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
Katarina [22]
3 years ago
9

For the equation given below, evaluate y′ at the point (−2,2) xe^y−4y=2x−4−2e^2

Mathematics
1 answer:
jeka943 years ago
3 0
Implicit differentiation
chain rule is important here

I'll show the steps partially
e^y+xe^yy'-4y'=2
xe^yy'-4y'=2-e^y
y'(xe^y-4)=2-e^y
y'=\dfrac{2-e^y}{xe^y-4}
now evaluate for (-2,2)
x=-2 and y=2
y'=\dfrac{2-e^2}{-2e^2-4}
y'=\dfrac{2-e^2}{-2e^2-4}
y'=\dfrac{e^2-2}{2e^2+4}
that's it, simplest form
You might be interested in
What is the slope of the line that contains points (2,3) and (2,-4)
just olya [345]
D should be right ?
6 0
3 years ago
Read 2 more answers
Cereal A cost. $4.20 for a 14-ounce box and Cereal B costs $3.90 for a 12-ounce box. Which is better?
antiseptic1488 [7]
Cereal A is a better option...Need an explanation?
3 0
3 years ago
Read 2 more answers
Find the selling price. Round to the nearest cent.
Mrac [35]
10% of 13 is 1.3 so 13+1.3= 14.3
4 0
3 years ago
Read 2 more answers
If Ab = 54, find MC.
AnnyKZ [126]

Answer:

MC = 45

Step-by-step explanation:

Δ ABH and Δ MCH are similar and the ratios of corresponding sides are equal, that is

\frac{AB}{MC} = \frac{AH}{MH} , substitute values

\frac{54}{MC} = \frac{6}{5} ( cross- multiply )

6MC = 270 ( divide both sides by 6 )

MC = 45

8 0
3 years ago
10) Gabe put up a fence around his rectangular vegetable garden this weekend.
dybincka [34]

Answer:

The length is 16 ft, and the width is 3 ft.

Step-by-step explanation:

Let L = length & let W = width.

The perimeter of a rectangle is

P = 2(L + W)

The area of a rectangle is

A = LW

We know the perimeter and the area, so we substitute those values int he equations above and we switch sides in both equations.

Perimeter: 2(L + W) = 38

Divide both sides by 2:

L + W = 19

Area: LW = 48

We have a system of two equations in two unknowns:

L + W = 19

LW = 48

Solve the first equation for L and substitute it into the second equation.

L = 19 - W

(19 - W)W = 48

19W - W^2 - 48 = 0

Multiply both sides by -1, and rearrange the order of the terms.

W^2 - 19W + 48 = 0

(W - 16)(W - 3) = 0

W - 16 = 0 or W - 3 = 0

W = 16 or W = 3

Use W = 3 to find L

L = 19 - W

L = 19 - 3

L = 16

Answer: The length is 16 ft, and the width is 3 ft.

3 0
3 years ago
Other questions:
  • A theater can seat 864 people. The number of rows is 5 less than the number of seats in each row. How many rows of seats are the
    5·1 answer
  • A newborn panda at the San Diego zoo grew about 16 pound the first week and about 5/8 pound the second week. How much more did t
    9·1 answer
  • Give an example of when you would make a frequency table to solve a problem.
    14·1 answer
  • Solve the system be either substitution or elimination 3x-5y=21 and 2x+y=1
    8·2 answers
  • Wesley and Mia deposit $800.00 into a savings account which earns 15% interest compounded annually. They want to use the money i
    9·1 answer
  • 7. Which of the following is equal to 260 = 4?
    14·1 answer
  • Can you help me pl3s
    10·1 answer
  • Can someone help please!!!!!!
    5·1 answer
  • If the graph of the function moves to the right two units what is the new vertex of the function
    15·1 answer
  • 3x2 + 14x − 20 = (x + B)(3x − 4) What is B=
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!