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3 years ago

73-74 express the limit as a definite integral.

Mathematics

1 answer:

damaskus [11]3 years ago

8 0

Pull out a factor of 1/n from the summand and the result follows.

$\displaystyle \lim_{n\to\infty} \sum_{i=1}^n \frac{i^4}{n^5} = \lim_{n\to\infty} \frac1n \sum_{i=1}^n \left(\frac in\right)^4 = \boxed{\int_0^1 x^4 \, dx}$

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PLZ HELP SRRY CAPS.Which word from the paragraph best helps the reader understand the meaning of the underlined word?

Genrish500 [490]

Answer:

B. Members

Step-by-step explanation:

7 0

4 years ago

A circle has a radius of 5p6q3 cm. The area of the circle can be found using the formula A = πr2. What is the area of this circl

Tamiku [17]

Answer:

25p^12q^6πcm²

Step-by-step explanation:

Given the area of the circle expressed as;

A = πr^2

Given

r = 5p^6q^3 cm

Substitute into the formula

A = π(5p^6q^3 )²

A = π(25p^12q^6)

A = 25p^12q^6πcm²

hence the area of this circle in square centimeters is 25p^12q^6πcm²

4 0

3 years ago

Difference between Simple Intrest and Compound Intrest

gayaneshka [121]

Simple interests will only take into account the principle, but compound interest adds money to interest earned AND the principle.

8 0

3 years ago

Read 2 more answers

At the corpulus car used car company each salesperson receives a 6.5%commission on sales. What would the salesperson earn if he

barxatty [35]

603.85 due to multiplying the price of the car ( 9290 ) to the percent ( .065 )
603.85 is the total

6 0

3 years ago

For every 2 teachers there are 30 girl students. For every 3 teachers there are 60 boy students. If there are 432 people in the

lozanna [386]

Discussion

Girls

For every two Teacher there are 30 girls.

That means that every teacher has 30/2 = 15 girls.

Boys

For every three teachers there are 60 boys

So every teacher must teach 60/3 = 20 boys.

Both

The teacher load for every teacher is 20 + 15 = 35 students.

Proportion

1/35 = T/(432 - T) Remember you have to take out the number of Teachers from the total number of people in the building. Cross multiply.

432 - T = 35T Add T to Both sides.

432 = 35T + T

432 = 36T Divide by 36

T = 432 / 36

T = 12 So there are 12 Teachers in the Building

Girls in the Building

Every teacher teaches 15 girls

1 teacher /12 teachers = 15 girls/x Cross multiply

x = 12 * 15

x = 180 girls are in that school.

Boys in the Building

1 teacher teaches 20 boys

12 teachers teach x

1/12 = 20 / x Cross multiply

12*20 = x

240 = x

There are 240 boys in the building.

Summary For the School

Teachers = 12

Boys = 240

Girls = 180

Nice problem. Thanks for posting.

6 0

3 years ago