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
nevsk [136]
2 years ago
11

Which of the following integrals represents the area of the region bounded in the first quadrant by x = pi/ 4 and the functions

f(x) = sec^2(x) and g(x) = sin(x)?

Mathematics
1 answer:
Kaylis [27]2 years ago
7 0

Answer:

option B is true.

Step-by-step explanation:

We are given that two functions

f(x)=sec^2x and g(x)=sin x and a line x =\frac{\pi}{4}

We have to find the area of the region bounded in the first quadrant by x={\pi}{4} and two functions

We know that the area bounded by two functions

=Integration of region(Upper curve- lower curve)

Therefore, function of sec square x is upper curve and function of sin x is lower function

Therefore, limit of x changing from 0 to \frac{\pi}{4}

Hence, the area of the region bounded in the first quadrant and two functions is given by

=\int_{0}^{\frac{\pi}{4}} (sec^2x-sinx) dx

Therefore, option B is true.

You might be interested in
6h+(-7.3d)-13+5d-2.6h=? PLEASE HELP ASAP​
Strike441 [17]

Answer:

-2.3d+3.4h-13

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Im giving 30 points pls help
gayaneshka [121]

Step-by-step explanation:

Pathagory and Theorem

a^2+b^2=c^2

(x-3)^2+(x-4)^2=6^2

expand:

2x^2-14x+25=36

2x^2-14x-11=0

x=(\sqrt{71}+7)/2

perimeter=(x-3)+(x-4)+6=2x-1

insert the value for x into 2x-1

\sqrt{71}+6=perimeter

Hope that helps :)

7 0
3 years ago
Read 2 more answers
Which of the following pairs of functions are inverses of each other ​
Ghella [55]

Option (A) represents the function and its inverse of a function option (A) is correct.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function and inverse of a function shown in the picture.

Checking for option (A):

\rm f(x) = \dfrac{x}{4}+10 \ \ \ and \  \ \ g(x)  = 4x -10

Taking f(x):

\rm f(x) = \dfrac{x}{4}+10

To find the inverse of a function interchange the x and y variables:

f(x) → x

x  → g(x)

\rm x = \dfrac{g(x)}{4}+10

Solving:

4x = g(x) + 10

g(x) = 4x - 10

Similarly, we can find the inverse of a function.

Thus, option (A) represents the function and its inverse of a function option (A) is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

8 0
2 years ago
Read 2 more answers
Help me with this pls
EastWind [94]

Answer:

the diameter is 6 units

Step-by-step explanation:

3×2=6

8 0
2 years ago
Read 2 more answers
I need help! PLEASE HELPP PLEASE HELP!!!
DanielleElmas [232]

Answer:

Part 1: 31x+25=180

part 2: x=5

Step-by-step explanation:

there are 180° on a straight line, which is the base/ bottom line of the traingle (indicated by the arrow on the end).

so, 180-151= 29

29° is the third angle on the traingle.

now, there are 180° in a triangle, therefore to find an equation for x:

29+20x-3+11x-1= 180 (adding up all the angles and making it equal to 180°)

now simplify this equation to get:

31x+25=180 (PART 1)

to find x simply solve the equation:

31x=180-25

31x= 155

x= 155/31

x=5 (PART 2)

4 0
3 years ago
Other questions:
  • Write an algebraic expression to answer the question below. if 10 calculators cost d dollars, how much, in dollars, does each ca
    5·1 answer
  • FOR A FUNDRAISER THE BASKETBALL TEAM IS SELLING 75 WRIST BANDS FOR $3 EACH
    14·2 answers
  • Solve for y. Answer to the nearest tenth
    8·1 answer
  • Find the slope of regular AB, and make sure you reduce the fraction to simpelist form 
    10·1 answer
  • What does x equal? 1/2x-8=4x-15
    9·2 answers
  • X+17=36 answer the question
    9·1 answer
  • Felipe just started collecting stamps. he has 36 stamps so far. His uncle Caro has 1,890 stamps in his collection. The number of
    15·1 answer
  • Olivia grows onions. She has 9 onions in each row of her garden. Her garden has 5 rows. Today she harvested 7 onions. How many o
    9·1 answer
  • What are your guys favorite marsupials?
    13·1 answer
  • The circle has a Circumference of a 9.42units. What is the area of the square? Use 3.14
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!