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sukhopar [10]
3 years ago
15

Imagine that we put a raisin cake into the oven, with each raisin separated from the others by 1 cm. an hour later, we take it o

ut and the distances between raisins are 3 cm. if you lived in one of the raisins and watched the other raisins as the cake expanded, which of the following would you conclude? - all raisins would be moving away from you at the same speed. - it depends: if you lived in a raisin near the left side of the cake, you'd see other raisins moving away from you, but they'd be coming toward you if you lived in a raisin near the right side of the cake.- more distant raisins would be moving away from you faster. - more distant raisins would be moving away from you more slowly.

Mathematics
2 answers:
Elza [17]3 years ago
7 0

Answer:

More distant raisin would be moving away from you faster

Step-by-step explanation:

As the cake expands, it expands around the center causing other raisins to move away from the center with the extreme raisins moving faster away from the observation.

wariber [46]3 years ago
3 0

Answer:

All raisins would be moving away from you at the same speed, without any dependence

Step-by-step explanation:

As you can see in the graph it is irrelevant if they are on one side or another of the cake since you would see everyone moving away from you at the same speed since the cake must undoubtedly expand to establish a distance of 3cm between the raisins .

Note: It should be understood that the dough should be uniform and the ideal cooking conditions for a standard cake

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A special liquid is held in a tank described as (x 2 + y 2 ) ≤ z ≤ 1 in a Cartesian coordinate system. Assume that the density o
vivado [14]

Since \rho=\dfrac mV (density = mass/volume), we can get the mass/weight of the liquid by integrating the density \rho(x,y,z) over the interior of the tank. This is done with the integral

\displaystyle\int_{-1}^1\int_{-\sqrt{1-x^2}}^{\sqrt{1-x^2}}\int_{x^2+y^2}^1(2-z^2)\,\mathrm dz\,\mathrm dy\,\mathrm dx

which is more readily computed in cylindrical coordinates as

\displaystyle\int_0^{2\pi}\int_0^1\int_{r^2}^1(2-z^2)r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta=\boxed{\frac{3\pi}4}

7 0
3 years ago
Solve the following differential equations or initial value problems. In part (a), leave your answer in implicit form. For parts
shepuryov [24]

Answer:

(a) (y^5)/5 + y^4 = (t^3)/3 + 7t + C

(b) y = arctan(t(lnt - 1) + C)

(c) y = -1/ln|0.09(t + 1)²/t|

Step-by-step explanation:

(a) dy/dt = (t^2 + 7)/(y^4 - 4y^3)

Separate the variables

(y^4 - 4y^3)dy = (t^2 + 7)dt

Integrate both sides

(y^5)/5 + y^4 = (t^3)/3 + 7t + C

(b) dy/dt = (cos²y)lnt

Separate the variables

dy/cos²y = lnt dt

Integrate both sides

tany = t(lnt - 1) + C

y = arctan(t(lnt - 1) + C)

(c) (t² + t) dy/dt + y² = ty², y(1) = -1

(t² + t) dy/dt = ty² - y²

(t² + t) dy/dt = y²(t - 1)

(t² + t)/(t - 1)dy/dt = y²

Separating the variables

(t - 1)dt/(t² + t) = dy/y²

tdt/(t² + t) - dt/(t² + t) = dy/y²

dt/(t + 1) - dt/(t(t + 1)) = dy/y²

dt/(t + 1) - dt/t + dt/(t + 1) = dy/y²

Integrate both sides

ln(t + 1) - lnt + ln(t + 1) + lnC = -1/y

2ln(t + 1) - lnt + lnC = -1/y

ln|C(t + 1)²/t| = -1/y

y = -1/ln|C(t + 1)²/t|

Apply y(1) = -1

-1 = ln|C(1 + 1)²/1|

-1 = ln(4C)

4C = e^(-1)

C = (1/4)e^(-1) ≈ 0.09

y = -1/ln|0.09(t + 1)²/t|

8 0
3 years ago
What do you know to be true about the values of p and q?
Harrizon [31]

The thing that's true about the values p and q is that p = q.

The total <em>sum of the angles</em> in a triangle is 180°.

From the first triangle, the value of p will be:

80° + 20° + p = 180°

100° + p = 180°

p = 180° - 100°

p = 80°

From the second triangle, the value of q will be:

55° + 45° + q = 180°

100° + q = 180°

q = 180° - 100°

q = 80°

Therefore, p = q.

Read related link on:

brainly.com/question/16020981

7 0
2 years ago
If the average of 3 numbers and 8 is 25 what is the sum of the three numbers
Gennadij [26K]
Let sum of 3 numbers be x.

Average of 3 numbers and 8 = \frac{x + 8}{4}

25 = \frac{x +8}{4}

100 = x +8

x= 92.

The sum of 3 numbers is 92.


3 0
3 years ago
Eric spent $21.85, including sales tax, on 2 jerseys and 3 pairs of socks. The jerseys cost $6.75 each and the total sales tax w
maria [59]

Answer

Cost of each jersey $6.75

Cost of each pair of socks $4.69

Cost of sales tax $1.03

Step-by-step explanation:

To find the cost of the socks you fist add $6.75 + $1.03 and you get $7.78.Then you subtract that by $21.85.After that you do $14.07 divided by 3 and you get $4.69.

6 0
2 years ago
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