

B 33.0°, 273.9°

C 86.1°

4.

Ai 21

ii ln(2.5)

iii 25

B Show that question

C 1.4368, 1.4373

D Show the root was in [1.4365, 1.4375]

5.

i 0.9463

ii 0.5cosec(4Y)

6.

A A=3, B=4

B Normal eqn. -0.5x + 17.5

7.

A graph of arcsin, sort of a rotated S shape. Went through (0,0), (-1,-pi/2), (1,pi/2)

B -1-0.5sqrt(3)

8.

A Trig proof

B -2.848, -1.277, 0.294, 1.865

9.

A 6.740 - dose after 4 hours

B show that dose equalled a value after 7 hours

C 5ln(2 + 2e^-1)

A = 5, B = 2

Sorry about the formatting, I'll try to improve it once I'm home.

**veldt127**)I'm not 100% sure on all of these, but I think most are correct.

1.

A -5, 6

B 6

2.

A (20-4x^2)/(x^2+5)^2 Might not be simplest form

B >sqrt(5), <-sqrt(5)

3.

A R= sqrt(5)

a= 26.57°

B 33.0°, 273.9°

C 86.1°

4.

Ai 21

ii ln(2.5)

iii 25

B Show that question

C 1.4368, 1.4373

D Show the root was in [1.4365, 1.4375]

5.

i 0.9463

ii 0.5cosec(4Y)

6.

A A=3, B=4

B Normal eqn. -0.5x + 17.5

7.

A graph of arcsin, sort of a rotated S shape. Went through (0,0), (-1,-pi/2), (1,pi/2)

B -1-0.5sqrt(3)

8.

A Trig proof

B -2.848, -1.277, 0.294, 1.865

9.

A 6.740 - dose after 4 hours

B show that dose equalled a value after 7 hours

C 5ln(2 + 2e^-1)

A = 5, B = 2

Sorry about the formatting, I'll try to improve it once I'm home.

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chloeabeki

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#7

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#7

(Original post by

Im sure only the middle two values were allowed for 8B

**particlestudent**)Im sure only the middle two values were allowed for 8B

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marethyu

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#8

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#8

**veldt127**)

I'm not 100% sure on all of these, but I think most are correct.

1.

A -5, 6

B 6

2.

A (20-4x^2)/(x^2+5)^2 Might not be simplest form

B >sqrt(5), <-sqrt(5)

3.

A R= sqrt(5)

a= 26.57°

B 33.0°, 273.9°

C 86.1°

4.

Ai 21

ii ln(2.5)

iii 25

B Show that question

C 1.4368, 1.4373

D Show the root was in [1.4365, 1.4375]

5.

i 0.9463

ii 0.5cosec(4Y)

6.

A A=3, B=4

B Normal eqn. -0.5x + 17.5

7.

A graph of arcsin, sort of a rotated S shape. Went through (0,0), (-1,-pi/2), (1,pi/2)

B -1-0.5sqrt(3)

8.

A Trig proof

B -2.848, -1.277, 0.294, 1.865

9.

A 6.740 - dose after 4 hours

B show that dose equalled a value after 7 hours

C 5ln(2 + 2e^-1)

A = 5, B = 2

Sorry about the formatting, I'll try to improve it once I'm home.

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Mattematics

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#9

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#9

**veldt127**)

I'm not 100% sure on all of these, but I think most are correct.

1.

A -5, 6

B 6

2.

A (20-4x^2)/(x^2+5)^2 Might not be simplest form

B >sqrt(5), <-sqrt(5)

3.

A R= sqrt(5)

a= 26.57°

B 33.0°, 273.9°

C 86.1°

4.

Ai 21

ii ln(2.5)

iii 25

B Show that question

C 1.4368, 1.4373

D Show the root was in [1.4365, 1.4375]

5.

i 0.9463

ii 0.5cosec(4Y)

6.

A A=3, B=4

B Normal eqn. -0.5x + 17.5

7.

A graph of arcsin, sort of a rotated S shape. Went through (0,0), (-1,-pi/2), (1,pi/2)

B -1-0.5sqrt(3)

8.

A Trig proof

B -2.848, -1.277, 0.294, 1.865

9.

A 6.740 - dose after 4 hours

B show that dose equalled a value after 7 hours

C 5ln(2 + 2e^-1)

A = 5, B = 2

Sorry about the formatting, I'll try to improve it once I'm home.

Does anyone know if it specified what form it wanted the normal to f(x) in?

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veldt127

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#10

(Original post by

if you don't mind would you be able to do your working out if at all possible? 🙈

**mpwb12345**)if you don't mind would you be able to do your working out if at all possible? 🙈

(Original post by

What was question 6 again please?

**Gouber**)What was question 6 again please?

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mk_98

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#11

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#11

(Original post by

For 5i what did people do with the sin and cos?

Also part 2a is wrong, -4x^2-20=-4(x^2+5) so -4/x^2+5

**Dieselblue**)For 5i what did people do with the sin and cos?

Also part 2a is wrong, -4x^2-20=-4(x^2+5) so -4/x^2+5

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veldt127

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#12

**Dieselblue**)

For 5i what did people do with the sin and cos?

Also part 2a is wrong, -4x^2-20=-4(x^2+5) so -4/x^2+5

Edit: your answer gives a non real root

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DomWoodcock

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#13

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#13

(Original post by

Im sure only the middle two values were allowed for 8B

**particlestudent**)Im sure only the middle two values were allowed for 8B

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Bill262626

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#14

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#14

**veldt127**)

I'm not 100% sure on all of these, but I think most are correct.

1.

A -5, 6

B 6

2.

A (20-4x^2)/(x^2+5)^2 Might not be simplest form

B >sqrt(5), <-sqrt(5)

3.

A R= sqrt(5)

a= 26.57°

B 33.0°, 273.9°

C 86.1°

4.

Ai 21

ii ln(2.5)

iii 25

B Show that question

C 1.4368, 1.4373

D Show the root was in [1.4365, 1.4375]

5.

i 0.9463

ii 0.5cosec(4Y)

6.

A A=3, B=4

B Normal eqn. -0.5x + 17.5

7.

A graph of arcsin, sort of a rotated S shape. Went through (0,0), (-1,-pi/2), (1,pi/2)

B -1-0.5sqrt(3)

8.

A Trig proof

B -2.848, -1.277, 0.294, 1.865

9.

A 6.740 - dose after 4 hours

B show that dose equalled a value after 7 hours

C 5ln(2 + 2e^-1)

A = 5, B = 2

Sorry about the formatting, I'll try to improve it once I'm home.

Can anyone remind me what the questions were for 5i) and 6a)

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Dieselblue

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#15

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#15

(Original post by

I got 20-4x, I thought it might be like that but couldn't find where I'd gone wrong. You might be right on that one

**veldt127**)I got 20-4x, I thought it might be like that but couldn't find where I'd gone wrong. You might be right on that one

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marethyu

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#16

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#16

(Original post by

Agree with all except for 3c which I know I got wrong.

Does anyone know if it specified what form it wanted the normal to f(x) in?

**Mattematics**)Agree with all except for 3c which I know I got wrong.

Does anyone know if it specified what form it wanted the normal to f(x) in?

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#17

**Mattematics**)

Agree with all except for 3c which I know I got wrong.

Does anyone know if it specified what form it wanted the normal to f(x) in?

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Mattematics

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#18

marethyu

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#19

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#19

(Original post by

Yeah I think I remember the limits between -pi/2 and pi/2

**DomWoodcock**)Yeah I think I remember the limits between -pi/2 and pi/2

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#20

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