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
nignag [31]
3 years ago
11

Find an equation for a tangent plane z=e-x2-y2 at the point (0,0,1).

Mathematics
1 answer:
Nadya [2.5K]3 years ago
7 0

Answer: equation of the tangent plane is z = 1

Step-by-step explanation:

Given equation

z = e^(-x²-y²) at point (0,0,1)

now let z = f(x,y)

Δf(x,y) = [ fx, fy ]

= (-2xe^(-x²-y²)), (-2ye^(-x²-y²))

now

Δf (0,0) = [ 0, 0 ] = [ a, b ]

equation of the tangent plane therefore will be

z - z₀ = a(x-x₀) + b(y-y₀)

z - 1 = 0(x-0) + 0(y-0)

z - 1 = 0 + 0

z = 1

Therefore equation of the tangent plane is z = 1

You might be interested in
How do you simply 3x-7+9-2x=x+2
Gre4nikov [31]

Answer:

x+2=x+2

Step-by-step explanation:

Combine like terms

3x+(-2x) and (-7)+9

x+2=x+2

7 0
3 years ago
I need help its7th grade work
storchak [24]
63 have a great day hope this helped
5 0
3 years ago
A department store is having a sale in which every item is 38% off its original price. The regular price of a suit is $112. How
lara [203]

Answer: $42.56

Step-by-step explanation:

Percent discount in department store = 38%

The regular price of suit = $112.

Price taken off the regular price of the suit =

38% of $112

So, 38% of $112

= (38/100) x $112

= 0.38 x $112

= $42.56

(i.e the customer will pay $112 - $42.56 = $69.44 only for the suit)

Thus, the price taken off the regular price of the suit is $42.56

3 0
3 years ago
Plz help thank you<br> correct ans only
kakasveta [241]

Answer:

B

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
E U F {2,4,6,8,} true or false
lesya [120]
Tbh i think its true not 100%
4 0
3 years ago
Other questions:
  • Tortoise a walks 52. 0 ft./h and told us B walks 12 in./m which tortoise travels faster
    11·1 answer
  • What rules change the input numbers to output numbers
    14·2 answers
  • Write an equation in slope-intercept form of the line shown.
    11·2 answers
  • In a high school of 1250 students, 250 are freshmen and 150 students take Spanish. If being a freshman and taking Spanish are in
    10·2 answers
  • Henrietta has 5 hours to complete her 4 chores. How many hours does she have to do each chore? Choose the correct answer from th
    7·2 answers
  • See question above<br> 11.5 km<br> 9.5 km<br> 9 km<br> 9.7 km
    14·1 answer
  • Will give brainliest if correct.
    15·1 answer
  • What conclusion can be made based on this equation 8×6=48
    12·2 answers
  • Can someone plz help me with this one problem plz!!!
    14·1 answer
  • HELP ME PLEASEEEE THANKUU!!! I REALLY NEED IT !!!​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!