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Sidana [21]
3 years ago
11

The histogram below shows the estimated monthly salaries of company employees with different  years of experience. 

Mathematics
1 answer:
docker41 [41]3 years ago
8 0
The correct answer is A. The scale on the y-axis overemphasizes the difference in salaries between different experience levels.
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Reparametrize the curve with respect to arc length measured from the point where t = 0 in the direction of increasing t. (Enter
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Answer:

The curve is given by r(s)=3\frac{s}{\sqrt{29}}  i + (7 - 4\frac{s}{\sqrt{29}} ) j + (3 + 2\frac{s}{\sqrt{29}} ) k

Step-by-step explanation:

The aec length of the curve is given by:

L=\int\limits^t_0 {|r'(t)|} \, dt

r(t) = 3t i + (7 − 4t) j + (3 + 2t) k

r'(t)= 3 i -4 j + 2 k

|r'(t)|= \sqrt{3^2+(-4)^2+2^2} =\sqrt{9+16+4} =\sqrt{29}

L=\int\limits^t_0 {\sqrt{29}} \, dt=\sqrt{29}\int\limits^t_0 \, dt

L=\sqrt{29}t|^t_0=\sqrt{29}t-\sqrt{29}0=\sqrt{29}t

s(t)=\sqrt{29}t

We have to obtain t in terms of s, hence:

t=\frac{s}{\sqrt{29}}

Finally,

r(s)=3\frac{s}{\sqrt{29}}  i + (7 - 4\frac{s}{\sqrt{29}} ) j + (3 + 2\frac{s}{\sqrt{29}} ) k

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