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2 years ago

Find the maximum rate of change of f(x,y) = x2y +2y

Mathematics

1 answer:

nevsk [136]2 years ago

4 0

Answer:

Maximum rate of change at the point (-1,2) = √17

Direction is the direction of the gradient

Step-by-step explanation:

The gradient of a function (scalar or vectorial ) is a vector in the direction of maximum rate of change then

f( x,y ) = x*2y + 2y

grad = δ/δx i + δ/δy j + δ/δz k

grad f(x,y) = [ δ/δx i , δ/δy] = [ 2y , x+2 ]

at the point ( -1 , 2 )

grad f(x,y) = [4 , 1]

| grad f(x,y) | = √ (4)² + (1)² = √17

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Jessie had a piece of cardboard that is 8.5 inches by 11 inches. She makes a picture frame with the cardboard box by cutting out

velikii [3]

I could be very wrong, but I believe the answer is C

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2 years ago

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Simplify this expression. 20.25 – 9 + 11 о 1 4 0 18.75 0 21? 0 40.75

Greeley [361]

Answer:

$21\frac{3}{4}$

Step-by-step explanation:

Step 1: Add the numbers.

20.25 can also be expressed as $20\frac{1}{4}$ , because $\frac{2025}{100}$ = $\frac{81}{4}$ = $20\frac{1}{4}$ . So if we add $20\frac{1}{4}$ and 11, we would get $31\frac{1}{4}$

Step 2: Solve

$31\frac{1}{4} -9\frac{1}{2}$

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Combine the fractions

This means addition. Also, since our denominators are not the same value, we have to find the LCM (Least Common Denominator): What do 2 and 4 have in common that they can divide themselves by? 4. We know this because 2 divided by 4 is 2, and 4 divided by 4 is 1, so they can both divide themselves by 4.

$\frac{5}{4}-\frac{1}{2}$

LCM

$\frac{5}{4}-\frac{2}{4} =\frac{3}{4}$

Therefore, the simplified expression to this is $21\frac{3}{4}$ .

Learn more: brainly.com/question/403991

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2 years ago

Approximately how many centiliters are in 3 quarts? Round answer to the nearest unit.

Marrrta [24]

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3 years ago

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Let the universal set be the set of integers and let A = {x | x^2 ≤ 5}. Write A using the roster method.

Zarrin [17]

Answer:

Step-by-step explanation:

Given that Z the set of integers is the universal set and

A is given in set builder form.

$A = {x | x^2 ≤ 5}$

To convert this into roster form, we can find solutions for x

When $x^2\leq 5\\|x|\leq \sqrt{5} =2.236$

i.e. all integers lying between -2.236 and 2.236

The only integers satisfying this conditions are

-2,-1,0,1,2

Hence A in roster form is

A= ${-2,-1,0,1,2}$

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3 years ago

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MAXImum [283]

The answer is Letter C - 1/2,775

The probability of choosing one of them is 2 out of 75 while the probability of choosing the other one is 1 out of 74. 74 band members, not counting the other person (you or your bother).

Computation:
P = 2 / 75 * 1 / 74
= 0.0266... * 0.01351...
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You can also multiply 75 with 74 to get a total of 5,550 then divide it by 2 students to be selected to get 2,775. Meaning one out of 2,775 possibilities.

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2 years ago