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gogolik [260]
3 years ago
5

Help with question 17

Mathematics
1 answer:
Kruka [31]3 years ago
7 0
Ok if you show me the question I can try to help but you got to show it
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Which of the following is the reciprocal parent function?<br><br> (Please help ASAP)
ivolga24 [154]

Answer:

C

Step-by-step explanation:

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Find the length of the curve y = integral from 1 to x of sqrt(t^3-1)
Arlecino [84]
y=\displaystyle\int_1^x\sqrt{t^3-1}\,\mathrm dt

By the fundamental theorem of calculus,

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm d}{\mathrm dx}\displaystyle\int_1^x\sqrt{t^3-1}\,\mathrm dt=\sqrt{x^3-1}

Now the arc length over an arbitrary interval (a,b) is

\displaystyle\int_a^b\sqrt{1+\left(\frac{\mathrm dy}{\mathrm dx}\right)^2}\,\mathrm dx=\int_a^b\sqrt{1+x^3-1}\,\mathrm dx=\int_a^bx^{3/2}\,\mathrm dx

But before we compute the integral, first we need to make sure the integrand exists over it. x^{3/2} is undefined if x, so we assume a\ge0 and for convenience that a. Then

\displaystyle\int_a^bx^{3/2}\,\mathrm dx=\frac25x^{5/2}\bigg|_{x=a}^{x=b}=\frac25\left(b^{5/2}-a^{5/2}\right)
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3 years ago
What is 1,000,000 times 1/3
VARVARA [1.3K]
333333.333333333333333333
 :) lol

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A 42" diameter table needs a tablecloth that hangs off the edge 8". What is the radius of the tablecloth? 29" 21" 25" 50"
Blababa [14]
I think the answer is 50" because if the table is 42" and it needs to hang over 8" then it would have to be 50"
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Miguel borrowed $1,800for 2 years and ended up paying $180 in simple interest . What was the interest rate
Gala2k [10]
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