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
crimeas [40]
3 years ago
14

g The tangent plane to z=f(x,y) at the point (1,2) is z=5x+2y−10. (a) Find fx(1,2) and fy(1,2). fx(1,2)= Number fy(1,2)= Number

(b) What is f(1,2)? f(1,2)= Number (c) Approximate f(1.1,1.9). f(1.1,1.9)= Number

Mathematics
1 answer:
murzikaleks [220]3 years ago
6 0

Answer:

The values for Fx(1,2) and Fy(1,2) are 5 and 2 respectively.

Approximation at points (1.1,1.9) is 0.7

Step-by-step explanation:

Given:

Tangent plane to  a surface z=5x+2y-10 as the function at point (1,2)

To find :

f(x,y) at (1,2)

partial derivatives of function w.r.t. (x and y) and value of that function at given points.

Solution:(refer the attachment also)

Now we know that

the equation of tangent plane at given points to the surface is given by,

f(x1,y1,z1) and z=f(x,y)

z-z1=Fx(x1,y1)*(x-x1)+Fy(x1,y1)*(y-y1)

here Fx(x1,y1) and Fy(x1,y1) are the partial derivatives of x and y.

now

taking partial derivative w.r.t. x we get

Fx(x1`,y1)=\frac{d}{dx} (5x+2y-10)

=5.

Then w.r.t y we get

Fy(x1,y1)=

\frac{d}{dy}(5x+2y-10)

=2.

The values for Fx(1,2) and Fy(1,2) are 5 and 2 respectively.

Using the Linearization or linear approximation we get

L(x,y)=f(x1,y1)+Fx(x,y)*(x-x1)+Fy(x,y)(y-y1)

=-1+5(x-1)+2(y-2)

=5x+2y-10

Approximation at F(1.1,1.9)

=5(1.1)+2(1.9)-10

=5.5+3.8-10

=0.7

Approximation at points (1.1,1.9) is 0.7

You might be interested in
Please Help <br><br> Factor the polynomial: x^3 + 3x - 2x - 6
madreJ [45]

Answer:

(x^2-2)(x+3)

Step-by-step explanation:

x^3 + 3x^2 - 2x - 6

x^2(x+3)-2(x+3)

(x^2-2)(x+3)

6 0
2 years ago
You move down 1 units and up 2 units. You end at (-3,1). Where did you start? On a number graph 1 through 5 axis graph
Roman55 [17]

Let's do it step by step:

First we need to understand that moving upwards would be addition to y-coordinates, while moving downwards would be deduction to the y-coordinates.

Moving to rightwards would be addition to x-coordinates and leftwards would be deduction to x-coordinates.

As we moved down by 1 unit and up for 2 units, it means that we are originally upward for one unit and downward by 2 units, which makes downwards for 1 units and would be -1 to the y-coordinates:

(-3,1 -1)

=(-3,0)

Therefore the start would be (-3,0).

Hope it  helps!


6 0
3 years ago
Will give Brainliest! if right!
attashe74 [19]
W = 6
b = 4
You have a 3/5 chance every time to pull a white marble.
35 x 0.6 (6/10) = 21.
Your answer is D.)
8 0
3 years ago
Hardest one yet..<br> complete all of these<br> i mean all of em
Nonamiya [84]

Answer:

1st one: 16

2nd one: 16

3rd one: 64

4th one: 27

5th one: 1000

Step-by-step explanation:

Have a great day

3 0
3 years ago
Solve the equation f(x)=g(x) by graphing the functions f(x)=2x+1 and g(x)=5 on the same set of coordinate axes. Which statements
elixir [45]

Answer:

The ordered pair that contains the solution to the equation lies in Quadrant I.

The solution to the equation is x=2

Hope you ace your test!

7 0
3 years ago
Other questions:
  • What is the top price of $45.09 item when 7% sales tax is added
    8·1 answer
  • The mass of the container is 5.81 kilograms when completely filled with sugar. The mass of the container is 3.8 kilograms when 3
    13·1 answer
  • Given the function, f(x) = - 5x – 3, what is the value of x when f(x) = - 18?
    8·1 answer
  • How can 1/2 be written in decimal
    9·2 answers
  • the ratio of cookies to glasses of milk is 3:1.if there are 25 glasses of milk, how many cookies are there​
    9·2 answers
  • Need help quick quick quico
    9·1 answer
  • Carter and his friends are setting up a lemonade stand in their neighborhood. Their recipe makes 5 cups of lemonade, and calls f
    10·1 answer
  • A man wants to cut down a tree in his yard. To ensure that the tree doesn't hit anything, he needs to know the height of the tre
    15·1 answer
  • How do i divide?:-)I nevered learned
    12·2 answers
  • Question in the picture
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!