1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
KatRina [158]
3 years ago
9

Suppose that f(x,y) is a smooth function and that its partial derivatives have the values, fx(−7,−2)=−1 and fy(−7,−2)=3. Given t

hat f(−7,−2)=−2, use this information to estimate the value of f(−6,−1). Note this is analogous to finding the tangent line approximation to a function of one variable. In fancy terms, it is the first Taylor approximation.
Mathematics
1 answer:
yarga [219]3 years ago
5 0

Answer:

f(-6,-1) =0

Step-by-step explanation:

We are given the following in the question:

f_x(-7,-2)=-1\\f_y(-7,-2)=3\\f(-7,-2)=-2

We have to estimate the value of f(-6,-1)

By Taylor approximation we have:

f(x,y) =f(-7,-2)+ f_x(-7,-2)(x+7) + f_y(-7,-2)(y+2)\\f(x,y) = -2 + (-1)(x+7) + 3(y+2)\\f(x,y) = -2-x-7+3y+6\\f(x,y) = -x+3y-3

Now, putting values, we get,

f(x,y) = -x+3y-3\\f(-6,-1) = -(-6)+3(-1)-3\\f(-6,-1) =0

is the required value.

You might be interested in
How to find the area of a segment of a circle if r=8 and central angle =120 degrees. Please explain clearly and thoroughly. Will
bekas [8.4K]
First you need to find the area of the circle, which is πr^2
With a radius of 8 inches, the area of the circle will be π*8^2 or 64π.
Next you want to find the area of the 120 degree section of that circle.
120 degrees is 1/3 of a circle, so all you have to do next is multiply the are of the circle by 1/3 (because 360/120= 1/3).
(1/3)(64π) --> All you really have to do here is multiply 64 by 1/3 or divide it by 3 (because to divide by a number is the same a multiplying by it's reciprocal) so you get (64/3)(π).
64/3 is 21 and 1/3 or 21.333..., so however you choose to write it, I will leave the answer as (64/3)π squared inches.
5 0
3 years ago
Put the following equation in shape intercept form y-2=-3(x-5)
Damm [24]

Answer:

y = -3x + 17

Step-by-step explanation:

In this question, you have to put the given equation into slope intercept form.

Slope-intercept form: y = mx + b

Solve:

y - 2= -3(x - 5)

Use the distributive property to distribute the -3 to the variables inside the parenthesis.

y - 2 = -3x + 15

Add 2 to both sides to get "y" by itself.

y = -3x + 17

The slope intercept form of the line would be y = -3x + 17

7 0
3 years ago
PLEASE ANSWER OFFERING BRAINLEST
Inessa [10]
B-9inches hope that helps
3 0
2 years ago
On Monday, the temperature at 10 a.m. at Sam's house was -6° Fahrenheit. The temperature at 2 p.m. at Sam's house
Naily [24]
Rose 8 Fahrenheit
I hope this help you !!!
6 0
2 years ago
Please help i’ll give brainliest!!! thanks
Y_Kistochka [10]

Answer:

<h2>The Yangtze River</h2>

<em>Hope that helps! :)</em>

<em></em>

<em>-Aphrodite</em>

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Other questions:
  • Which graph would help solve the equation5log(x+3)=5?
    6·1 answer
  • Two sisters, Jenny and Penny, play on the same basketball team. Last season they scored a combined total of 458 points. Jenny sc
    9·1 answer
  • A group of seventh and eighth graders were asked whether they prefer reading fiction or nonfiction.
    6·2 answers
  • Ex 10 a] 8 si 27 in produs de 3 factori egali: b] 16 si 87 in produs de 4 factori egali. Ex 11 Detrmina ordinea efectuarii opera
    14·1 answer
  • Use the figure below to find the answer.
    13·1 answer
  • PLEASE HELP ME! PLEASEEE
    5·2 answers
  • What is 508.93 rounded to the nearest tenth
    13·2 answers
  • Find the greatest number than divides 45 60 75 without leaving remainder​
    5·2 answers
  • What is -3x less than 12
    10·2 answers
  • I need help on 9,10,11 please
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!