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2 years ago

If f(x) = f(x)g(x), where f and g have derivatives of all orders, show that f'' = f ''g + 2f 'g' + fg''.

1 answer:

5 0

Differentiating once, we have

$f'(x)=f'(x)g(x)+f(x)g'(x)$

Differentiating again,

$f''(x)=f''(x)g(x)+f'(x)g'(x)+f'(x)g'(x)+f(x)g''(x)$
$f''(x)=f''(x)g(x)+2f'(x)g'(x)+f(x)g''(x)$

as needed.

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"From 1990 to 2000 The population of city A rose from 12,000 to 28,000 and the population of city B rose from 18,000 to 24,000.

Virty [35]

Answer:

The year 1996

With population of both 21600

Step-by-step explanation:

From 1990 to 2000 = 10 years

So city A grew from 12000 to 28000 that is city A had an increase of 16000 in 10 years.

While city b grew from 18000 to 24000 , that's an increase of 6000 in 10 years to.

For city A

10 years= 16000

1 year = 16000/10

1 year = 1600

For city B

10 years = 6000

1 year = 6000/10

1 year = 600

So we are to find what year the both cities had same population.

12000 + x1600 = y

18000 + x600 = y

X is the year difference

Y is the population at that year

Eliminating y gives

6000= x1000

X= 6

If x is 6

18000+3600= y

21600= y

So 6 years + 1990 = 1996

4 0

2 years ago

Can somone give me the answer to 2 x 0

marshall27 [118]

Any number times 0 is going to equal 0

8 0

2 years ago

Read 2 more answers

Consider the equation an^2 = 182 where a is any number between 2 and 5 and n is a positive interger. What are the possible value

vodka [1.7K]

Step-by-step explanation:

an² = 182

When a = 2, n² = 182/2 = 91, n = 9.539...

When a = 5, n² = 182/5 = 36.4, n = 6.033...

Since 2 <= a <= 5, we have 6.033 <= n <= 9.539.

Therefore our possible values of n are 7, 8 and 9.

6 0

2 years ago

When a decision maker is faced with several alternatives and an uncertain set of future events, s/he uses __________ to develop

Step2247 [10]

Answer:

Option b: a decision analysis

Step-by-step explanation:

Option b: a decision analysis

Decision analysis is referred to that the strategic marketing planning process that consists of a systematic visual approach. it facilitates the use of all tools that can be needed to have a discussion on the decision process.

An approach like a diagrammatic representation of available resources, choices are mentioned on influence to easily draw the decision.

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2 years ago

John Birks "Dizzy" Gillespie (1917-1993) was a trumpeter and was extremely influential in the development of bebop. Also an acco

Nikitich [7]

Answer:

"Ambassador of Jazz"

Explanation:

John Birks "Dizzy" Gillespie (1917 – 1993) is recognized as an extraordinary trumpet player who had tremendous influence in the modern jazz and the development of the new music style called bebop.

Bebop required instrumental virtuosity and creativity to improvise as it involves fast tempo, and numerous of rapid changes of chords and keys. Personal characteristics that Gillispie had in excess.

As you can find in the internet, the nickname of "Ambassador of Jazz" was given to him in 1956, during a State Department tour of the Middle East that he succesfully organized.

Gillespie was a leader in music and an innovator who greatly influenced the musical development of this genre. He played along with other important jazz and bebop players of his time.

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2 years ago