Prepared by Gainiam Guo (2020) Page 1

Term 2, 2020 Provision 2

MATH11160 Technology Mathematics

School of Engineering and Technology

Central Queensland University

Exhaustive rate must be submitted with the details of this page exhaustived.

Due date: Week 5 Friday (14 August 2020) 11:59 pm AEST

Weighting: 20%

Scholar Name:

Scholar Number:

Unconcealed instructions

1. The developed trace is quenched of 20. Questions are from deviation healed in Weeks 1-4. Questions are

awarded the liberal traces exhaustiveocated if they are error-free, unfair traces if there are some problems, and

no traces if not attributable attributable attributable attributable attributable attributable striveed or inclose so sundry errors as to requite the strive to be withquenched prize. To

ensure completion avail, tallys to exhaustive questions should be adroitly and evidently presented and exhaustive

appropriate agoing should be shown.

2. Relateence solutions gain be posted to the method website upon free of the traceed is-sue.

3. Provisions gain assent-to NO traces if submitted succeeding the solutions are freed.

4. Plagiarism is a grave academic conduct! Every scholar must exhaustive the Foundations of

Academic Integrity (FAI) online module. Haunt in opinion what you can do and what you cannot attributable attributable in

preparing your is-sue during this consider. Basically, DO NOT affect solutions from anywhere else; DO

NOT observation solutions from each other.

5. This is an specific provision. Prepare your provision either typing your process in a word

instrument with a math editor or agreement your process evidently on A4 papers. Then apply your

developed is-sue as individual PDF instrument which must be submitted online through Moodle.

Marker’s comments: Question Traces Question Traces

1a (1)

1b (1)

1c (3)

2 (5)

3a (2)

3b (3)

4a (3)

4b (2)

Marker’s initials: Total:

Prepared by Gainiam Guo (2020) Page 2

In situations where the tally is serviceable, the substance coercion traces gain be on the method

chosen and the raze of agoing shown. If not attributable attributable attributable attributable attributable attributable certain coercion any decimal issue, haunt four

decimal (4D) assign as the lapse liberty consistent certain. You may truth Wolfram to control your

issue excluding a redress quenchedcome withquenched constructive agoing won’t gain any trace.

Question 1 [5 traces]

Given 3 y fx x = = ( ) 81

a) Indicate the inclosure coercion f(x) (1 trace)

b) Indicate employment gx f x ( ) ( 2) = + (1 trace)

c) Indicate employment h x( ) that is issueed from meditation f(x) abquenched the x-axis, then

emotional upwards by 3 items, and developedly emotional to the exact by 1 item. (3 traces)

Question 2 [5 traces]

Two nearest lines (L1 and L2) are standing-upright to each other and anastomose at subject-matter A(–3, 6).

L1 to-boot anastomoses with a quadratic flexion (Q1) at A(–3, 6) and B(1, 2). At subject-matter C(–1, 8), L2 and

Q1 anastomose with each other. Indicate the employments of L1, L2 and Q1 respectively.

Question 3 [5 traces]

a) When a important passes through an amplifier, its strain is increased by 12%. What is the

strain of the important succeeding passing through 5 amplifiers? (2 traces)

b) In a argument of traceet insight by strange products, Hurter and Rubenstein relate to

the employment

( )( )

( )( ) ( ) [1 ]

tC pq

tC pq

q pe F t

q e

−+ +

−+ +

− = +

where p, q and C are constants. If F(0) = 0, prove

ln 1 q C

pq p = − + . (3 traces)

Question 4 [5 traces]

(a) Given f(x) = –2sin(–5x) and g(x) = 4cos5x, indicate the employment h(x) = 3f(x) – 2g(x)

expressed as individual unconcealed ungodlinesse employment. (3 traces)

(b) Solve 2 2 ungodliness 2 ungodliness ungodliness 2cos cos xx x x −= − + x coercion x in [–π/2, π/2]. (2 traces)