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3 years ago

What is Indeterminate

Mathematics

1 answer:

Gnesinka [82]3 years ago

4 0

Not exactly known, established, or defined.

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Can I get help on 6 and 7

Aloiza [94]

The cost depend on the number pencils, so the cost is the y and # of pencils is the x
Same as for question 7
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3 years ago

If 400 bricks measuring 81" by 31" are required to build a wall 42 ft. high, how long is the wall

musickatia [10]

Idek lol but yeah have a good day

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2 years ago

Answer question in image attached :) 20 points ! I think it is 2/4 just not 100% sure :/

sergiy2304 [10]

Answer:

$\sf \dfrac{BC}{BD} = \dfrac{2}{4}$

Explanation:

BD distance is 4 units

BC distance is 2 units

so in fractions:

$\sf \dfrac{BC}{BD} = \dfrac{2}{4}$

$\sf \dfrac{BC}{BD} = \dfrac{1}{2}$

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2 years ago

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Calculate s f(x, y, z) ds for the given surface and function. g(r, θ) = (r cos θ, r sin θ, θ), 0 ≤ r ≤ 4, 0 ≤ θ ≤ 2π; f(x, y, z)

Triss [41]

$g(r,\theta)=(r\cos\theta,r\sin\theta,\theta)\implies\begin{cases}g_r=(\cos\theta,\sin\theta,0)\\g_\theta=(-r\sin\theta,r\cos\theta,1)\end{cases}$

The surface element is

$\mathrm dS=\|g_r\times g_\theta\|\,\mathrm dr\,\mathrm d\theta=\sqrt{1+r^2}\,\mathrm dr\,\mathrm d\theta$

and the integral is

$\displaystyle\iint_Sx^2+y^2\,\mathrm dS=\int_0^{2\pi}\int_0^4((r\cos\theta)^2+(r\sin\theta)^2)\sqrt{1+r^2}\,\mathrm dr\,\mathrm d\theta$

$=\displaystyle2\pi\int_0^4r^2\sqrt{1+r^2}\,\mathrm dr=\frac\pi4(132\sqrt{17}-\sinh^{-1}4)$

###

To compute the last integral, you can integrate by parts:

$u=r\implies\mathrm du=\mathrm dr$

$\mathrm dv=r\sqrt{1+r^2}\,\mathrm dr\implies v=\dfrac13(1+r^2)^{3/2}$

$\displaystyle\int_0^4r^2\sqrt{1+r^2}\,\mathrm dr=\frac r3(1+r^2)^{3/2}\bigg|_0^4-\frac13\int_0^4(1+r^2)^{3/2}\,\mathrm dr$

For this integral, consider a substitution of

$r=\sinh s\implies\mathrm dr=\cosh s\,\mathrm ds$

$\displaystyle\int_0^4(1+r^2)^{3/2}\,\mathrm dr=\int_0^{\sinh^{-1}4}(1+\sinh^2s)^{3/2}\cosh s\,\mathrm ds$

$\displaystyle=\int_0^{\sinh^{-1}4}\cosh^4s\,\mathrm ds$

$=\displaystyle\frac18\int_0^{\sinh^{-1}4}(3+4\cosh2s+\cosh4s)\,\mathrm ds$

and the result above follows.

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3 years ago

Dwayne has $80 to spend on video games . used video games cost $10 each , and new video games cost 20 each. What equation in sta

Gwar [14]

Answer:

The answer is 80>or=10x+20y

5 0

3 years ago

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