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quester [9]
4 years ago
9

Find local maximum minimum and saddle points f(x,y)=xy-2x-x^2

Mathematics
1 answer:
saveliy_v [14]4 years ago
3 0
To find such critical points, you have to differentiate the function and let the derivative equal zero. Since this function is y written in terms of x, but implicitly, you must use implicit differentiation. Do you know how to do that? 
You might be interested in
I need help with this. Can u plz show ur steps
evablogger [386]
74-17= 57 because if you subtract 10 from 74, it would be 64, then you need to subtract 7 from 64, which gives you 57.

9+7=16 because 10+7 would be 17, but since 9 is one less than 10, you need to subtract one from 17, which gives you 16.

17+(-30)=(-13) because adding 17 to -30 only brings up -30 to -13, and -30<-13.

-41+24=-17. Same reason as question 3, only different numbers.

-36+(-7)=-43 because adding two negatives together is like subtracting two positives from each other.

14+64=78 because adding 10 to 64 is 74 and 74+4=78.

-53-42=-95 because when you subtract a positive from a negative, it decreases the number even more.

-17-(-62)=45 because -62 is less than -17 and it is being subtracted from -17 so the answer becomes positive.

Hope this helps :)
6 0
4 years ago
How do you factorize p2 + 2p - 3 =0
julia-pushkina [17]

Answer:

Solution

p = {-3, 1}

Step-by-step explanation:

Simplifying

p2 + 2p + -3 = 0

Reorder the terms:

-3 + 2p + p2 = 0

Solving

-3 + 2p + p2 = 0

Solving for variable 'p'.

Factor a trinomial.

(-3 + -1p)(1 + -1p) = 0

Subproblem 1

Set the factor '(-3 + -1p)' equal to zero and attempt to solve:

Simplifying

-3 + -1p = 0

Solving

-3 + -1p = 0

Move all terms containing p to the left, all other terms to the right.

Add '3' to each side of the equation.

-3 + 3 + -1p = 0 + 3

Combine like terms: -3 + 3 = 0

0 + -1p = 0 + 3

-1p = 0 + 3

Combine like terms: 0 + 3 = 3

-1p = 3

Divide each side by '-1'.

p = -3

Simplifying

p = -3

Subproblem 2

Set the factor '(1 + -1p)' equal to zero and attempt to solve:

Simplifying

1 + -1p = 0

Solving

1 + -1p = 0

Move all terms containing p to the left, all other terms to the right.

Add '-1' to each side of the equation.

1 + -1 + -1p = 0 + -1

Combine like terms: 1 + -1 = 0

0 + -1p = 0 + -1

-1p = 0 + -1

Combine like terms: 0 + -1 = -1

-1p = -1

Divide each side by '-1'.

p = 1

Simplifying

p = 1

Solution

p = {-3, 1}

4 0
4 years ago
Adrian is a songwriter who collects royalties on his songs whenever they are played in a commercial or movie. Adrian will earn $
gayaneshka [121]

Answer:

Adrian's songs played on 9 commercials and 5 movies.

Step-by-step explanation:

Let x denotes number of commercials and y denotes number of movies.

Total number of commercials and movies = 14

So,

x+y=14\\x=14-y\,\,\,\,...(i)

Adrian will earn $40 every time one of his songs is played in a commercial and he will earn $130 every time one of his songs is played in a movie

Total amount earned = $1010

40x+130y=1010\,\,\,...(ii)

Put x=14-y in (ii)

40(14-y)+130y=1010\\560-40y+130y=1010\\90y=1010-560\\90y=450\\y=\frac{450}{90}=5

Put y=5 in x=14-y

x=14-5=9

Therefore, Adrian's songs played on 9 commercials and 5 movies.

7 0
3 years ago
1. Why is 9.6 Rational
alina1380 [7]
1- square root is not a whole number
7 0
3 years ago
What the answer of -2(z+3)-z=-z-4(z+2)​
VARVARA [1.3K]

Answer:

z= -1

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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