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3 years ago

HELPPP ASAPP PLEASEE

Mathematics

1 answer:

Annette [7]3 years ago

3 0

Answer:

y = x/2

x = 2y

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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

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

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3 years ago

51 is 17% of which number?

jeyben [28]

Answer:

300

Step-by-step explanation:

17/100x=51

x=300

17/100(300)=51

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3 years ago

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Help me please. X-2›3

Alenkinab [10]

Add 2 to 3 and then your answer is x>5

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The length of the hypotenuse of an isosceles

Naddika [18.5K]

Answer:

Step-by-step explanation:

the length of one leg of the given isosceles triangle is 12.

we get it by using pythagorous theorem

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The ordered pair (2,-5.2) is located in Quadrant IV

Vladimir79 [104]

Answer: True

Step-by-step explanation:

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