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Nikolay [14]
3 years ago
9

Find dy/dx (derivative) using Implicit Differentiation: xe^y=x-y

Mathematics
1 answer:
miss Akunina [59]3 years ago
6 0
D (xe^y)/dx = d(x - y)dx
(e^y)dx/dx + xd(e^y)/dx = 1 - y'
e^y + xy'e^y = 1 - y'
(1 + xe^y)y' = 1 - e^y
y' = (1 - e^y)/(1 + xe^y)
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A circular pool with a 10 foot diameter is surrounded by a deck. What is the area of the deck which surrounds the pool? use 3.14
zavuch27 [327]

Answer:

146.5 sq. feet.

Step-by-step explanation:

Area of the deck = Large Square (with 15 ft side) - Circular Pool (with radius 10/2=5)

Large Square area = s^2=(15)^2=225

Circular Pool area = \pi r^2=\pi (5)^2=\pi (25)\\=25(3.14)\\=78.5

Thus, area of deck surrounding pool = 225-78.5=146.5 sq. feet

7 0
4 years ago
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A lake was closed because of an accidental pesticide spill. The concentration of the pesticide after the spill was 848 parts per
DochEvi [55]

Answer:

Step-by-step explanation:

a_{n}=a_{1}r^{n-1}\\0=848(0.75)^{n-1}\\or~(0.75)^{n-1}=0\\0.75

or~n \rightarrow 1+\infty\\or~n \rightarrow \infty

Hence lake will never be free of pesticide.

5 0
3 years ago
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Joe is placing tile in a small rectangular room. The room measures 8 feet by 5.5 feet. If one square foot tiles are sold in pack
Anit [1.1K]

Answer:

4

Step-by-step explanation:

The area, a of the room is 8* 5.5

a = 44 sqaure feet

one square foot of tiles are sold in packages of 12

To get the number of packages needed, simply divide the area of the room by 12

This gives:

44/12 = 4

= 3.67   round up to the nearest whole number

= 4

6 0
4 years ago
C.) 0,6 :3\5 = 4\9: ×<br>​
Natalka [10]

Answer:

There is no question. Please provide a question.

7 0
3 years ago
A set has 62 proper subsets how many elements has it for?<br>​
MrRissso [65]

Answer:

6

Step-by-step explanation:

Total number of subsets is given as

{2}^{n}

But the subset of a set consists of the proper subsets, an empty set and the set itself.

Total number of subsets are 64

Therefore,

{2}^{n}  = 64

{2}^{n}  =  {2}^{6}

Comparing both sides

n = 6

5 0
3 years ago
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