1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Hunter-Best [27]
2 years ago
15

1. Find the area of the region bounded above by y = e^x, bounded below by y = x, and bounded on the sides

Mathematics
1 answer:
salantis [7]2 years ago
3 0

The area of the region bounded above by y= eˣ bounded by y = x, and bounded on the sides; x =0; and x = 1 is given as e¹ - 1.5.

<h3>What is the significance of "Area under the curve"?</h3>

This is the condition in which one process increases a quantity at a certain rate and another process decreases the same quantity at the same rate, and the "area" (actually the integral of the difference between those two rates integrated over a given period of time) is the accumulated effect of those two processes.

<h3>What is the justification for the above answer?</h3>

Area = \int\limits^1_0 {(e^x-x)} \, dx

= \int\limits^1_0 {e^x-x} \, dx - \int\limits^1_0 {(x)} \, dx

= e¹-(1/2-0); or

Area = e -1.5 Squared Unit

The related Graph is attached accordingly.

Learn more about area bounded by curve:
brainly.com/question/27866606
#SPJ1

You might be interested in
The rate at which an assembly line workers efficiency E (expressed as a percent) changes with respect to time t is given by E'(t
zavuch27 [327]

By the fundamental theorem of calculus,

E(t)=E(1)+\displaystyle\int_1^t E'(u)\,\mathrm du

So we have

E(t)=92+\displaystyle\int_1^t(75-6u)\,\mathrm du

E(t)=92+(75u-3u^2)\bigg|_1^t

E(t)=20 + 75 t - 3 t^2

4 0
3 years ago
The Great Pyramid of Giza is an example of a square pyramid and is the last
Verdich [7]

Answer:

The surface area of the pyramid is 466,137 squared cubits

Step-by-step explanation:

This is simply asking us to find the surface area of the square based pyramid with the given dimensions.

The first thing we need to know is the principle for finding the surface area of such pyramidal shapes. To get the surface area of a pyramid, we will have to add the base area to the area of the side faces ( lateral area)

The base area of the square based pyramid, will be the same as the area of a square which is = 453 cubits X 453 cubits =205209 cubits^{2}

The lateral area has already been given to us as 260,928 squared cubits.

The surface area of the pyramid is 260,928 + 205209 = 466137 squared cubits

Hence, the surface area of the pyramid is 466137 squared cubits

5 0
3 years ago
For the statement? below, write the claim as a mathematical statement. State the null and alternative hypotheses and identify wh
snow_tiger [21]

Answer:

Option E - sigma greater than or equal to $327

Step-by-step explanation:

In this question, we are testing whether the standard deviation of the base price of a certain type of all-terrain vehicle is at least $327.

Now, standard deviation is denoted by the symbol sigma(σ). Since the test is saying it should be at least $327, it means it should either be equal to $327 or greater than $327.

Thus, we would use the symbol ≥ which means "greater than or equal to".

Thus, the claim as a mathematical statement would be;

sigma greater than or equal to $327

5 0
3 years ago
Your family went out to eat and the total bill was 68.50. If you leave a 15% tip, what is the total cost of the bill
KatRina [158]

Answer:

$ 78.78

Step-by-step explanation:

Calculate 15% of 68.50. then add it to the total bill.

6 0
3 years ago
Read 2 more answers
What is the common denominator for 1 2/3 and 3/4
Elena L [17]

Answer:

The answer is 12

Step-by-step explanation:

Multiply 1*3

Add 2 to the number

Change the first number to 5/3

Multiply 3*4

3 0
3 years ago
Other questions:
  • Can someone help me I’m so confuse on this question help me
    9·2 answers
  • The first term of a geometric sequence is 3 and the multiplier, or ratio, is 2. What is the sum of the first 6 terms of the sequ
    7·1 answer
  • Chicago Pizza charges $10.49 for a medium 14" pepperoni pizza and NY Pizza charges $20.99 for an x-large 18" pepperoni pizza.
    13·1 answer
  • Help me please I don’t know what the answer is
    15·1 answer
  • Construct a binomial whose greatest common factor is 2x^3
    6·1 answer
  • <img src="https://tex.z-dn.net/?f=3%20%5Cfrac%7B5%7D%7B6%7D%20%20%2B%20%20%5Cfrac%7B3%7D%7B2%7D%20" id="TexFormula1" title="3 \f
    7·1 answer
  • A cruise company would like to estimate the average beer consumption to plan its beer inventory levels on future​ seven-day crui
    11·1 answer
  • Each Parking Spot is 8 feet Wide A parking lot has 24 parking spots side by side What is the width measured in yards of the park
    11·1 answer
  • Two of the statements are true; one is a lie.
    15·1 answer
  • Subtract 2xy from 6xy<br>​
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!