All categories

3 years ago

Topic: Integrals

Mathematics

1 answer:

Tpy6a [65]3 years ago

6 0

9514 1404 393

Answer:

11 7/16

Step-by-step explanation:

The integration resolves into finding the area of two triangles. The left has a height of (-3/8(-2/3)+2) = 2 1/4, and a width of (16/3-(-2/3)) = 6. Then its area is ...

A = (1/2)bh = (1/2)(6)(2 1/4) = 6 3/4

The right triangle has a height of |(-3/8)(31/3) +2| = |-31/8+16/8| = 15/8. Its width is (31/3) -(16/3) = 5, so its area is ...

A = (1/2)(5)(15/8) = 75/16 = 4 11/16

Then the total area, the value of the integral, is ...

6 3/4 +4 11/16 = 10 23/16 = 11 7/16 . . . the value of the integral

You might be interested in

{(7,4),(6,3),(5,3)}<br>function?<br>Explain

poizon [28]

Yes it is a function because there are not any repeating x values ( first number in each set of parentheses)

8 0

3 years ago

A right prism has a triangular base. The length of the base is 6 meters and the height of the base is 4 meters. The height of th

NNADVOKAT [17]

The volume of this right prism that has a triangular base is equal to 108 cubic meters.

<h3>The volume of a right prism.</h3>

Mathematically, the volume of a right prism is given by this formula:

V = L x W x H

<u>Where:</u>

L is the length.

W is the width.

H is the height.

V is the volume.

<u>Given the following data:</u>

Length of base = 6 meters.

Width of base = 4 meters. cm.

Height of prism = 4.5 meters.

Substituting the given parameters into the formula, we have;

V = 6 x 4 x 5

V = 108 cubic meters.

Read more on volume of prism here: brainly.com/question/3867601

3 0

2 years ago

Paola is selling bags of homemade caramel corn for a club fundraiser. The amount she makes depends on the number of bags sold. B

BlackZzzverrR [31]

Answer:

She realised $12 from selling 8 bags of caramel corn

Step-by-step explanation:

Given

(8, 12)

Required

Determine what it means based on the available information

A function is always written as (x,y)

Where x is dependent on y

By comparison,

x = bags of caramel corn = 8

y = amount realised = 12

Assuming the currency is in dollars

Conclusively,

She realised $12 from selling 8 bags of caramel corn.

5 0

3 years ago

What is 4 divided by 3/4?

musickatia [10]

Answer:

16/3 or 5.33

Step-by-step explanation:

Cross multiply

4/1 * 3/4

4 * 4 = 16

3 * 1 = 3

6 0

3 years ago

51: Y = 3: 5 value of Y

ivann1987 [24]

Answer:Y=25:3

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers