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lawyer [7]
3 years ago
13

Use logarithmic differentiation to find dy/dx

Mathematics
1 answer:
Agata [3.3K]3 years ago
3 0

Answer:

Hello,

Step-by-step explanation:

Let's say:

y=x^{cotg(x)}\\\\ln(y)=cotg(x)*ln(x)\\\\\\\dfrac{y'}{y}=\dfrac{-1}{sin^2(x)}  *ln(x)+\dfrac{cotg(x)}{x} \\\\\\y'=-\dfrac{x^{cotg(x)}*ln(x)}{sin^2(x)} +cotg(x)*x^{cotg(x)-1}\\

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Marta has $10 more than twice as much money as Heidi has. Together they have $36. How many money does each girl how. how does He
professor190 [17]

x=heidi

x + (2x+10)=36

3x +10=36

3x -10  -10

3x=26

x=8.6 heidi has 8.6

marta has 27.3

5 0
3 years ago
1. 237 + 496 =<br> 1. 600 - 321 =<br> 7. 993 - 294 =
Aleonysh [2.5K]

Answer:

237+496= 733

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3 years ago
Jean can pack 5 cartons in 15 minutes. Which expression can be used to show the number of cartons Jean can pack in x hours? Grou
nadezda [96]

Answer: 20x

Step-by-step explanation:

First we should note that 60 minutes = 1 hour. Therefore, 15 minutes = 15/60 = 1/4 hour

Since Jean can pack 5 cartons in 1/4 hours, the number of carton that he can pack in one hour will be:

= 5 ÷ 1/4

= 5 × 4

= 20 cartons.

Therefore, to get the number of cartons that Jean can pack in x hours, we will multiply 20 by x. This will be:

= 20 × x

= 20x

6 0
2 years ago
Which graph represents the solution set of the system of inequalities?
Novay_Z [31]
Answer:
(see image)
bottom right image

Explanation:
First try the origin (0,0) to rule out two of the graphs. 
3y ≥ x - 9 
3(0) ≥ (0) - 9 
3 ≥ - 9  yes 
3x + y > - 3 
3(0) + (0) > - 3
3 > - 3 yes 
so the origin should be in the shaded area of the graph, which rules out the top right and bottom left graphs. 
Now try a coordinate that is in the shaded area of one of the remaining graphs, but not in the other one. If it works, the graph is the one that has that point in the shaded region, and vice versa. 
Try point (4, 2)
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6 ≥  - 5 yes
3x + y > - 3 
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12 + 2 > - 3
14 > - 3 yes
So the graph is the bottom right one since (4, 2) is included in that shaded region.

4 0
3 years ago
Point P is called the center of
sweet-ann [11.9K]

Answer:

Point P is the center of Rotation.

7 0
2 years ago
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