The second partial derivatives of the function are:
∂²f/∂x² = -1/(x - y)²
∂²f/∂x∂y = ∂²f/∂y∂x = 1/(x - y)²
∂²f/∂y² = 1/(x - y)²
What are the second partial derivatives of the function f(x, y) = log(x - y)?To compute the second partial derivatives of the function f(x, y) = log(x - y), we'll differentiate the function twice with respect to each variable. Let's begin:
First, we differentiate f(x, y) = log(x - y) with respect to x:
∂f/∂x = 1/(x - y)
Now, we differentiate ∂f/∂x with respect to x:
∂²f/∂x² = -1/(x - y)²
Next, we differentiate f(x, y) = log(x - y) with respect to y:
∂f/∂y = -1/(x - y)
Now, we differentiate ∂f/∂y with respect to y:
∂²f/∂y² = 1/(x - y)²
Finally, we compute the mixed partial derivatives:
∂²f/∂x∂y = ∂²f/∂y∂x = 1/(x - y)²
Therefore, the second partial derivatives of the function f(x, y) = log(x - y) are:
∂²f/∂x² = -1/(x - y)²
∂²f/∂x∂y = ∂²f/∂y∂x = 1/(x - y)²
∂²f/∂y² = 1/(x - y)²
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Omar rented a truck for one day. There was a base fee of $15.99, and there was an additional charge of 74 cents for each mile driven. Omar had to pay
$166.95 when he returned the truck. For how many miles did he drive the truck?
[tex]15.99 + 0.74(m)[/tex]
[tex]15.99 + 0.74(m) = 166.95[/tex]
[tex]15.99 - 15.99 + 0.74(m) = 166.95 - 15.99[/tex]
[tex]0.74m = 150.96[/tex]
[tex] \frac{0.74m}{0.74} = \frac{150.96}{0.74} [/tex]
[tex]m = 204[/tex]
He drove 204 miles.
Which scenario could be represented by the value −8 ? Select each correct answer. A puppy gains 8 pounds. The temperature is 8 degrees below 0. The elevation of a hot air balloon is 8 meters. A student's class average decreases by 8 points.
plzz help ill give brainliest
Answer:
- The temperature is 8 degrees below 0
- A student's class average decreases by 8 points.
Answer:
The temp is 8 degrees below 0, a student's class average decreases by 8 points
Step-by-step explanation:
a puppy gaining 8 pounds is positive
the temp is 8 degrees below 0 which is negative
the elevation of a hot air balloon is 8 meters above the ground
A student's class average decreases by 8 points = negative
The value -8 is negative and it doesn't say you have to only select one answer
simplify - 5 1/4 - (- 7 1/2)
Answer:
Hey! Your answer is, 9/4
Step-by-step explanation:
Hope this hepls! :)
Have a nice day!♥
Brainliest?
Answer:
Exact Form:
91/20
Decimal Form:
4.55
Mixed Number Form:
4 11/20
Step-by-step explanation:
how can i solve this question?
Answer:
[tex] PQ=4\sqrt{2} \:cm=5.66 \: cm[/tex]
Area of square PQRS[tex] = 32\: cm^2 [/tex]
Step-by-step explanation:
ABCD is a square. Points P, Q, R and S are the midpoints of sides AB, BC, CD and DA of square ABCD respectively.
Therefore,
BP = 1/2 * AB = 1/2 *8 = 4 cm
BQ = 1/2 * BC = 1/2 *8 = 4 cm
In [tex] \triangle PBQ, \: m\angle PBQ =90\degree [/tex]
Therefore, by Pythagoras theorem:
[tex] PQ=\sqrt{4^2 +4^2} [/tex]
[tex] PQ=\sqrt{2*4^2} [/tex]
[tex] PQ=4\sqrt{2} \:cm=5.66 \: cm[/tex]
Area of square PQRS[tex] =PQ^2 [/tex]
Area of square PQRS[tex] =(4\sqrt{2}) ^2 [/tex]
Area of square PQRS[tex] = 32\: cm^2 [/tex]
The relationship between the postage rate and the weight of a letter can be defined by a piecewise function. The graph shows the 2018 postage rates for using regular service to mail a letter. Kiran and Mai wrote some rules to represent the postage function, but each of them made some errors
Kiran equation is incorrect because there are two rates when the weight is 1,2, and 3 ounces, also, the first symbol is incorrect; on the other hand, Mai is incorrect because the prices for 1, 2, and 3 ounces are not correctly expressed.
What is a function?A function is an expression that shows how two factors, in this case, rate and weight are related. These functions are usually created based on specific data and they should relate the data correctly.
What was Kiran's mistake?1. There are two rates for 1, 2, and 3 ounces: The use of symbols Kiran used to explain the rate for 1, 2, and 3 ounces is incorrect. Let's examine an example:
0.71 1 ≤ w ≤ 20.92 2 ≤ w ≤ 3It seems the rate for 2 pounds can be both 0.71 and 0.92 because in the first line if the weight is less or equal to 2, the rate is 0,71 and this also happens in the second line.
2. The first symbol he used is incorrect because it seems like there is a charge even if the weight is 0, which is impossible.
0.50 0 ≤ w ≤ 1 (The rate if the weight is less or equal to 0 is 0.50)What is Mai's mistake?1. Similarly to Kiran she did not express the rate and the pounds correctly. Let's look at one example:
0.71 1 < w < 2 (if the weight is less than 2 the rate is 0.71, which is incorrect because the rate is 0.71 if the weight is less or equal to 2)Note: This question is incomplete; here is the missing section:
Identify the error in each person's work:
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I really need help with this one or I fail
The circumference of a circle is 8.88cm. Find the length of the diameter. Give your answer rounded to 2 DP.
Answer:
2.82
Step-by-step explanation:
The formula for the circumference of a circle is given as:
π × D
Where D represents the Diameter of the circle.
From the question:
The circumference of a circle is 8.88cm.
The Length of the Diameter is calculated as:
8.88cm = π × D
D = 8.88 cm/π
D = 2.8265917893 cm
Approximately to 2 decimal places = 2.83cm
Therefore, the length of the diameter = 2.83 cm
pls answer the following questions i will give brainilest if u get them right
4 × 0.75=?
4 ÷ 0.65 = ?
2.8 × 1.42 = ?
2.75 ÷ 1.30 = ?
Answer:
1. 3
2. 6.15
3. 3.976
4. 2.11
Step-by-step explanation:
Hope this helped:)) Plz mark Brainliest :))
7.1 added to a number equals 10.3?
The answer is 3.2. If you subtract 10.3 and 7.1, then you get 3.2.
The formula V = s3 gives the volume V of a cube with side length s. The volume of a cube that has a side length of 7 inches
The volume of a cube with a side length of 7 inches is 343 cubic inches.
To find the volume of a cube with a side length of 7 inches, we can use the formula [tex]V = s^3[/tex], where V represents the volume and s represents the side length.
Substituting the given side length into the formula, we have:
[tex]V = 7^3[/tex]
To simplify the expression, we raise 7 to the power of 3, which means multiplying 7 by itself three times:
V = 7 * 7 * 7
V = 343 cubic inches
Therefore, the volume of a cube with a side length of 7 inches is 343 cubic inches.
The complete question is
The formula V = s3 gives the volume V of a cube with side length s. The volume of a cube that has a side length of 7 inches is equal to ____.
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9. found the answer.... Find the function rule.
y=4x+3
Write a rule for the linear function in the table.
I NEED HELP PLEASE!!!!!
A. f(x) = –4x – 3
B. f(x) = x + 3
C. f(x) = 1/4x + 3
D. f(x) = 4x + 3
Answer:
The answer is "Choice D"
Step-by-step explanation:
In this question, given equation "[tex]y=4x+3[/tex]" is similar the choice d, and its values matches the given table, that can be defined as follows:
choice:
[tex]\to f(x)=4x+3\\\\ when \ x=0\\\to f(0)=4\times 0+3=0+3=3 \\\\ when \ x=3\\\to f(3)=4\times 3+3=12+3=15 \\\\when \ x=6\\\to f(6)=4\times 6+3=24+3=27 \\\\when \ x=9\\\to f(9)=4\times 9+3=36+3=39 \\\\[/tex]
Through (-5,-3), slope = 1/5
Answer:
what you want
1/5x-5+-3=y
Step-by-step explanation:
Answer:
y=1/5x-2
Step-by-step explanation:
(y - y1) = m(x - x1)
y-(-3)=1/5(x-(-5))
y+3=1/5(x+5)
y+3=1/5x+1
y=1/5x+1-3
y=1/5x-2
Find the mode of the following data: 5, 0, 5, 4, 12, 2, 14
Answer:
5
Step-by-step explanation:
To solve the problem we must know about Mode.
What is the mode?Mode is the data point that repeats the most number of times in a given data set.
The mode of the data set is 5.
Given to us
Data set: {5, 0, 5, 4, 12, 2, 14}As in the given data points {5, 0, 5, 4, 12, 2, 14}, number 5 repeats twice, therefore, 5 is the mode of the given data set.
Hence, the mode of the data set is 5.
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PLS HELP WITH THIS ILL LOVE THEM FORWVWR
Answer:
I think opinion a. If it is wrong Iam sorry
A farmer has a total of 7745 corn plants. She wants to plant 40 corn plants in each row. She does the following work in long division: 193 R25 40) 7745 -40 374 - 360 145 -120 25 Which statement is correct?
Answer:
7745 -40374 is the correct statement
Which of the following options have the same value as 40%, percent of 84?
Please Answer ASAP
Answer:
40% of 84 is 33.6
Step-by-step explanation:
In an arithmetic sequence, a17 = -40 anda28 = -73. Explain how to use this information to write a recursive formula for this sequence.
Answer:
–73 – (–40) = –33.
Step-by-step explanation:
pls help! marking brainliest!!
Answer:
x = 52
Step-by-step explanation:
∡RQS = 180 - (90 + 34)
∡RQS = 56°
∡PQS + ∡RQS = 180°
∡PQS = x + 72
x + 72 + 56 = 180
x + 128 = 180
x = 52
New York City is approximately 205 miles from Washington, D.C. How far apart will these cities appear on a map with the scale 1 in: 50 miles?
Answer: 4.1 inches
Step-by-step explanation:
From the question, we are informed that New York City is approximately 205 miles from Washington, D.C.
The distance that these cities will appear on a map with the scale 1 in: 50 miles will be represented by x.
Therefore, x:205 = 1:50
Cross multiply
x/205 = 1/50
50x = 205
x = 205/50
x = 4.1 inches
The answer is 4.1 inches
If you eat 4 medium strawberries, you get 36% of your daily recommended amount of vitamin C.
What fraction of your daily amount of vitamin C do you still need? Enter your answer in simplest form
You still need
amount of the daily recommended amount of vitamin C.
Answer:
16/25
Step-by-step explanation:
The table gives the costs for organizing Field Day at a Middle School. Thirty-two students will attend the event.
Expense:
Total Cost ($):
Supplies
$272.64
Announcer
$168.84
Refreshments
$113.40
What is the cost per student for this event?
What is the cost per student for supplies only?
The sales tax in one state is 6%. Write a function rule for finding the total cost of an item with selling price x. Then find the total cost of a CD player with a selling price of $160.
f(x) = 0.06x; $9.60
f(x) = 6 + x; $161.06
f(x) = x – 6; $158.94
f(x) = 1.06x; $169.60
Answer: brainly.... D. f(x) = 1.06x; $169.60
sales tax = 6% or 6/100.
assuming tax is added onto the item:
total cost function f(x) = price + tax
however, assuming the cost price = sales price - tax, then:
f(x) = sales price - tax
This is not really a business or accounting forum, its a maths forum, so you need to be clearer about business or accounting terms such as total cost, selling price, selling cost.
Step-by-step explanation: brainly
if y= the item after tax
y=x+(x*6%) or y=x+6%
and then for the answer you would go:
y=160+6% or 160+(160*6%)= $169.60
Answer: f(x)=1.06x; $169.60
Step-by-step explanation: pearson
~!¡! Attributes !¡!~
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Question Help
in a race, 16 out of the 25 bicyclists finished in less than 30 minutes. What percent of bicyclists
finished the race in less than 30 minuten Write an equivalent fraction to find the percent
Answer:
[tex]\frac{16}{25}[/tex] x [tex]\frac{4}{4}[/tex] = [tex]\frac{64}{100}[/tex] = 64%
Step-by-step explanation:
9 x 3/9 is greater than less than or equal to 9?
Answer:
9 x 3/9 is less than 9
Step-by-step explanation:
Answer:
No because when multiplyin a fraction your outcome is less than the orginal
number most likely
Step -by-step explanation:
Help would be appreciated thanks .
Answer:
my answer was wrong and cannot help
Which expression has a value closest to 1? (Use 3.14 as the value of 1.)
A.
77
V10
B. 75-V74
O C.
V37-V26
3V5 – V20
D.
Answer:
C: √37 - √26
Step-by-step explanation:
√37 = 6.083
√26 = 5.1
6.083 - 5.1 = 0.983
Answer:
C
Step-by-step explanation:
point a is located in which quadrant quadrant 1 quadrant 2 quadrant 3 quadrant 4
PLEASE HELP ME QUICK PLEASEEEE
Answer:
quadrant 2
Step-by-step explanation:
top right is 1, top left is 2, bottom left is 3, and bottom right is 4
AHHHHAHHHHAHHH IM DOING MY TEST!! ITS REVIEW OF MY 6TH GRADE CUZ I DIDNT PASS
Answer:
Good Luck!! try your best,
Step-by-step explanation:
(sat prep) find the value of x
Answer:
120 degrees
Step-by-step explanation:
RSM boi
but you actually have to get the values of the angles on the other side so
180-70=110
180-50=130
pretty simple from there
Answer:
120 deegress
Step-by-step explanation:
x + y = z
70 + 50 = x
x = 50+70 = 120