Mathematics College

"Find all the second partial derivatives
f(x,y)= sin^(2) (mx+ny)"

Answers

Answer 1

Therefore , the solution to the given problem of derivative comes out to be 2cos(mx+ny) for both the cases of partial derivative.

Define derivative.

The definition of a derivative is the simultaneous change that occurs at a certain place. Implicit & explicit functions are typically distinguished from one another. Explicit functions are those where the value of the known individual entity "x" directly determines the value of the known dependent variable "y."

Here,

Given : f(x,y)= sin^(2) (mx+ny)"

Partial derivative with respect to x

=> dx/dy = 2sin (mx+ ny) *m

=> d²x/dy = 2cos(mx+ny)

Partial derivative with respect to y

=>  dx/dy = 2sin (mx+ ny) *n

=> d²x/dy = 2cos(mx+ny)

Therefore , the solution to the given problem of derivative comes out to be 2cos(mx+ny) for both the cases of partial derivative.

To know more about derivative , visit

https://brainly.com/question/25324584

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Related Questions

Which statement below is represented by the correct ratio? Choose all that apply.
"For every 4 boys in Mr. Washington's class, there are 3 girls." The ratio of boys to girls is 3:4.
"For every 10 minutes of reading, I can finish 15 pages of my book." The ratio of minutes reading to finished pages is 2.3.
"For every 50 shoppers at the grocery store, 25 watermelons are sold." The ratio of shoppers to watermelons sold is 1:2.
For every 7 tomato plants planted, 36 tomatoes will grow. The ratio of plants to tomatoes is 7:36.

Answers

Answer:

Step-by-step explanation:

Its basic all you do is multiply 4 x 3 and you get 12 ywwww!!!!!!!!!

70 points! Mhanifa please help I don’t want to get this wrong :( thanks! Random answers will be reported !!

Answers

Answer:

Congruent pairs of triangles:

ΔABD ≅ ΔDCB

AB≅CD - given∠ABD ≅ ∠CDB - givenBD≅DB - common sideSAS - two sides and the included angle

ΔABD ≅ ΔEFD - SAS

AB≅EF - given∠ABD ≅ ∠EFD - given∠ADB ≅ ∠EDF - vertical anglesAAS - two angles and non-included side

By using the above two we can state that:

ΔBDC ≅ ΔDFE - by ASA or SSS

because

BD ≅ DF (corresponding parts)  AD ≅ BC  (corresponding parts) AD ≅ ED  (corresponding parts) and  therefore BC ≅ ED

We can't prove that:

ΔAGD is congruent with any of the others as not enough information

There is one side and one angle and we can' t get two angles or two sides with included angle. Maximum we can get is SSA which doesn't guarantee the congruence.

The total points scored in the games of an NBA playoff series: 195 177 215 200 189 232 201 199 192 201

Answers

Step-by-step explanation:

something is missing. maybe mean, median

dinner out at nice restaurant cost $45 plus a 20% tip what was the total cost of dinner ​

Answers

Answer:

$54 because the tip would be $9 so just add 45 and 9

Answer:

$54

Step-by-step explanation:

Since we are adding a 20% tip to the original cost of 45, the equation is

45+(0.2)(45),

since we want to add 20% of 45 to the original 45.

Solving that gives us 54.

NEED THE ANSWER ASAP

Answers

the answer is B cuz addition and the corresponding prices and variables

Answer:

D. 4.15c + .94s

Step-by-step explanation:

4.15 is how much the cashews cost per pound, this multiplied by c would be the full cost of however many pounds of cashews are being purchased.

.94 is how much the sugar costs per pound, this multiplied by s would be the full cost of however many pounds of sugar is being purchased.

to get the full cost of both, you add these equations together (4.15c + .94s)

Help plzzzzzzzzzz will mark brainilest

Answers

Answer:

Group B has the higher median by 0.5 inches. The IQR for Group A is smaller. IQR for Group B is 2 inches.



In addition to the information given in the drawing, which statement would be sufficient to prove

that STW-XYZ?

Number 5

Answers

Answer:

[tex]SW= 15[/tex] and [tex]TW= 24[/tex]

Step-by-step explanation:

Given

See attachment for the triangles

Required

Which additional statement proves the similarity of both triangles

From the attachment:

[tex]ST = 27\\XY = 9\\YZ = 8\\XZ = 5[/tex]  

The similar sides of both triangles are: ST and XY

So:

[tex]Ratio = ST : XY[/tex]

[tex]Ratio = 27 : 9[/tex]

Divide by 9

[tex]Ratio = 3 : 1[/tex]

Another similar sides are: TW and YZ

So:

[tex]TW : YZ = TW : 8[/tex]

Equate both ratios:

[tex]TW : 8 = 3 : 1[/tex]

Represent as fraction

[tex]\frac{TW }{ 8 }= \frac{3 }{ 1}[/tex]

[tex]\frac{TW }{ 8 }= 3[/tex]

Multiply both sides by 8

[tex]8 * \frac{TW }{ 8 }= 3*8[/tex]

[tex]TW= 3*8[/tex]

[tex]TW= 24[/tex]

Another similar sides are: SW and XZ

So:

[tex]SW:XZ = SW:5[/tex]

Equate both ratios:

[tex]SW:5 = 3:1[/tex]

Represent as fraction

[tex]\frac{SW}{5} = \frac{3}{1}[/tex]

[tex]\frac{SW}{5} = 3[/tex]

Multiply both sides by 5

[tex]5*\frac{SW}{5} = 3*5[/tex]

[tex]SW = 3*5[/tex]

[tex]SW = 15[/tex]

So, the statement that proves the similarity of the triangles is:

[tex]SW= 15[/tex] and [tex]TW= 24[/tex]

find the 8th term of the geometric sequence 3,9,27

Answers

Answer:

6,561

Step-by-step explanation:

multiply 3 by the last number, like 3*3 is 9 then 9*3 is 27*3 is 81 then 81*3 243 and so until it reaches 8 time

Find the vertex of this quadratic

Answers

Answer:

The vertex is (2,0)

A bag contains 5 apples and 3 oranges. If you select 2 pieces of fruit without looking, how many ways can you get 2 apples?

Answers

Answer:

you can feel a stem

Step-by-step explanation:

im sorry i dont know

7283
+3124
----------​

Answers

Answer:

10407

Step-by-step explanation:

Help anyone? Need it now.


Giving brainliest

Correct answer

Answers

Answer:

I think it is true

Step-by-step explanation:

If it is a loan

t must represent the loan meaning

t = 30

(i know it makes no sense it's how i thought hope this helped)

Answer:

True

Step-by-step explanation:

I think true because in an equation, t would represent the loan like it is in the picture.  

hope this helps!!!!!!

Please please give answer

Answers

Answer:

40 square cm

Step-by-step explanation:

2(l + b) = 28

(l + 4) = 28/2

l + 4 = 14

l = 14 - 4

l = 10 cm

Area = lb = 10*4 = 40 square cm

help 8th grade adv math

Answers

Answer:

6, -6

Step-by-step explanation:

The 2nd roots of 36 are 6 and -6 since

6^2 = 36

and

(-6)^2 = 36

Find the value of x in the triangle shown below.
5
12
Choose 1 answer:
x = 60
= V119
= 13
= 17

Answers

X will be equal to 13

The scale of a map is 1 cm : 21 km. Find the actual distance corresponding to the map distance.
The distance on the map is 2.5 cm.

Answers

Answer:

52.5

Step-by-step explanation:

2.5 x 21 = 52.5

Please help with this math question

Answers


Domain: {-3}
Range: {8, 7, 6, 5}
This is not a function.

What Reasoning could you use to prove the two triangles shown below are congruent?

AAS
SAS
ASA

SSS

Answers

I KNOW ITS SAS....................

you need to use SAS

Step-by-step explanation:

so first you write PQ=QR

PQS=SQR

PS=SR

Select the statement that correctly describes the solution to this system of equations.

X+3y=5
Y=4x-7


A. There is no solution
B. There are infinitely many solutions.
C. There is exactly one solution at (2,1).
D. There is exactly one solution at (4,2).


Which 1?

Answers

x+3(4x-7)=5
x+12x-21=5
13x-21=5
13x=26
x=2

y=4x-7
y=4(2)-7
y=8-7
y=1

ANSWER: C. solution at (2,1)

Answer:

C

Step-by-step explanation:

if you substitute in for x and y it works

What geometric term describes PQ and RS

Answers

Answer:

perpendicular lines

Step-by-step explanation:

Two lines in a plane are said to be perpendicular if they intersect in such a way that the angles formed between them are right angles. In the adjoining e, lines PQ and RS intersect at 0 such that ∠ROQ = ∠ ROP = ∠POS = ∠QOS = 90°. Therefore, we say that PQ is perpendicular to RS

Mr. king used 16 gallons of gas in 6 days. Circle any of the following that describes the average amount of gas Mr. King used per day? (Sorry forgot options, also my math teacher gave me a hint about 3 answers)

Answers

16 divided by 6 will give you the average

2.66666 rounded to 2.67 or 2.7

Ten more than four times a number is equal to the difference between 73 and three times the number. Find the number.

Answers

Answer:

let x be the number then,

according to question ,

10+4x=73-3x

or, 4x+3x=73-10

or, 7x= 63

or, x= 63÷7

or,x=9 ans

hence , the number is 9

The product of the areas of two rectangular rugs is 140. If each of the dimensions is a prime number, what are the four dimensions?

A. 2,4,5,7
B. 2,2,5,7
C. 2,2,5,5
D. 2,5,7,7

Answers

D..............I think am sorry if am wrong

Answer:

The correct answer is B. 2,2,5,7

Step-by-step explanation:

To answer this just multiply them in the order you see them in so 2*2=4 4*5=20 *7=140

help me solve this please

Answers

Answer:

the answer is 0.7692

Step-by-step explanation:

Please help, this is due soon

Answers

Answer:

A!

Step-by-step explanation:

All of the numbers line up in skip counting. (by 3)

Hope this helps! Mark me as brainliest if it does :)

The answer is “A” because you multiply x by 3 and get y.

0.51 x 40 = (0.5 + 0.01) x 40 =

Answers

Answer:

hello! :) have a good day!

20.4

Estimate the sum using rounding numbers 67.07+4.86

Answers

Answer:

I estimated the answer would be 72 (actual answer: 71.93)

Step-by-step explanation:

67.07 rounded to the nearest whole number is 67

4.86 rounded to the nearest whole number is 5

67 + 5 = 72

hope this helped!

−2.2⋅(−2)÷(−
4
1
​
)⋅5

Answers

Step-by-step explanation:

la respuesta no es correcta porque es falsa

A store sells hardcover books for $8 and paperback books for $5. You buy 9 books, represented by the equation x+y=9, where x is the number of hardcover books and y is the number of paperback books. The equation 8x+5y=51 represents the total cost. How many of each type of book did you buy?

Answers

Answer:

Step-by-step explanation:

x+y = 9

y = 9-x

8x + 5y = 51

8x + 5(9-x) = 51

8x + 45 - 5x = 51

3x = 6

x = 2

y = 9-x = 7

Two hardcover books and seven paperback books.

hello hello I need help asap ​

Answers

13/4 and 3 1/4
Hope this helps

Answer:

im not smart

Step-by-step explanation:

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