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arsen [322]
2 years ago
9

Please help!

Mathematics
1 answer:
Murrr4er [49]2 years ago
3 0

The integral which expresses the area of the region bounded by y = ¹/₂x - 2 and y = ∛x is; ∫⁸₀((x^(1/3)) - ¹/₂x + 2

<h3>How to integrate between two curves?</h3>

We are given the functions as;

y = ¹/₂x - 2

y = ∛x

Now, from the graph the coordinate of the point where both curves intersect is at; (8, 2)

Thus, the x-coordinate here is x = 8

∛x - (¹/₂x - 2)

∛x - ¹/₂x + 2

Similarly, another point of intersection of both curves is at the coordinate (0, -2). Thus, the x-coordinate here is; x = 0

Thus, the integral which expresses the area of the region bounded by y = ¹/₂x - 2 and y = ∛x is; ∫⁸₀((x^(1/3)) - ¹/₂x + 2

Read more about Integration at; brainly.com/question/16415788

#SPJ1

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180 degree clockwise rotation about center and a dilation of 0.5.

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A window shaped like a parallelogram has an area of 62 1/3 square feet. The height of the window is 7 1/4 feet. How long is the
Sindrei [870]

Answer:

b ≈ 8.60 ft

Step-by-step explanation:

The formula of a parallelogram is

A = bh

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b = A/h

b = 62⅓/7¼

b = (187/3) ÷ (29/4)

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b = 748/87

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The base of the window is about 8.60 ft long.

3 0
3 years ago
As an estimation we are told £3 is €4.
Lesechka [4]

Answer:

£50.63

Step-by-step explanation:

If €4 = £3

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Now, Converting  €67.50 to pounds,

67.50 * 3/4 =  £50.625

£50.63 (answer rounded to 2 DP)

Current time conversion,

67.50 Euro equals  60.68 Pound sterling

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