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3 years ago

Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong.

Mathematics

1 answer:

faltersainse [42]3 years ago

3 0

Answer

3.3

Step-by-step explanation:

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Find the length of the curve y = 3/5x^5/3 - 3/4x^1/3 + 6 for 1 < = x < = 8. The length of the curve is . (Type an exact an

Mashutka [201]

Answer:

$\sqrt\frac{387}{20}$

Step-by-step explanation:

$Arc Length =\int\limits^a_b {\sqrt{1+(\frac{dy}{dx})^2 } } \, dx$

$y=\dfrac{3}{5}x^{\frac{5}{3}}- \dfrac{3}{4}x^{\frac{1}{3}}+6$

$\frac{dy}{dx} =x^{\frac{2}{3}}-\dfrac{1}{4}x^{-\frac{2}{3}}$

$1+(\frac{dy}{dx})^2 }=1+(x^{\frac{2}{3}}-\dfrac{1}{4}x^{-\frac{2}{3}})^2\\=1+(x^{\frac{4}{3}}-\dfrac{1}{2}+ \dfrac{1}{16}x^{-\frac{4}{3}})$

$=\dfrac{1}{2}+x^{\frac{4}{3}}+ \dfrac{1}{16}x^{-\frac{4}{3}}$

For the Interval $1\leq x\leq 8$

Length of the Curve $=\int\limits^8_1 {\sqrt{\dfrac{1}{2}+x^{\frac{4}{3}}+ \dfrac{1}{16}x^{-\frac{4}{3}} } } \, dx\\$

Using T1-Calculator

$=\sqrt\frac{387}{20}$

3 0

3 years ago

Pls tell the answer fast please

jekas [21]

Answer:

If I had to take an educated guess I'd say 126° but I'm not 100% sure.

7 0

2 years ago

Read 2 more answers

Simplify 2−4÷2+2^3 Please help

mars1129 [50]

Divide then multiply then do left to right

8 0

3 years ago

LCM of 294 and 1260

Alex Ar [27]

Answer:

8820

Step-by-step explanation:

Prime factorization of 294,

→ 2 × 3 × 7 × 7

Prime factorization of 1260,

→ 2 × 2 × 3 × 3 × 5 × 7

LCM of 294 and 1260,

→ 2 × 2 × 3 × 3 × 5 × 7 × 7

→ 8820

Hence, the LCM is 8820.

4 0

1 year ago

Carl and Bob can demolish a building in 6 days, Anne and Bob can do it in 3, Anne and Carl in 5. How many days does it take all

nata0808 [166]

Answer:

59/20 days or 2.95 days

Step-by-step explanation:

Let Carl do the job in c days, Anne- in a, and Bob in b days

Then the portion of job they can do is 1/c, 1/a and 1/b

As per given we have below equations:

1/c + 1/b= 1/6
1/a + 1/b = 1/3
1/a + 1/c = 1/5

Sum of all 3 equations gives us:

2(1/a + 1/b + 1/c) = 1/6 + 1/3 + 1/5
2(1/a + 1/b + 1/c) = 5/30 + 10/30 + 6/30
2(1/a + 1/b + 1/c) = 21/30
2(1/a + 1/b + 1/c) = 7/10
1/a + 1/b + 1/c = 7/20

It means all three together can complete 7/20 of the job in one day

The rest of the job is done by Anne and Bob:

1 - 7/20 = 13/20

As Anne and Bob can do 1/3 of the job in one day, they need time to complete the rest:

13/20:1/3 = 39/20

Add 1 day to this to find overall time:

1 + 39 /20 = 59/20 days or 2.95 days

4 0

3 years ago