All categories

1 year ago

Determine whether the statement is true or false. if f is continuous on [a, b], then d dx b f(x) dx a = f(x).

Business

1 answer:

uysha [10]1 year ago

8 0

The correct answer is option (b) False.

Differentiation:

Differentiation is a technique for determining a function's derivative. Differentiation is a mathematical procedure for determining the instantaneous rate of change of a function depending on one of its variables.

Explanation:

Given:

A statement is given "If f is continuous on

[a,b], then ddx(∫baf(x)dx)=f(x)".

The objective of the question is to determine whether the statement is true or false and why.

It is known that the value of a definite integral of a function is always a constant. So, ∫baf(x)dx

is a constant.

It is also known that the derivative of a constant is always equal to 1. Therefore, the correct equation is ddx(∫baf(x)dx)=1.

Thus, the given statement is false.

To know more about integration visit

brainly.com/question/20436567?

#SPJ4

You might be interested in

33). You put half of your money in a stock portfolio that has an expected return of 14% and a standard deviation of 24%. You put

Natalija [7]

Answer:

16.0996% rounded off to 16.1%

Explanation:

We can calculate the standard deviation of a portfolio, that is the total risk of a portfolio, using the following formula,

S.D = √ (w1)² (S.D1)² + (w2)² (S.D2)² + 2 (w1) (w2) (correlation) (S..D1) (S.D2)

Where,

w1 is the weigh-age of investment in stock/bond 1
S.D1 is standard deviation of returns of stock/bond 1
w2 is the weight-age of stock/bond 2
S.D2 is the standard deviation of returns of stock/bond 2
correlation is the correlation between the returns of stock/bond 1 and 2

We calculate the S.D of given portfolio,

S.D = √ (0.5)² (0.24)² + (0.5)² (0.12)² + 2 (0.5) (0.5) (0.55) (0.24) (0.12)

S.D = 0.160996 or 16.0996 %

4 0

2 years ago

When listing a reference on your resume, you should: A) Use a fancy font and eye-catching color B) Not list references on your r

Alex777 [14]

The answer is Most Likely b.

5 0

2 years ago

Most people do not select a place of residence based on: A. lifestyle B. needs C. values. D.attitudes E. credit score

andrew-mc [135]

It is generally uncommon for people to decide a place of residence based on E. credit score 

When people look for places to stay, they think about their:

Lifestyle and what house it suits that
Their needs from a place
Their values and whether the place would support them
Attitudes towards what kind of place they should live

People only think about the credit score when it comes to paying the rent of the place or being able to buy it. It is generally not a factor when selecting a place of residence initially.

In conclusion, most people do not select residence based on credit score.

Find out more at brainly.com/question/19435264.

3 0

2 years ago

Fuel Connector Products, Inc., agrees to sell Go-Flo, Inc., a certain quantity of hose couplings and fittings, but the contract

yanalaym [24]

Answer: a) Fuel Connector's place of business.

Explanation:

Since Go-Flo is expected to pick up the goods from Fuel Connector Products, Inc., therefore, Go-Flo should pick up the the hose couplings and fittings from Fuel Connector's office. Also, since the contract does not specify a place so its only logical that Go-Flo would have to go to Fuel Connector's place of business.

5 0

2 years ago

According to the Keynesian transmission mechanism, a rise in the money supply will __________ the interest rate, causing a _____

Len [333]

Answer: The correct answer "e. lower; rise; raises".

Explanation: According to the keynesian transmission mechanism, a rise in the money supply will lower the interest rate, causing a rise in investment demand, which then raises Real GDP.

because a decrease in the interest rate, would cause companies to decide to take loans to invest, thus increasing investment and as a result would increase GDP

7 0

2 years ago