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Kaylis [27]
3 years ago
14

show that if k is a positive constant, then the area between the x-axis and one arch of the curve y=sin kx is 2/k

Mathematics
1 answer:
Levart [38]3 years ago
8 0
Sin(kx)=0=>x=0,π,...
∫0πsin(kx)dx=−1/kcos(kx)|π0=−1/k(cos(kπ)−cos(k∗0))
if k is odd then,=−1/k(−1−1)=−1/k(−2)=2/k
if k is even then,=−1/k(1−1)=0
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Sean and Greg share a 24-ounce bucket of clay. By the end of the week, Sean has used 3 8 of the bucket, and Greg has used 1 4 of
kozerog [31]

Answer:

9

Step-by-step explanation:

Sean and Greg share a 24-ounce bucket of clay

Sean uses 3/8 of the bucket

= 3/8 ×24

= 9 ounce

Greg uses 1/4 if the bucket

= 1/4 ×24

= 6 ounce

= 9+6

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Therefore the quantity left in the bucket can be calculated as follows

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4 0
3 years ago
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galben [10]

Answer:

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Step-by-step explanation:

12, 13, 13, 14, 21, 22, 23

Median: 14

Mean: 16.86

The mean reflects the best measure of the center

7 0
3 years ago
29. (09.04 MC)
lara [203]

Answer:

The center is located at (-1, -2), and the radius is 5.

Step-by-step explanation:

The general equation of a circle is given as

(x - a)^2 + (y - b)^2 = r^2

where

a and b are the centre of the circle and r is the radius

Given the equation

x2 + 2x + y2 + 4y = 20

add 1 ad 4 to both sides

x2 + 2x + 1 + y2 + 4y + 4 = 20 + 4 + 1

factorise

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comparing with the general equation

a = -1, b = -2, r = 5 (all measured in units)

7 0
2 years ago
Write an equation passes through the point (-1, -3) with a slope of -2.
mel-nik [20]
The answer to your problem is y=-2x-4

Explanation:The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you a point that a line passes through, and its slope, this page will show you how to find the equation of the line.
4 0
2 years ago
Read 2 more answers
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tamaranim1 [39]

Sorry don't follow what I just said I misread the question.

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3 years ago
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