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amid [387]
2 years ago
7

Question 1

Mathematics
1 answer:
Readme [11.4K]2 years ago
8 0

Answer:

Step-by-step explanation:

0.41

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Guys pls help me!!!!!
marusya05 [52]

Answer:#3

Step-by-step explanation:

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3 years ago
Find the slope of a line perpendicular to a line through the given points.<br><br> E(5, 7), F(3, 1)
lisabon 2012 [21]
The slope of a line going through points (5,7) and (3,1) is 6/2 so 3/1 = slope of 3
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3 years ago
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x, y =
miss Akunina [59]

Answer:

381.18 cubic units

Step-by-step explanation:

Graph the region:

desmos.com/calculator/iwvreqjz2m

The region is a trapezoid.  When we rotate it about x = 1, we get a hollow cylinder shape.  We can either use washer method or shell method to find the volume.

If we find the volume using washer method, we'll have to use two integrals, one for the triangular part of the trapezoid and one for rectangular part.  If we use shell method, we only need one integral.  So let's use shell method.

Cut a thin, vertical slice of the region.  The width of this slice is dx.  The height of the slice is y₂ − y₁ = x − 0 = x.  The radius of the shell is x − 1.

The volume of the shell is:

dV = 2π (x − 1) (x) dx

dV = 2π (x² − x) dx

The total volume is the sum of all the shells from x=5 to x=7.

V = ∫ dV

V = ∫₅⁷ 2π (x² − x) dx

V = 2π ∫₅⁷ (x² − x) dx

V = 2π (⅓ x³ − ½ x² + C) |₅⁷

V = 2π [(⅓ 7³ − ½ 7² + C) − (⅓ 5³ − ½ 5² + C)]

V = 2π [⅓ 7³ − ½ 7² − ⅓ 5³ + ½ 5²]

V = 2π [⅓ (7³ − 5³) + ½ (5² − 7²)]

V = 2π [⅓ (218) + ½ (-24)]

V = 2π (72⅔ − 12)

V = 121⅓ π

V ≈ 381.18

The volume is approximately 381.18 cubic units.

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3 years ago
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Arlecino [84]

#1
avatar+34237
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Temp in city for weeks 1-4 = Starting temp - (20 deg C / 4 wk) * wk#

Temp in City for weeks 1-4 = starting temp - 5 deg c/wk * wk#

This shows the temperature in the city for weeks 1 2 3 4 given the original temperature of the city and whichever week you want to know from the starting point....week 1 week 2 week 3 week 4 .....
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Write as a whole number 2.2 x 10 -8
leonid [27]
The answer is 14
2.2×10=22
22-8 is 14
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3 years ago
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