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
Mila [183]
3 years ago
9

Find an equation of the tangent plane to the surface at the point . Question 14 options: a) b) c) d) e)

Mathematics
1 answer:
sesenic [268]3 years ago
7 0

This question is incomplete, the complete question is;

Find an equation of the tangent plane to the surface z=1y²−1x² at the point (-4, 3, -7).

z = .....................

Note: Your answer should be an expression of x and y; e.g. 3x - 4y + 6.

Answer:

Z = 8x + 6y + 7

Step-by-step explanation:

Given that z = 1y² - 1x²

with points (-4, 3, -7)

so

Z = y² - x²

Equation of tangent plane to the surface Z = f(x,y) at the points ( x₀,y₀,z₀) is

Z - Z₀ = fx (x₀,y₀)(x-x₀) + fy (x₀y₀)(y-y₀)

therefore

Z = f(x,y) = y² - x²

fx = -2x, fx (-4, 3, -7) = -2(-4) = 8

fy = -2y, fy ( -4, 3, -7 ) = 6

Z + 7 = 8(x+4) + 6(y-3)

Z + 7 = 8x + 32 + 6y - 18

Z + 7 = 8x + 32 + 6y - 18

Z + 7 = 8x + 6y + 14

Z = 8x + 6y + 14 - 7

Z = 8x + 6y + 7

You might be interested in
Help ASAP please! JKL is a right triangle. JL = 10, KL = 8,<br> and JK = 6. What is cos L?
Alisiya [41]

Answer:

cos l = 8/10

Step-by-step explanation:

cos = b/h

=> cos l = 8/10

3 0
3 years ago
Read 2 more answers
An explanation would be appreciated!!
sweet-ann [11.9K]

Answer:

Answer: l = 82.5

Step-by-step explanation:

11/2 x 15 = 82.5.

4 0
2 years ago
William has a 26 -liter glass tank. First, he wants to put some marbles in it, all of the same volume. Then, he wants to fill th
madreJ [45]

Subtract the volume of the water from the volume of the tank to get the total volume of the marbles.

26 liters - 20.9 liters = 5.1 liters

He has 20.9 liters of water.

He has 85 marbles that add up to 5.1 liters of volume.

To find the volume of one marble, we divide 5.1 liters by 85.

(5.1 liters)/85 = 0.06 liters

The volume of each marble is 0.06 liters.

If he uses 200 marbles, the the marbles will occupy 200 * 0.06 liters = 12 liters.

The volume of the tank is 26 liters. 12 liters of volume is occupied by the marbles. The rest of the volume is water.

26 liters - 12 liters = 14 liters

4 0
3 years ago
Which compatible number will give the best estimemate for 589÷58
melomori [17]
The answer would be to 10
7 0
3 years ago
Hiro has 5 kilograms of potatoes and 2 kilograms of onions. He plans to use 3.25 kilograms of potatoes and 550 grams of onions f
spayn [35]

Answer: 3.20kg

Step-by-step explanation:

Hiro has 5 kilograms of potatoes and 2 kilograms of onions. The total kilogram of the produce will be:

= 5kg + 2kg

= 7kg

Since he plans to use 3.25 kilograms of potatoes and 550 grams of onions for a recipe. The total kilogram that he plans to use will be:

= 3.25kg + 0.55kg

= 3.80kg

Therefore, the total kilograms of the produce will not be used will be:

= 7kg - 3.80kg

= 3.20kg

Note:

1000grams = 1 kilogram

550gram = 550/1000 = 0.55kg

4 0
3 years ago
Other questions:
  • Evaluate the expression 7+8(15-9) sqaured
    6·2 answers
  • Whats the decimal that is equivalent to 1/15
    12·2 answers
  • A restaurant bill is $25, and a 20 percent tip should be given to the waiter. Which expression can be used to find the total amo
    6·2 answers
  • If the expression ax(2x + y - 5) simplifies to 6x² +3xy - 15x, what is the value of a?
    10·2 answers
  • Need a little help with this problem
    6·1 answer
  • What is the area of the triangle below?
    15·1 answer
  • Can someone help with these
    9·1 answer
  • Find the area of a triangle. h= 8.2yards b= 2.1 yards​
    8·1 answer
  • In order to prove the triangles congruent by ASA, which statement needs to be given?
    9·1 answer
  • <img src="https://tex.z-dn.net/?f=%5Csf%20Solve%5C%3A%20this%20%5C%3A%20with%5C%3B%20steps%3A-" id="TexFormula1" title="\sf Solv
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!