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
r-ruslan [8.4K]
3 years ago
7

Consider the following. x = t2 − 2t, y = t5, 1 ≤ t ≤ 4 Set up an integral that represents the length of the curve. 4 1 dt Use yo

ur calculator to find the length correct to four decimal places.
Mathematics
1 answer:
zavuch27 [327]3 years ago
5 0

Answer:

L ≈ 1023.0562

Step-by-step explanation:

We are given;

x = t² - 2t

dx/dt = 2t - 2

Also, y = t^(5)

dy/dt = 5t⁴

The arc length formula is;

L = (α,β)∫√[(dx/dt)² + (dy/dt)²]dt

Where α and β are the boundary points. Thus, applying this to our question, we have;

L = (1,4)∫√[(2t - 2)² + (5t⁴)²]dt

L = (1,4)∫√[4t² - 8t + 4 + 25t^(8)]dt

L = (1,4)∫√[25t^(8) + 4t² - 8t + 4]dt

Using online integral calculator, we have;

L ≈ 1023.0562

You might be interested in
The fare for a run on a particular private transport application consists of two parts, a fixed part of $ 4.60, charged regardle
GrogVix [38]

Answer:

B) 33 kilometers

Step-by-step explanation:

correct me if iḿ wrong

5 0
3 years ago
All members of our painting team paint at the same rate. If $20$ members can paint a $4800$ square foot wall in $36$ minutes, th
Softa [21]

Answer:

It takes 70 minutes for 9 team members (painting 60 sq ft per minute) to paint a 4200 sq ft wall.

Step-by-step explanation:

According to the situation the calculation is shown below:-

= \frac{4800}{20}

= 240 sq ft each member of the team in 36 minutes

= \frac{240}{36}

= 6.67 sq ft each member of the team within 1 minute

= 6.67\times 9

= 60 sq ft for every 9 team members in one minute

= \frac{4200}{60}

= 70 minutes (or 1 hour and 10 minutes)

Hence, the 70 minutes is taken for 9 team members

8 0
3 years ago
Please help fast hard math
finlep [7]
The answer would be B
3 0
4 years ago
Read 2 more answers
An employee earns a 12% commission rate on the cameras he sells. If he earns $384 in commission, what were his total sales?
Vlad1618 [11]
I do questions like these a little different than most people so...

384/12= 32 (32 is 1% of his sales)
32*100= 3200

His total sales were $3200.
4 0
3 years ago
Read 2 more answers
Suppose you were to draw all possible samples of size 36 from a large population with a mean of 650 and a standard deviation of
Lady_Fox [76]

Answer:

By the Central Limit Theorem, it is approximately normal with mean 650 and standard deviation 4.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 650 and a standard deviation of 24.

This means that \mu = 650, \sigma = 24.

Sample of 36:

This means that n = 36, s = \frac{24}{\sqrt{36}} = 4

What is the shape of the sampling distribution you would expect to produce?

By the Central Limit Theorem, it is approximately normal with mean 650 and standard deviation 4.

7 0
3 years ago
Other questions:
  • company A offers a semimonthly salary of $2468, company B offers a biweekly salary of $2421. Which company offers the greater an
    11·1 answer
  • A set of exam scores is normally distributed and has a mean of 80.2 and a standard deviation of 11. What is the probability that
    11·1 answer
  • Express the polynomial −g + 3g + 2g2 in standard form and then classify it.
    15·1 answer
  • How do I simplify the expression around the perimeter of the triangle?
    7·1 answer
  • The time for a professor to grade a student's homework in statistics is normally distributed with a mean of 12.6 minutes and a s
    13·1 answer
  • Evaluate the following expression if x=4 28x-9(2x+6)
    8·2 answers
  • Find the distance between the two numbers on a number line. Write your answer as a fraction in simplest form. - 7/9, - 2/9 The d
    8·1 answer
  • What is the area of the figure? <br> A) 18 yd2 <br> B) 54 yd2 <br> C) 72 yd2 <br> D) 90 yd2
    10·1 answer
  • PLEASE HELP
    7·1 answer
  • Х у
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!