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anyanavicka [17]
3 years ago
8

Sketch the regions enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximatin

g rectangle and label its height and width. (Do this on paper)
y=sqrt(x)
y=(1/3)x
x=16
Mathematics
1 answer:
quester [9]3 years ago
8 0
The required rectangle has a height of 4 units and a width of 16 units.
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Answer:

1. D

Step-by-step explanation:

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4. Find the solution of y = 2x + 5 for x = 1.<br> A (1, 7)<br> B (3, 1)<br> C (1, 12)<br> D (1, -2)
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A

Step-by-step explanation:

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Please help!!! keep in mind this is a REVIEW question. Which of the following is NOT a congruence transformation? A. a dilation
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Answer:

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A congruence transformation maintains the size of the shape.

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3 years ago
A farmer wants to fence a rectangular area of 72 square feet next to a river. Find the length and width of the rectangle which u
Arlecino [84]

Answer:

  • 12 ft parallel to the river
  • 6 ft perpendicular to the river

Step-by-step explanation:

The least fence is used when half the total fence is parallel to the river. That is, the shape of the rectangle is twice as long as it is wide.

72 = W(2W)

36 = W²

6 = W . . . . . . the width perpendicular to the river

12 = 2W . . . .  the length parallel to the river

_____

<em>Development of this relation</em>

Let T represent the total length of the fence for some area A. Then if x is the length along the river, the width is y=(T-x)/2, and the area is ...

  A = xy = x(T -x)/2

Note that the equation for area is that of a parabola with zeros at x=0 and at x=T. That is, for some fence length T, the area will be a maximum at the vertex of this parabola. That vertex is located halfway between the zeros, at ...

 x = (0 +T)/2 = T/2

The corresponding area width (y) is ...

  y = (T -T/2)/2 = T/4

Equivalently, the fence length T will be a minimum for some area A when x=T/2 and y=T/4. This is the result we used above.

8 0
3 years ago
What are irrational numbers​
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In mathematics, the irrational numbers are all the real numbers which are not rational numbers, the latter being the numbers constructed from ratios (or fractions) of integers.
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