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3 years ago

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9. (a) Assume that the insulation around a rod is faulty in that the heat in each small slab leaks through the insulation at a r

ate proportional to the temperature of the slab. Show that the temperature u(x,t) then obeys the equation u,

1 answer:

Allushta [10]3 years ago

5 0

Answer: see attached file

Step-by-step explanation:

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Which of the following expressions is equivalent to the radical expression?

qwelly [4]

The correct answer is B) $m^{2/3}n^{5/3}$ .

The denominator of the exponent is the root we are taking. The numerator is the exponent of the radicand. This means 3 will be the denominator, since it is a cubed root, and 2 will be the numerator of m while 5 will be the numerator of n.

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3 years ago

Ben said the graph of the inequality

Ksivusya [100]

Answer:

Ben is incorrect

The solutions are x>-3 and x < 3

Step-by-step explanation:

we have

$-x^{2} +9 > 0$

Multiply by -1 both sides

$x^{2} -9 < 0$

Adds 9 both sides

$x^{2} < 9$

The solutions are

$x < 3$

and

$-x < 3$ -----> Multiply by -1 both sides ----> $x > -3$

therefore

The solution is the interval (-3,3)

Ben is incorrect

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3 years ago

Evaluate the triple integral_E x^6e^y dV where E is bounded by the parabolic cylinder z = 25 - y^2 and the planes z = 0, x = 5,

Nimfa-mama [501]

Nothing crazy here, just a matter of figuring out the limits of integration.

$\displaystyle\iiint_Ex^6e^y\,\mathrm dV=\int_{-5}^5\int_{-5}^5\int_0^{25-y^2}x^6e^y\,\mathrm dz\,\mathrm dy\,\mathrm dx$

$=\displaystyle\int_{-5}^{-5}\int_{-5}^5x^6e^y(25-y^2)\,\mathrm dy\,\mathrm dx$

$=\displaystyle\left(\int_{-5}^5x^6\,\mathrm dx\right)\left(\int_{-5}^5e^y(25-y^2)\,\mathrm dy\right)=\boxed{\frac{625,000(3+2e^{10})}{7e^5}}$

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3 years ago

9, 2.5, –4, –10.5, –17, .

Vedmedyk [2.9K]

What do you mean? If you want it in order than you can say it. -17, -10.5, -4, 2.5, 9

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4 years ago

which equation is in slope intercept form and represents a line with slope 3 through the point (9,-4)?

faust18 [17]

Answer:

y = 3x - 23

Step-by-step explanation:

y + 4 = 3(x - 9)

y + 4 = 3x - 27

y = 3x - 23

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3 years ago