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german
3 years ago
12

5. A pathway of uniform width is going to be built on two adjacent sides of a

Mathematics
1 answer:
Illusion [34]3 years ago
6 0

Answer:

Step-by-step explanation:832

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Evaluate the line integral, where c is the given curve. c y3 ds,
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Parameterizing \mathcal C by

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with 0\le t\le2, we have

\mathrm ds=\|\mathbf r'(t)\|\,\mathrm dt=\sqrt{(3t^2)^2+1^2}\,\mathrm dt=\sqrt{9t^4+1}\,\mathrm dt

So

\displaystyle\int_{\mathcal C}y^3\,\mathrm ds=\int_{t=0}^{t=2}t^3\sqrt{9t^4+1}\,\mathrm dt
=\displaystyle\frac1{36}\int_0^236t^3\sqrt{9t^4+1}\,\mathrm dt
=\displaystyle\frac1{36}\int_{u=1}^{u=145}\sqrt u\,\mathrm du
=\dfrac{145^{3/2}-1}{54}
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3 years ago
Assume a gasoline price of $3.55 per gallon. What is the gasoline cost for a 2000 mile trip if you drive at an average speed of
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The driving time at 54 miles per hour is 37.04 hours.

Step-by-step explanation:

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3 years ago
Translate the product of a number and 4 increased by 1 is -3 into a equation
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4x + 1 = -3

"The product" is the term used to describe the answer of a multiplication equation.
"increased by" means you're adding.
"a number" refers to a variable.
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3 years ago
An art gallery is a 6 story square pyramid with base are 1/2 acre ( 1 acre =n4840 yd, 1 story = 10ft) . Estimate the volume in c
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An art gallery is a 6-story square pyramid with base area of half an acre. Estimate the volume in cubic yards of the art gallery. In your calculations, use 1 acre = 4840 yd2 and 1 story = 10 ft.
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Estimate 5,403 divided by 94​
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60

Step-by-step explanation:

7 0
3 years ago
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