Calculus and Vectors MCV4U-A

Practice Test

Time: 2 hours

Total Marks: 101

Final Evaluation Score _____ ÷ tips × 75 = _____%

Instructions

• There is a packaging attached to this site. Compare the course code on the label with the study course code printed on the Final Test to make certain that they are the same. Inform the last Test director immediately if they happen to be not the same.

• The Final Test out pages happen to be numbered one particular to 13. Check to see that most thirteen web pages are attached. Inform the ultimate Test supervisor immediately in the event there are any kind of pages lacking.

• You might use a calculator during the Last Test. May very well not use any books or notes.

• You must publish your answers in the space provided.

• There are two parts for the test. An explanation of the markings and the approx . time needed for every part get below. Go over the entire check before you begin. Deal with your time thoroughly, and leave some time towards the end to review your work.

Part

Category

Marks

Critique

A

Calculus

B

Vectors

5

62

70

39

40

Assessment

Total

Period (minutes)

a few

101

a hundred and twenty

• Towards the end of the test out, return this kind of test newspaper and all of your work (including drafts) to the Last Test manager. Please note that, for reliability reasons, noticeable tests are generally not returned to students.

Dec. 3, 2009

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Calculus and Vectors MCV4U-A

Practice Test

site 1

Part A: Calculus (62 marks) (approximate time: 70 minutes)

1 .

Locate the derivative by determining lim

h→0

3

to get f (x) =

(5 marks)

x+2

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f (x + h) − farrenheit (x)

they would

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Calculus and Vectors MCV4U-A

page 2

Practice Test

2 .

3.

Separate and simplify the following: (6 marks: three or more marks each) a)

farrenheit (x) sama dengan

b)

con = m 3x

two

2x − 1 − 3 (x + 1)2

4

sin a few x

Measure the following restrictions: (6 marks: 3 signifies each)

a)

lim

x→0

x a few − x 2 − 12x

x2 − 4x

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Calculus and Vectors MCV4U-A

Practice Check

b)

lim

x→4

web page 3

x+5 −3

x−4

4.

Find the formula of the tangent line to y sama dengan x3 + 1 for x sama dengan 1 . (4 marks)

a few.

2

The height of a projectile is given by h = –5t & 40t + 10 metre distances and to is scored in seconds.

a) Estimate the average velocity for one particular ≤ t ≤ several seconds. (2 marks)

b) When is the instantaneous velocity equal to zero? (2 marks)

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Calculus and Vectors MCV4U-A

webpage 4

Practice Test

c)

6.

Get the maximum elevation of the charge. (1 mark)

Given the subsequent graph of h(x):

�

66

44

22

- 10

-10

-5

a few

-5

your five

10

10

-2- a couple of

-4- four

-6- six

a) Recognize (4 markings: 1 draw each)

i)

the time periods where h(x) is increasing and reducing

ii) the local maximum and minimum points of h(x)

iii) the intervals where h(x) is concave up and concave straight down

iv) the inflection points of h(x)

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Calculus and Vectors MCV4U-A

Practice Test

site 5

b) Sketch the graphs of h´(x) and h˝(x). (2 marks)

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Calculus and Vectors MCV4U-A

page 6th

Practice Check

7.

Provided f ( x) =

3x & 6

:

2x − 5

a) Point out the website. (1 mark)

b) Locate the straight and horizontal asymptotes. (2 marks)

c)

8.

Get the x- and y-intercepts. (2 marks)

Given f (x) = x3 – 9x2 + 15x – six

a) Condition whether the function is peculiar, even, or perhaps neither. (1 mark)

b) Find the x- and y-intercepts....