All categories

2 years 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]2 years 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

thomas owes $438 on his credit card and was unable to pay more than the minimum payment of $20. unfortunately he mailed the paym

Kazeer [188]

Answer:

$575.82.

Explanation:

Since Thomas owes $ 438 on his credit card, but only paid the minimum of $ 20, his debt is now $ 418 (438 - 20). A late fee of $ 39 will be added to this value, which will raise said sum to $ 457 (418 + 39). In turn, the interest rate for unpaid card balances is 26% per month. Therefore, next month his balance will be $ 575.82 (457 x 1.26).

7 0

2 years ago

Suppose we observe that as the price of lettuce increases from $1 to $2 per head, consumers buy only half the number of heads of

alex41 [277]

Answer:

C. A decrease in the quantity demanded

Explanation:

Price Elasiticity

The law of demand and supply would usually hold that an increase in prices will result in a decrease in demand. Furthermore, an increase in demand generates a corresponding increasing in supply as well.

When the demand of a product is sensitive to the changes in price, then we say that price of the product is elastic but if the product demand not strongly influenced by price then we say that the pricing is inelastic.

In the case of the lettuce, we can say that the price is elastic, because there is a sensitive reaction between an increase in price from $1 to $2 which immediately leads to a halfing of the quantity demanded. The price is elastic such that an increase in price leads to a decrease in quantity demanded.

8 0

3 years ago

when the act curve is decreasing, we know that the mc curve is, and when the atc curve is increasing, we know that mc is

yuradex [85]

Answer:

When ATC curve is decreasing, we know that the MC curve is

below the ATC curve, and when the ATC curve is increasing, we know that MC is above the ATC curve

Explanation:

ATC refers to average total cost and MC refers to marginal cost, these both curve derive from total cost when MC is below ATC curve it shows that MC is less than ATC at that point ATC is falling.

Likewise, when MC is above ATC curve it shows MC is grater than ATC curve and at that point ATC is rising.

furthermore, when MC is equal to ATC at that point ATC is at minimum point.

7 0

3 years ago

Sherrie Hymes holds a $200,000 portfolio consisting of the following stocks. The portfolio's beta is 0.875. Stock Investment Bet

yuradex [85]

Answer:

The portfolio’s new beta will be 1.125

Explanation:

In this question, we are interested in calculating the portfolio’s new beta given the value of the beta of the stock which is used in replacing it.

We apply a mathematical approach here.

Mathematically;

Portfolio beta=Respective beta * Respective investment weight

=(50,000/200,000*1.5)+(50,000/200,000*0.8)+(50,000/200,000*1)+(50,000/200,000*1.2)

= 0.375 + 0.2 + 0.25 + 0.3 = 1.125

8 0

3 years ago

The owners of hotels whose services are produced and consumed at the same time know that consumers do not have the opportunity t

mixer [17]

Answer:

E) Satisfaction Guarantees

Explanation:

Satisfaction Guarantees also called Money-Back Guarantee is basically a straightforward assurance that a refund will be produced if a purchaser is not satisfied with a product or service.

This term is widely used in advertisements or commercials advertising a product or service and has been used for a long time as a marketing strategy.

8 0

3 years ago