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PAPER TITLE: ESSENTIAL MATHEMATICS 1

EXAM DATE: MONDAY 16, SEPTEMBER 2019

COURSE CODE: MST124/A

Question 1

Which of the following is equivalent to  ?

ANSWERS(Purchase full paper to get all the solutions):

 

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Answer: B

Question 2

Which of the following is equivalent to

Question 3

Which of the following is equivalent to

Question 4

Which of the following is equivalent to

Question 5

What is the gradient of the straight line passing through the points (8, 5) and (−8, −7)?

Question 6

What is the y-intercept of the line with the equation ?

Question 7

Which of the following could be the graph of the equation  ?

Question 8

Which of the following is a factor of ?

Question 9

Which of the following is the graph of a one-to-one function?

Question 10

What is the image set of the function

                    − 1 < x ≤ 2 ?

Question 11

 What is the rule of the inverse function of ?

Question 12

If  , where a > 0 and b > 0, which of the following is equal to x ?

Question 13

What is the solution set of the inequality  ?

 

Question 14

The right-angled triangle below (which is not drawn to scale) has an angle of size  and a side opposite that angle of length 6. What is the length, to one decimal place, of the hypotenuse, labelled as a, in the diagram?

Question 15

The triangle below (which is not drawn to scale) has two sides of lengths 5 and 6 and the angle between them is

Question 16

The triangle below (which is not drawn to scale) has angles of sizes 107⁰ and 45⁰ The side opposite the angle of size  has length 10.

Question 17

If  which of the following is equivalent to ?

Question 18

Which of the following equations represents the circle with centre (−4, −1) and radius 5 ?

Question 19

What is the magnitude of the vector i − 3j ?

Question 20

What is the derivative of  ?

 

Question 21

What is the derivative of  ?

Question 22

What is the derivative of sin x ln x ?

Question 23

What is the derivative of  where

Question 24

What is the second derivative of  ?

Question 25

Which of the following is equal to

Question 26

Which of the following, where c is an arbitrary constant, is equal to

 

Question 27

Which of the following is equal to

Question 28

If P =  Q =  and R =

which of the following expressions is defined?

Question 29

If S =  and T =  , what is ST ?

Question 30

What is the determinant of the matrix - ?

Question 31

 Which of the following is a closed form for a sequence ( ) with first four terms

4 , 16 , 64 , 256?

Question 32

What is the sum of the geometric series

 ?

Question 33

Which of the following is equal to the complex number  ?

Question 35

What is the equation of the perpendicular bisector of the line segment joining the points (6, 4) and (12, 0) ?

Question 36

A function f has derivative given by  What are the stationary points of f, and their natures?

Question 37

The velocity v (in metres per second) of an object in terms of the time t (in seconds) is given by the equation

v = 6t − 2t³ .

The displacement of the object at time t = 0 is 10 m. What is the displacement of the object (in metres) at time t =4?

Question 38

What is the derivative of 9

Question 39

Which of the following is equal to

Question 40

Which of the following is equal to

Question 41

What is the coefficient of  in the expansion of ?

Question 42

Which of the following complex numbers is a solution of  ?

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Last updated: Sep 02, 2021 01:11 PM

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