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skad [1K]
3 years ago
11

When Mr. Davidson preheated his oven, the oven's temperature rose 3 degrees in 1 6 of a minute. At that rate, how much will the

oven heat up in 1 minute?
Mathematics
1 answer:
lesya [120]3 years ago
5 0

Answer:

18 degrees

Step-by-step explanation:

When Mr. Davidson preheated his oven, the oven's temperature rose 3 degrees in 1/ 6 of a minute. At that rate, how much will the oven heat up in 1 minute?

Solving the above question

1/6 minute = 3 degrees

1 minute = x

Cross y

1/6x = 3 × 1

x = 3 ÷ 1/6

x = 3 × 6

x = 18 degrees

The oven will heat up 18 degrees in 1 minute

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How do you do this question?
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Answer:

V = (About) 22.2, Graph = First graph/Graph in the attachment

Step-by-step explanation:

Remember that in all these cases, we have a specified method to use, the washer method, disk method, and the cylindrical shell method. Keep in mind that the washer and disk method are one in the same, but I feel that the disk method is better as it avoids splitting the integral into two, and rewriting the curves. Here we will go with the disk method.

\mathrm{V\:=\:\pi \int _a^b\left(r\right)^2dy\:},\\\mathrm{V\:=\:\int _1^3\:\pi \left[\left(1+\frac{2}{y}\right)^2-1\right]dy}

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V\:=\:\int _1^3\:\pi \left[\left(1+\frac{2}{y}\right)^2-1\right]dy,\\\\\mathrm{Take\:the\:constant\:out}:\quad \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx\\=\pi \cdot \int _1^3\left(1+\frac{2}{y}\right)^2-1dy\\\\\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx\\= \pi \left(\int _1^3\left(1+\frac{2}{y}\right)^2dy-\int _1^31dy\right)\\\\

\int _1^3\left(1+\frac{2}{y}\right)^2dy=4\ln \left(3\right)+\frac{14}{3}, \int _1^31dy=2\\\\=> \pi \left(4\ln \left(3\right)+\frac{14}{3}-2\right)\\=> \pi \left(4\ln \left(3\right)+\frac{8}{3}\right)

Our exact solution will be V = π(4In(3) + 8/3). In decimal form it will be about 22.2 however. Try both solution if you like, but it would be better to use 22.2. Your graph will just be a plot under the curve y = 2/x, the first graph.

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In this question, we have to find the complement and supplement of the given angles .

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So to find the complement and supplement angles, we need to subtract the given angles from pi/2 and pi respectively .

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