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lesya [120]
3 years ago
15

The portions of a house that need to be heated can be modeled by one rectangular prism with a length of 45 feet, a width of 20 f

eet, and a height of 18 feet, and a second rectangular prism with a base area of 350 square feet and a height of 9 feet. What is the total volume?
Mathematics
1 answer:
Rasek [7]3 years ago
6 0
45x20x18=16,200
350x9=3150
total = 19,350
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Answer:

  see below

Step-by-step explanation:

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Read 2 more answers
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Leokris [45]

(a) mtan refers to the slope of the tangent line. Given <em>f(x)</em> = 9 + 7<em>x</em> ², compute the difference quotient:

\dfrac{f(x+h)-f(x)}h = \dfrac{(9+7(x+h)^2)-(9+7x^2)}h = \dfrac{(9+7x^2+14xh+7h^2)-9-7x^2}h = \dfrac{14xh+7h^2}h

Then as <em>h</em> approaches 0 - bearing in mind that we're specifically considering <em>h</em> <em>near</em> 0, and not <em>h</em> = 0 - we can eliminate the factor of <em>h</em> in the numerator and denominator, so that

m_{\rm tan} = \displaystyle \lim_{h\to0}\frac{f(x+h)-f(x)}h = \lim_{h\to0}\frac{14xh+7h^2}h = \lim_{h\to0}(14x+7h) = 14x

and so the slope of the line at <em>P</em> (0, 9), for which we take <em>x</em> = 0, is 0.

(b) The equation of the tangent line is then <em>y</em> = 9.

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Check the picture below.

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