Step-by-step explanation:
Given the function
f(x, y) = 5 + x ln(xy − 9) at the point (5, 2)
For the function to be differentiable at the given point, the differential of the function with respect to x and y must be continuous at the point.
Fx is the differential of the function with respect to x.
Using product rule to get f(x):
fx = 0 + x(1/(xy-9)y) + ln(xy-9)
fx = xy(1/(xy-9)) + ln(xy-9)
Substitute point (5, 2) into fx
fx = 5(2)(1/5(2)-9) + ln(5(2)-9)
fx = 10(1/(10-9)) + ln(10-9)
fx = 10(1/1) + ln1
fx = 10 + 0
fx = 10
For fy:
fy = 0 + x²(1/(xy-9))+ 0
fy = x²(1/(xy-9))
Substitute point (5, 2) into fy
fy = 5²(1/(5(2)-9))
fy = 25(1/10-9)
fy = 25(1/1)
fy = 25
Next is to calculate f(5,2)
f(5,2) = 5 + 5 ln(2(5) − 9)
f(5,2) = 5 + 5 ln(10− 9)
f(5,2) = 5 + 5 ln1
f(5,2) = 5 + 5(0)
f(5,2) = 5
Since fx ≠ fy, hence the function is not differentiable at the given point
Based on the probabilities of events M and N, which statement is true? HURRY PLEASE!
Answer:
it is b or c i think but i am pretty sure it is c
Step-by-step explanation:
4 + 3² × 2 - 1
full account please
Answer:
21
Step-by-step explanation:
the answer was simplified
Simplify: 3√5⋅√10+11√5⋅√10−√5
26√50
14√15−√5
14√50−√5
6√35
Answer:
When multiplying radical expressions with the same index, we use the product rule for radicals. If a and b represent positive real numbers,
Example 1: Multiply:
√2⋅√6
Solution: This problem is a product of two square roots. Apply the product rule for radicals and then simplify.
Step-by-step explanation:
Hope this helps . ;)
Hey! Hope your having a amazing day! Can you please help me and answer this questions? I need this fast! Thanks! ;( (Integers!)
Answer:
-15 feet
Step-by-step explanation:
-60/4=-15
Answer:
-15
Step-by-step explanation:
i hope this makes your day better!!
John bikes at a speed of 10 miles per hour. His friend Brian is slower, his biking speed is only
8 miles per hour.
Today the boys went for a 20 miles trip, each boy was biking at his usual speed. How long did John wait for Brian at the finish line?
Answer:
I think John waited half an hour for Brian
Step-by-step explanation:
20/10=2
20/8+2.5
Answer:
1/2 hours
Step-by-step explanation:
7/22 rounded to the nearest thousandths
Answer:
0.318
Step-by-step explanation:
I hope this helps! :)
and can I get a brainliest?
Answer: 0.318
Step-by-step explanation:
In a lottery game, a player picks 7 numbers from 1 to 49. If 6 of the 7 numbers match those drawn, the player wins second prize. What is the probability of winning this prize? Be sure to leave your answer as a fraction in order to earn credit.
There is a
? probability of winning second prize.
Answer:
,t,त्ल्ह्त?एकता !लोकतान्त्रिक फंत्त
Un grupo de 14 mujeres y 16 hombres
formará parejas de trabajo. ¿cuántas
parejas se pueden formar?
Responder:
14 parejas
Explicación paso a paso:
Una pareja es la combinación de un hombre y una mujer.
Dado que la cantidad de hombres reemplaza a la de mujeres en 2, esto significa que podemos emparejar a todas las mujeres con 14 hombres (excluyendo 2 hombres)
Promedio = (14 + 16) / 2
Promedio = 30/2
Promedio = 15
Como no podemos para un número impar de parejas sino pares, la cantidad de parejas que se pueden formar será:
No de parejas = promedio - 1
No de parejas = 15-1
No de parejas formadas = 14
Usando el concepto de proporción, tiene-se que 15 parejas se pueden formar.
-------------------------
Para solucionar esta pregunta, usa-se proporciones, a partir de una regla de tres.Una pareja es formada por 2 personas.En todo, tiene-se 14 - 16 = 30 personas. Quantas parejas?La regla de tres es:
1 pareja - 2 personas
x parejas - 30 personas
Aplicando multiplicacción cruzada:
[tex]2x = 30[/tex]
[tex]x = \frac{30}{2}[/tex]
[tex]x = 15[/tex]
Se pueden formar 15 parejas.
Un problema similar es dado en https://brainly.com/question/24617308
It’s division plz ASAP
Answer:
98/115
Step-by-step explanation:
2 4/5 / 3 2/7
14/5x23/7
14/5x7/23
98/115
Answer:
it is 98/115 but I dont know what the simplified part of it is
Step-by-step explanation:
2 and 4/5 turns into 14/5. 3 and 2/7 turns into 23/7. keep 14/5 the same but flip 23/7 over to be 7/23. then multiply it and you get 98/115
The price per share of a company increases from $16.00 to $20.00
What is the percent increase of the price per share of the company?
Answer:
25%
Step-by-step explanation:
16*1.25=20
Hope this helps!
(2x−5.6)/3 = (1−x)/1.5 pls help
Answer:
1.9
can you also please mark me as brainliest?
How to solve this
6m+6+7(1-3m)=-32
Answer:
m=15
Step-by-step explanation:
BODMAS
6m+6+7-3m=-32
collect like terms
6m-3m+6+7=-32
3m+13=-32
3m=-32-13
3m=45
m=45/3
m=15
Answer:
m = 3
Step-by-step explanation:
6m + 6 + 7(1 - 3m) = -32 (distruibute)
6m + 6 + 7 - 21m = -32 (collect like terms)
-15m + 13 = -32 ( subtract 13 on both sides to get rid of it on the left side)
-15m = -45 (divide by -15 on both sides to get m alone)
m = 3
HOPE THIS HeLPeD!!
The Empire State Building weighs about 7.3x10^8 pounds.The one World Trade Center building weighs about 88,220,000 pounds. What is the total weight, in pounds, of these two buildings? Expressing your answer in scientific notation in the form ax10^b, what are the values a and b?
Answer:
8.1822x10^8
or 818,220,000
7th grade help me plzz
Answer:
10 degrees celcius
Step-by-step explanation:
hope this helped :D
Answer:
The new temperature would be 10 degrees fahrenheit
Step-by-step explanation:
15+(-5)=10
Identify the like terms in the expression.
-12h-4+9-3h
Answer:
The numbers with the same variables and exponent degree are like terms.
-12h and -3h are like terms, -4 and 9 are like terms.
Four different stores have the same digital camera on sale. The original price and discounts offered by each store are
listed below. Rank the stores from the cheapest to most expensive sale price of the camera.
Store A: price $99.99 and discount of 15%
Store B: price $95.99 and discount of 12%
Store C: price $90.99 and discount of 10%
Store D: price $89.99 and successive discounts of 5% and 5%
A, B, C.D
b. A, B, D, C
c. D, A, B, C
d. D, C, B, A
a.
Please select the best answer from the choices provided
Answer:
D, C, B, A
Step-by-step explanation:
Given the prices below:
Store A: price $99.99 and discount of 15%
15% discount :
Discounted price : (1 - 0.15) * $99.99 = $84.99
Store B: price $95.99 and discount of 12%
12% discount :
Discounted price : (1 - 0.12) * $95.99 = $84.47
Store C: price $90.99 and discount of 10%
10% discount :
Discounted price : (1 - 0.10) * $90.99 = $81.89
Store D: price $89.99 and successive discounts of 5% and 5%
5% discount :
Discounted price : (1 - 0.05) * $89.99 = $85.4905
5% discount :
(1 - 0.05) * $85.4905 = $81.22
Cheapest = store D, then then C, then B, then A
D, C, B, A
Answer:
is D on Edge
Step-by-step explanation:
I need help with this please
the third answer (bottom left): 3^7 x 1/3^4
the negative exponent means its 1 divided by the number and exponent. i hope this helps you!! <3
Answer:
[tex]3^{7} * \frac{1}{3^4}[/tex]
Step-by-step explanation:
The Measure of two angles are (5x+24)° and (9x-17)°. What is the value of x if these anglers are congruent
Answer:
10.25
Step-by-step explanation:
5x+24=9x-17
24=4x-17
x=10.25
Rewrite each equation in slope-intercept form. x=4y+2
Answer:
y=1/4x - 2/4
Step-by-step explanation:
x=4y+2
-4y+x=2
-4y=-1x+2
-4y/4=1/4x+(-2/4)
y=1/4x - 2/4
The following data are for 30 observations involving two categorical variables, x and y. The categories for x are A, B, and C; the categories for y are 1 and 2.
Observation x y
1 A 1
2 B 1
3 B 1
4 C 2
5 B 1
6 C 2
7 B 1
8 C 2
9 A 1
10 B 1
11 A 1
12 B 1
13 C 2
14 C 2
15 C 2
Observation x y
16 B 2
17 C 1
18 B 1
19 C 1
20 B 1
21 C 2
22 B 1
23 C 2
24 A 1
25 B 1
26 C 2
27 C 2
28 A 1
29 B 1
30 B 2
a. Develop a crosstabulation for the data, with x as the row variable and y as the column
variable.
b. Compute the row percentages.
c. Compute the column percentages.
d. What is the relationship, if any, between x and y?
The row percentages for A, B, and C will be 0%, 83.3%, and 15.4% respectively.
How to calculate the percentage?The row percentage for A will be:
= 0/5 × 100
= 0%
The row percentage for B will be;
= 10/12 × 100
= 83.3%
The row percentage for C will be:
= 2/13 × 100
= 15.4%
The column percentage for A will be:
= 0/12 × 100
= 0%
The column percentage for B will be:
= 10/12 × 100
= 83.3%
The column percentage for C will be:
= 2/12 × 100
= 16.7%
Learn more about percentages on:
https://brainly.com/question/24304697
#SPJ2
What angle is this?
Answer plz plz plz plz plz
Answer:
if it is reflected on the y axis, it will be moved to quadrant 2(top left). if it reflects over the x axis, it will move to quadrant 4(bottom right).
3/8 divided by -0.25
Answer:
-1.5
Step-by-step explanation:
use 2nd grade math
Answer:
[tex]\frac{-3}{2}[/tex]
Step-by-step explanation:
Convert -0.25 to [tex]\frac{-1}{4}[/tex]
[tex]\frac{3}{8}(\frac{-4}{1} )[/tex]
[tex]\frac{-3}{2}[/tex]
I NEED HELP WITH THIS PLEASE?
Answer:
37°
Step-by-step explanation:
∠CDE and ∠ABE are alternate interior angles, so are congruent. That is, if we find ∠ABE, we have the answer to the question.
∠DEA is an exterior angle to ∆ABE, so is equal to the sum of the remote interior angles:
∠DEA = ∠ABE +∠BAE
62° = ∠ABE +25°
∠ABE = 62° -25° = 37°
∠CDE = 37°
a Given p(x) = X+41, what is (-10)?
Answer:
p(-10) = 31
Step-by-step explanation:
Plug in -10 as x into the equation, and solve
p(x) = x + 41
p(-10) = -10 + 41
p(-10) = 31
Given : p(x) = x + 41
We have to find value of p(-10)[tex].[/tex]
➙ p(x) = x + 41
By substituting x = (-10), we get
➙ p(-10) = (-10) + 41
➙ p(-10) = 41 - 10
➙ p(-10) = 31
Hope It Helps!Solve the following system of equations using the substitution method
X=4
[x+ 3y - 10
Solution :
Answer:
the answer is x5.5
Step-by-step explanation:
Divide. Check your answer. 17 parenrightze 5204
To find this product, Marcus first multiplied 103 x 27.
Which shows the correct placement of the decimal point
in the product?
1.03 x 2.7 = 2781
0.2781
2.781
27.81
278.1
URGENT
55 POINTS
Answer: B 2.187 have a good day
Step-by-step explanation:
because i say and it was right for me
Which phrase should be inserted on the line to correctly compare the two fractions? Use the models to help.
Four-fifths blank line StartFraction 16 Over 20 EndFraction
Four-fifths
A model has 4 shaded parts and 1 unshaded part.
StartFraction 16 Over 20 EndFraction
A model has 16 shaded parts and 4 unshaded parts.
is greater than
cannot be compared to
is less than
is equal to
Answer:
its equal to
Step-by-step explanation:
hope this helps
Answer:
its d i believe
Step-by-step explanation:
Solve:
7(x + 3) < 5x + 13
1. x>-4
2.x<17
3.x<-4
4.x>-17
Answer:
Its x < - 4
Step-by-step explanation: