How do you do this question?

Mathematics

1 answer:

velikii [3]3 years ago

3 0

Answer:

∫₂³ √(1 + 64y²) dy

Step-by-step explanation:

∫ₐᵇ f(y) dy is an integral with respect to y, so the limits of integration are going to be the y coordinates. a = 2 and b = 3.

Arc length ds is:

ds = √(1 + (dy/dx)²) dx

ds = √(1 + (dx/dy)²) dy

Since we want the integral to be in terms of dy, we need to use the second one.

ds = √(1 + (8y)²) dy

ds = √(1 + 64y²) dy

Therefore, the arc length is:

∫₂³ √(1 + 64y²) dy

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Given that cos 160= -q, express each of the following in terms of q:

GenaCL600 [577]

Hello,

cos 160°=-q

cos 20°=-cos 160°=q

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3 years ago

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The frequency table was made using a box containing slips of paper. Each slip of paper was numbered 0, 1, 2, 3, or 4.

inna [77]

In order to make a frequency plot first we need to find the proportion of each outcome.

Total number of results = 15+20+5+5+5 = 50

Frequency of 0 = 15
Proportion of 0 = 15/50 = 0.3

Frequency of 1 = 20
Proportion of 0 = 20/50 = 0.4

Frequency of 2 = 5
Proportion of 2 = 5/50 = 0.1

Frequency of 3 = 5
Proportion of 3 = 5/50 = 0.1

Frequency of 4 = 5
Proportion of 4 = 5/50 = 0.1

Now we need to plot the data on a frequency plot. The x-axis shows the outcomes from 0 to 4 and y-axis shows the frequency of each outcomes. The frequency plot is shown in the figure attached with.