Im stuck on finding G im wondering if someone can help me

Answer:

Absolute maximum at (3,0)

Absolute minimum at (1,1)

Step-by-step explanation:

Given - f(x, y) = x⁴ + y⁴ − 4xy + 2, D = {(x, y) | 0 ≤ x ≤ 3, 0 ≤ y ≤ 2}

To find - Find the absolute maximum and minimum values of f on the set D.

Proof -

Given that, f(x, y) = x⁴ + y⁴ − 4xy + 2

Now,

Differentiate f(x,y) with respect to x and y , we get

[tex]f_{x}(x,y)[/tex] = 4x³ - 4y

[tex]f_{y}(x,y)[/tex] = 4y³ - 4x

Now,

For the critical point, put [tex]f_{x}(x,y)[/tex] , [tex]f_{y}(x,y)[/tex]  = 0

we get

4x³ - 4x = 0

⇒x = 0, -1, 1

but given the range of x is 0 ≤x ≤ 3

⇒x = 0, 1

⇒y = 0, 1

∴ we get

2 critical points (x,y) = (0,0) , (1,1)

Now,

Put the values of x and y in f(x,y), we get

f(0,0) = 0 + 0 - 0 + 2 = 2

f(1,1) = 1 + 1 - 4 + 2 = 0

Now,

for the max and min values, finding the critical value is not enought, we have to find the values in the domain also.

Given domain is 0 ≤ x ≤ 3, 0 ≤ y ≤ 2

So, we have to check the values at the rectangle that have the coordinates

(0,0), (0,2), (3,2), (3,0)

Now,

f(0,0) = 0 + 0 - 0 + 2 = 2

f(0,2) = 0 + 16 - 0 + 2 = 18

f(3,2) = 81 + 16 - 24 + 2 = 75

f(3,0) = 81 + 0 - 0 + 2 = 83

∴ we get

Absolute maximum at (3,0)

Absolute minimum at (1,1)

Answer:

answer is 1

Step-by-step explanation:

bcs 119 ÷ 60 is 1 remainder is 59 1.59 :)))

Answer:

I kind of need the models to help with this one

Answer:

formula for the area A of a circle in terms of its radius r:

    A = πr2

It is important to remember that both r, and hence, A are functions of time, t.  Take the derivative of both sides with respect to t and obtain

    dA/dt = 2πr(dr/dt)

Note that we are using implicit differentiation here, since A and r are (implicit) functions of t.  Now we can find the required answers.

r = 5 inches.

Substitute r = 5 and dr/dt = 3 to get

    dA/dt = 2π5·3 = 30π ≅ 95.25

(the units are in2/min.)

r = 22 inches

    dA/dt = 2π22·3 = 132π ≅ 414.69

Hope that helps.

Answer:

4.35 miles if rounded 4.5 miles

Step-by-step explanation:

7 divided by 1.609 sums up to 4.35052

Answer:

1.6 laps

Step-by-step explanation:

Simply divide 3 over 1.8 to get the number of laps.

Answer:

The answer is: 26

Step-by-step explanation:

How i got this answer is i used a method called P.E.M.D.A.S ( parenthesis, exponents, multiplication, division, addition, subtraction). So i first did what was in the parenthesis (75 / 3= 25). Next I did division ( 25 / 5=5). Lastly, I did Subtraction ( 31-5 = 26) and so your left off with the answer 26.

~I really hope this explanation helped, have a gr8 day/night my friend!~

Answer:

I got 26 hope this helps

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Answer:

Step-by-step explanation:

D I did this before

Answer:

Quarterly interest rate= 0.8974%

Step-by-step explanation:

Giving the following formula:

Initial investment (PV)= $3,500

Future Value (FV)= $6,200

Number of periods (n)= 16*4= 64 quarters

It is almost impossible to calculate the interest rate using a formula. To determine the interest rate, we need to use a financial calculator:

Function: CMPD

n= 64

I%= SOLVE= 0.8974

PV= 3,500

FV= -6,200

Quarterly interest rate= 0.8974%

Answer:

3.6%

Step-by-step explanation:

Answer:

X=2

Step-by-step explanation:

4/6=x/x+1

cross multiply

6x=4(x+1)

6x=4x+4

2x=4

x=2

Answer:

20%

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

65.60/82.00

Answer:

a) isosceles triangle / acute triangle

b) right angled triangle

c) isosceles triangle / acute triangle

d) right angled triangle

e) isosceles triangle / acute triangle

f) equilateral triangle

g) equilateral triangle

h) obtuse triangle

hope this answer helps you.....

Answer:

I'm pretty sure it's D

Step-by-step explanation:

Answer:D is the answer

Answer:

-16tv

Step-by-step explanation:

3-5=-2tv*8=-16tv

The answer is :25t-40v

Explanation: Your disrupting 8 to 3 and 5.

9514 1404 393

Answer:

  88.9

Step-by-step explanation:

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(77°) = 20/x

  x = 20/cos(77°)

  x ≈ 88.9

Answer:

B the error can be reproduced

Answer:

the last one Denise,   is the only one that is true

Step-by-step explanation:

Answer:

last one

Step-by-step explanation:

Answer:

Step-by-step explanation:

4x + 7y - 3x - y

Move like terms next to each other.

4x - 3x + 7y - y

Subtract them

4x-3x= 1x or x

7y-y = 6y

So we have:

x + 6y

Answer:

121

Step-by-step explanation:

3% of 100 = 3

18% of 100 = 18

100+3+18=121

Answer:

Step-by-step explanation:

The complete question in the attached figure

we know that

When two lines are crossed by another line (transversal), a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal, are called Alternate Interior Angles.

When the two lines being crossed are Parallel Lines the Alternate Interior Angles are congruent

In this problem

---> by alternate interior angles

we have

therefore

Answer:

9 burritos and 18 tacos

Step-by-step explanation:

We can start this problem by assigning a variable to our unknowns.

Let's name x the number of burritos he buys.

The question states he buys half as many burritos as tacos.

Therefore, the number of tacos he bought is 2x.

Let's set up an equation.

(Cost of burrito)(number of burritos)+(Cost of taco)(number of tacos)=Total Cost

2.19x+1.29(2x)=42.93

Simplify

2.19x+2.58x=42.93

4.77x=42.93

x=9

Michael bought 9 burritos.

2*9=18

Michael bought 18 tacos.

Answer:

[tex] \displaystyle 18[/tex]

Step-by-step explanation:

we are given that,

let the number of tacos and burritos be t and b respectively

according to the 3rd condition we get:

[tex] \displaystyle 1.29t + 2.19b = 42.93[/tex]

according to the 4th condition we obtain:

[tex] \displaystyle t = 2b[/tex]

therefore our system of linear equation is

[tex]\begin{cases}\displaystyle t=2b \\ \displaystyle 1.29t + 2.19b = 42.93\end{cases}[/tex]

so now we end up with a system of linear equation in order to solve the equation we can consider substitution method

so substitute the value of t which yields:

[tex] \displaystyle 1.29 \cdot 2b+ 2.19b = 42.93[/tex]

simplify multiplication:

[tex] \displaystyle 2.58b+ 2.19b = 42.93[/tex]

since we have same variable we can consider the like terms:

[tex] \displaystyle 4.77b = 42.93[/tex]

divide both sides by 4.77:

[tex] \displaystyle \frac{4.77b }{4.77}= \frac{ 42.93}{4.77}[/tex]

reduce fraction:

[tex] \displaystyle \bcancel{ \frac{4.77b }{4.77}}= \cancel \frac{ \stackrel{ \large9}{ 42.93}}{4.77}[/tex]

[tex] \displaystyle b = 9[/tex]

now substitute the value of b:

[tex] \displaystyle t = 2.9[/tex]

simplify multiplication:

[tex] \displaystyle t =18[/tex]

hence,

he bought 18 tacos

9514 1404 393

Answer:

 55 hours

Step-by-step explanation:

The number of hours will be ...

  ($1567.50) ÷ ($19/driveway) ÷ (6 driveways)/(4 h)

  = (1567.50×4)/(19×6) h = 55 h

Minnie needs to shovel driveways for 55 hours to hear enough for the new phone.

Answer:

about 55.275 hours. You may have to round it to the nearest tenth or whole number, whatever the question tells you to do, but this is the approximate answer. PLEASE VOTE BRAINLIEST!

Step-by-step explanation:

What we know:

6 driveways in 4 hours

$19 per driveway

needs $1,567.50

first, find amount of hours for one drive way by setting up a proportion.

6/4 =1/x

x= about 0.67 hours, or about 40.2 minutes.

now think: how many driveways does it take to make 1,567.50?

1,567.50/19= 82.5

This means it will take her 83 driveways to earn all of her money.

The final step is to multiply this by the amount of minutes, and then you will have your answer! 82.5*40.2= 3316.5

Divide by 60 to convert to hours.

Answer: 55.275

Answer:

Step-by-step explanation:

write your answer in improper fraction 282 should be written in front of 6 upon 7 this is your answer I hope it helps

Answer:

C

Step-by-step explanation:

Lets look at the rows, there are 3 rows going down and there are 8 rows going across. There are 2 rows out of the 3 fully colored in so we know our first fraction would be 2/3, that way we cross out A hence it doesn't have 2/3 written in the problem. Next we check how many are shaded in in the 2 rows which is 5 and there are 8 rows going across so our answer is 2/3 x 5/8 = 5/12

The multiplication sentence which does the model show is 3/8 * 5/8=15/64, the correct option is A.

A fraction represents a part of a number or any number of equal parts.

A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.

We are given that;

The block diagram

Now,

10 fully shaded boxes

8 partially shaded boxes= 5/3

3 empty boxes =3/8

Multiplying both the fractions

= 3/8 * 5/3

= 15/64

Therefore, by the fraction the answer will be 15/64.

Learn more about fraction;

https://brainly.com/question/729654?referrer=searchResults

#SPJ2

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

Let x represent the amount Jodi invested at 4%. Then x+4400 is the amount she invested at 2%. Her total interest is ...

  0.04x + 0.02(x +4400) = 592

  0.06x +88 = 592

  0.06x = 504

  x = 8400

  x +4400 = 12,800

Jodi invested $8,400 at 4% and $12,800 at 2%.