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pentagon [3]
3 years ago
10

Find y'(

bsmiddle" class="latex-formula">) where y = y(x) is an implicit function of x given by 2x^{3}+(x^{3}-3)·sin(2πy)−3y = 0.
Mathematics
1 answer:
Bingel [31]3 years ago
8 0

Given

2x³ + (x³ - 3) sin(2πy) - 3y = 0

we first notice that when x = ³√3, we get

2 (³√3)³ + ((³√3)³ - 3) sin(2πy) - 3y = 0

2•3 + (3 - 3) sin(2πy) - 3y = 0

6 - 3y = 0

3y = 6

y = 2

Differentiating both sides with respect to x gives

6x² + 3x³ sin(2πy) + 2π (x³ - 3) cos(2πy) y' - 3y' = 0

Then when x = ³√3, we find

6(³√3)² + 3(³√3)³ sin(2π•2) + 2π ((³√3)³ - 3) cos(2π•2) y' - 3y' = 0

6•³√9 + 3•3 sin(4π) + 2π (3- 3) cos(4π) y' - 3y' = 0

6•³√9 + 0 + 0 - 3y' = 0

3y' = 6•³√9

y' = 2•³√9

(that is, 2 times the cube root of 9)

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Alexxx [7]

Answer:

The correct answer is

y=x+4

Explanation:

We are given the points:

(0, 4)

(1, 5)

(2, 6)

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We can see that for each unit that x-coordinate grows, the y-coordinate also grows one.

This means that the slope of the line is m = 1

The first point given, tell us the y-intercept: (0, 4)

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For the points given:

m = 1

b = 4

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1 year ago
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20

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4 0
3 years ago
Which is an equivalent form of the following equation? A=bh/2
Afina-wow [57]
Good question

It seems that it needs to solve for "h"

Right....


<span>A=bh/2      *2
2A = bh      </span>÷b
2A/b = h

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How many different groups of students can show up for a seminar with an enrollment of <br> 17?
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<span>2^15 = 32,768    hope thats right</span>
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In the figure, AOB II (parallels) CD, find the values of x and y.
Advocard [28]

Answer:

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Step-by-step explanation:

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-------------------------------

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4 years ago
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