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
BigorU [14]
3 years ago
8

How do you do this question?

Mathematics
1 answer:
lesantik [10]3 years ago
6 0

Answer:

33/16

Step-by-step explanation:

x = y⁴/8 + 1/(4y²), 1 ≤ y ≤ 2

dx/dy = y³/2 − 1/(2y³)

Arc length is:

s = ∫ ds

s = ∫ √(1 + (dx/dy)²) dy

s = ∫₁² √(1 + (y³/2 − 1/(2y³))²) dy

s = ∫₁² √(1 + y⁶/4 − ½ + 1/(4y⁶)) dy

s = ∫₁² √(½ + y⁶/4 + 1/(4y⁶)) dy

s = ∫₁² ½ √(2 + y⁶ + 1/y⁶) dy

s = ∫₁² ½ √(y³ + 1/y³)² dy

s = ∫₁² ½ (y³ + 1/y³) dy

s = ½ (y⁴/4 − 1/(2y²)) |₁²

s = ½ (16/4 − 1/8) − ½ (1/4 − 1/2)

s = 33/16

You might be interested in
You charge customers $18.75 for lube service, parts, and labor. Assuming you take one hour's labor at $15, and the parts cost $3
hram777 [196]
Let
T---------> <span>the tax rate on the parts in $

we know that
$18.75=$15+$3.50+$T
T=18.75-15-3.5
T=$0.25
so
$3.50----------> 100%
$0.25--------> x
x=0.25*100/3.50------> x=7.14%------> x=7.1%

the answer is
7.1%</span>
5 0
2 years ago
En considérant que DE est
skad [1K]

Answer:

si

Step-by-step explanation:

5 0
3 years ago
Solve for x<br><br> 6^(x-2)=2(3^(3x+2))
viva [34]

Answer:

1. x = 3/2 = 1.500

2. x = ± √3 = ± 1.7321

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Tyler took a total of 16 quizzes over the course of four weeks. How many weeks of school will Tyler have to attend this quarter
wlad13 [49]

Answer:

he will have to go one more week and all together it would be five weeks

Step-by-step explanation:

16/4=4

you need four more to get to 20, and if he does 4 quizzes a week he only needs one more week.

7 0
3 years ago
PLS SOMEONE HELP I DO NOT UNDERSTAND PLS AND TY ASAP PLS PLS I WILL GIVE BRAINLIST AND PLS DONT BE A BOT
Kruka [31]

Answer:

35°

Step-by-step explanation:

The central arc is equal to the arc that subtends it, then

arc AC = 75° and

BC = AC - AB = 75° - 40° = 35°

8 0
2 years ago
Other questions:
  • PLZ HELP !!!! <br> Can someone please help me with number 7?
    5·1 answer
  • What is an equation of the line that passes through the points (1, 2) and (2, -1)?
    12·1 answer
  • The image of a transformation is the original figure before the transformation is performed.
    15·1 answer
  • Convert 78% to a decimal
    14·1 answer
  • (2,-4) is reflected across the x-axis. what are the coordinates of its image?
    12·2 answers
  • The price of an item yesterday was $180. Today, the price rose to $279. Find the percentage increase.
    11·2 answers
  • What is the answer to <br> 3 + 2x = -6x + 4
    11·1 answer
  • What is the equation of the product of 2 and the sum of 8 and y
    6·1 answer
  • If x = 9 units and h = 4 units, then what is the area of the triangle shown above?
    6·1 answer
  • What da dog doing?<br><br><br><br><br><br><br><br>can any one tell me​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!