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Vikentia [17]
3 years ago
13

Which represents the domain of the relation {(–1, 4), (2, –3), (0, –2), (1, –3)}? {–3, –2, 4} {–3, –2, –1, 0, 1, 2, 4} {–1, 0, 1

, 2} {–3}
Mathematics
1 answer:
sertanlavr [38]3 years ago
5 0

Answer:

(2, -3)

Step-by-step explanation:

(2,-3)

(0, -3)

(1, -3)

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The domain of the function in this case will be for when the denominator is different from zero:
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Let V be the volume of the solid obtained by rotating about the y-axis the region bounded y = 4x and y = x2/4 . Find V by slicin
aliya0001 [1]

Answer:

Step-by-step explanation:

Consider the graphs of the y = 4x  and  y = \frac{x^{2} }{4}.

By equating the expressions, the intersection points of the graphs can be found and in this way delimit the area that will rotate around the Y axis.

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The inverse functions are given by:

x = 2 \sqrt{y}  and  x = \frac{y}{4}. Then

The volume of the solid of revolution is given by:

\int\limits^{64}_ {0} \, [2\sqrt{y} - \frac{y}{4}]^{2}  dy = \int\limits^{64}_ {0} \, [4y - y^{3/2} + \frac{y^{2}}{16} ]\  dy = [2y^{2} - \frac{2}{5}y^{5/2} + \frac{y^{3}}{48} ]\limits^{64}_ {0} = 546.133 u^{2}

6 0
3 years ago
At a soccer tournament 121212 teams are wearing red shirts, 666 teams are wearing blue shirts, 444 teams are wearing orange shir
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Answer:

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Step-by-step explanation:

8 0
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A boundary stripe 6 in. wide is painted around a rectangle whose dimensions are 120 ft by 230 ft. Use differentials to approxima
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Answer:

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Step-by-step explanation:

We are given that

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dA=230\times 1+120\times 1=350 ft^2

Hence, the number of square feet of paint in the strip=350 square feet

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3 years ago
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