Question

log 1.2 bar to the base 3/4

Answer 1

Step-by-step explanation:

Read the passage given below.

The incidence of dengue has grown dramatically around the world in recent decades. A

vast majority of cases are asymptomatic or mild and self-managed, and hence the actual

numbers of dengue cases are underreported or often misdiagnosed. One estimate

indicates 390 million dengue virus infections per year (95% credible interval 284–528

million), of which 96 million (67–136 million) manifest clinically (with any severity of

disease). The number of dengue cases reported to WHO increased over 8 fold over the

last two decades. This alarming increase in case numbers is partly explained by a change

in national practices to record and report dengue to the Ministries of Health, and to the

WHO. But it also represents government recognition of the burden, and therefore the

pertinence to report dengue disease.

Before 1970, only 9 countries had experienced severe dengue epidemics. The disease is

now endemic in more than 100 countries in the WHO regions of Africa, the Americas,

the Eastern Mediterranean, South East Asia and the Western Pacific. The America,

South-East Asia and Western Pacific regions are the most seriously affected, with Asia

representing ~70% of the global burden of disease.

In 2020, dengue continues to affect several countries, with reports of increases in the

numbers of cases in Bangladesh, Brazil, Cook Islands, Ecuador, India, Indonesia,

Maldives, Mauritania, Mayotte (Fr), Nepal, Singapore, Sri Lanka, Sudan, Thailand,

Timor-Leste and Yemen. In the line, ‘and therefore the pertinence to report dengue disease’ , the word

pertinence does not mean

a. Importance

b. Ignorance

c. Relevance

d. Appropriateness

ii) According to the WHO report, around 70% of the dengue cases from around the

world,

a. Affect people in Asia

b. Misdiagnosed in Asia

c. Do not occur in Asia

d. Remain untreated in Asia

iii) The actual number of dengue cases are more than the figures in the reports because

a. There has been a misprint

b. Cases reported late

c. Cases are under-reported

d. Cases constantly increase

iv. Choose the option that is correct about the rise in the number of dengue cases

a. Rise in dengue is due to rise in tourism

b. Dengue is being tested and reported in vast numbersc. Dengue is a communicable disease

d. Dengue spread is uncontrollable

v. According to this WHO report which year recorded the maximum number of Dengue

cases?

a. 2017

b. 2015

c. 2020

d. 2019

vi. Which statement is not true about the dengue vaccine as stated in the report?

a. Dengue vaccine works effectively on people who have been infected before

b. Dengue vaccine works effectively on people who haven’t been infected before

c. Dengue vaccine must be administered to people in the countries where it is an

endemic

d. Dengue vaccine has been in clinical trials but the results are not as expected

vii. What does the word ‘endemic’ refer to?

a. Disease regularly found in people of a certain area

b. Disease irregularly found in people of a certain area

c. Disease regularly found in people any where

d. Disease irregularly found in people any where

viii. The number of cases of Dengue reported to WHO

a. Decreased 8 times in the last ten years

b. Decreased 10 times in the last twenty years

c. Increased 10 times in the last eight years

d. Increased 8 times in the last twenty years

ix. What is the above report informing us about? Choose the most appropriate response

a. Spread of dengue and its effects around the world

b. Spread of dengue and its under-reportage

c. Spread of Dengue and how it affects Asia

d. Spread of Dengue and directions on the use of vaccine

x. Where do we need to administer the dengue vaccine?

a. In country where dengue is wide-spread

b. In country where dengue may spread

c. In country where dengue spread is limitedd. In country where dengue spread originated

xi. Choose which statement is ‘Not Correct’ as per the report

a. Pre-screening must be done before administering the vaccine

b. Pre-screening must not be done before administering the vaccine

c. Pre-screening helps to identify people who have been dengue positive in the past

d. Pre-screening allows to target people who can be administered the vaccine

xii. In Afghanistan Dengue spread began in

a. 2017

b. 2020

c. 2019

d. 1970

Answer 2

Answer:

Step-by-step explanation:

1,2618595071

Step-by-step explanation:

If you have enough time and like to solve artithmetical operations, you can begun with any fair approximation.

For example: 318=387,420,489≃4×108318=387,420,489≃4×108 .

And 321=10,460,353,203≃1010321=10,460,353,203≃1010 .

By taking base 10 logarithm on both sides:

318log31818log31818log34≃4×108≃log4×108≃8+log4≃8log3+log4log3≃8⋅2110+log34≃18−16810=1,2321log32121log3log3≃1010≃log1010≃10≃1021318≃4×108321≃1010log⁡318≃log⁡4×108log⁡321≃log⁡101018log⁡3≃8+log⁡421log⁡3≃1018≃8log⁡3+log⁡4log⁡3log⁡3≃102118≃8⋅2110+log3⁡4log3⁡4≃18−16810=1,2

Now. Remember that x=log34x=log3⁡4 means that 3x=43x=4 . We need to improve our precision.

Let’s take x=x0+dx0x=x0+dx0 , where x0x0 is a good approximation of xx , and dx0dx0 is the error. Then:

3x0+dx0=3x0⋅3dx03dx01+dx0ln3dx0ln3dx0=4=43x0≃43x0≃43x0−1=4−3x03x0≃4−3x03x0ln3if dx0≃0, then 3dx0≃1+dx0ln33x0+dx0=3x0⋅3dx0=43dx0=43x0if dx0≃0, then 3dx0≃1+dx0ln⁡31+dx0ln⁡3≃43x0dx0ln⁡3≃43x0−1=4−3x03x0dx0≃4−3x03x0ln⁡3

We still need ln3ln⁡3 , for which we take the approximation 33=27≃10e33=27≃10e , and therefore:

333log333−2110ln3=log3loge≃10e≃1+loge≃1log3+logelog3≃logelog3≃10933≃10e3log⁡3≃1+log⁡e3≃1log⁡3+log⁡elog⁡33−2110≃log⁡elog⁡3ln⁡3=log⁡3log⁡e≃109

So, in our formula, we get that:

dx0≃0.94−3x03x0dx0≃0.94−3x03x0

You can try several times.

If you begin with x0=1.2x0=1.2 and you keep iterating: dxn=0.94–3xn3xndxn=0.94–3xn3xn , and xn+1=xn+dxnxn+1=xn+dxn , then we can have the series

x0x1x2x3x4x5x6=1.2=1.2632898741=1.2618767079=1,2618597008=1,2618595093=1,2618595072=1,2618595071x0=1.2x1=1.2632898741x2=1.2618767079x3=1,2618597008x4=1,2618595093x5=1,2618595072x6=1,2618595071

This is a very good approximation