Answer:f(x, y) = e
−xy. For the interior of the region, we find the critical points:
fx = −ye−xy
, fy = −xe−xy, so the only critical point is (0, 0), and f(0, 0) = 1.
For the boundary, we use Lagrange multipliers.
g(x, y) = x
2 + 4y
2 = 1 ⇒ λ∇g = h2λx, 8λyi, so setting ∇f = λ∇g we get
−ye−xy = 2λx and −xe−xy = 8λy. The first of these gives e
−xy = −2λx/y,
and then the second gives −x(−2λx/y) = 8λy ⇒ x
2 = 4y
2
. Solving this
last equation with the constraint x
2 + 4y
2 = 1 gives x = ± √
1
2
and y = ±
1
2
√
2
.
Now f
± √
1
2
, ∓
1
2
√
2
= e
1/4 ≈ 1.284 and f
± √
1
2
, ±
1
2
√
2
= e
−1/4 ≈ 0.779.
The former are the maxima on the region and the latter are the minima.
Step-by-step explanation:
Combine like terms to create an equivalent expression.
11/12 - 1/6q + 5/6q - 1/3
Answer:
The answer is 8q+7/12
Step-by-step explanation:
twice the cube root of a number is 24. find the number
Answer:
A cube number is the answer when an integer is multiplied by itself, then multiplied by itself again. The first five cube numbers are: 1, 8, 27, 64 and 125. ...
Six multiplication problems involved in solving 325 x 89
Answer:
(300*80) + (300*9) + (20*80) + (20*9) + (5*80) + (5*9) = 28925
Step-by-step explanation:
Given;
325 x 89
Expand 325 = 300 + 20 + 5
Expend 89.0 = 80 + 9
now multiple to two expanded numbers;
(300 + 20 + 5) x (80 + 9)
distribute the number accordingly as follows;
(300*80) + (300*9) + (20*80) + (20*9) + (5*80) + (5*9), now we have Six multiplication problems.
= 24,000 + 2700 + 1600 + 180 + 400 + 45
= 28925
Is this correct or no(Direct answer please
y2=2x2−1 is a function
Answer:
what do you need to to know 1) what kind of function its or 2) whats the answer of y and/or x
does anyone know this :/ ?
Answer:
angles 7, 6, 3, 2 are all vertical angles, which mean they are congruent (equal)
so if angle 7 is 115° so are 6, 3, and 2
so the measure of angle 2 is 115°
Step-by-step explanation:
give the first person brainliest
Determine whether this picture is an example of a function, relation, function and relation, or neither relation nor function
A:function only
B:Relation only
C:Neither function nor relation
D:Function and relation
Answer:
C:Neither funtion nor relation
C:Ni función ni relación
espero que te sirva marcarme como mejor respuesta PORFA y gracias
Answer:
relation only
Step-by-step explanation:
A relation is a set of one or more ordered pairs.
A function is a relation in which each element of the domain is paired with EXACTLY one element of the range.
The Vertical-Line Test: Given the graph of a relation, if a vertical line can be drawn that does not cross the graph in more than one place, it is a function.
Any vertical line drawn where x > -4 will cross the graph in more than one place.
Therefore, the graph is not a function, it is a relation only.
Quadrilateral PQRS is transformed by translating it 6 units to the right and then rotating it 90° clockwise
about the origin. Which coordinate pairs represent vertices of P'Q'R'S' after these two transformations?
Answer:
(y, -x -6)
Step-by-step explanation:
The coordinates of PQRS is not given, however we'll assume the coordinates of PQRS to be (x,y)
The first transformation: 6 units right
[tex](x,y) -> (x + b, y)[/tex]
Where b = 6
So, the new coordinates will be
[tex](x + 6, y)[/tex]
The second transformation: 90° clockwise
[tex](x,y) -> (y,-x)[/tex]
So, the new coordinates will be
[tex](x + 6, y)-> (y, -x -6)[/tex]
Hence, the new coordinates of PQRS is (y, -x - 6)
Help me for free brainlyist
Answer:
30. 5 and 6
31. about 7 feet
32. E
33. 7 and 8
34. 111
Answer:pappy happy jigen
Step-by-step explanation:
The norman h.s. math club has twice as many male members as female members twenty percent of the male members and 30 female members participated in a math contest. What fraction of those members participating in the math contest were female? express your answer as a common fraction
Answer:
[tex]\frac{3}{7}[/tex]
Step-by-step explanation:
20% male and 30% female. 20% + 30%= 50% It is asking us what members participating was female. *50% out of 100%
> [tex]\frac{30}{70}[/tex] reduce or divide by 10 we get our fraction and answer, [tex]\frac{3}{7}[/tex].
Jim is showing his work in simplifying (−8.5 + 6.1) − 1.3.
Step 1: (6.1 − 8.5) − 1.3
Step 2: 6.1 − (8.5 + 1.3)
Step 3: 6.1 − (9.8)
Step 4: 1.1
Which statement is true?
In step 1, Jim used the associative property.
In step 2, Jim used the distributive property.
In step 3, Jim used the commutative property.
In step 4, Jim's answer is incorrect.
Answer: -3.7
Step-by-step explanation:
Step 4 is wrong 6.1 - 9.8 = -3.7
What is the expanded form of (a + b)^2?
Answer:
[tex] {a}^{2} + 2ab + {b}^{2} [/tex]
Answer:
(a + b) × (a + b)
Step-by-step explanation:
(a + b)²
(a + b) × (a + b)
D
Question 2
1 pts
Witch-in-training Blythe buys a box of chocolate frog cupcakes for her new neighbors, but they look so delicious, she decides to try a copy spell to create an extra batch for herself. But oh,
no, the spell goes wrong, and now the cupcakes won't stop copying themselves. There were 12 cupcakes to start off with, and their numbers increase at a rate of 20% per minute. Which
equation below could be used to determine how many cupcakes there will be after 'm' minutes?
Answer:
Step-byWhich of the following is a common sign that a chemical change has occurred?-step explanation:
2/3 x-4 = -2
A -3
B -4
C -9
D 3
Answer:
i think its d
Step-by-step explanation:
cause i solved it and got the same answer
a recipe calls for 4 teaspoons of cinnamon to make 2 dozen oatmeal cookies .how many teaspoons of cinamon are needed to make 60 oatmeal cookies?
Answer:
10 teaspoons
Step-by-step explanation:
1 dozen of cookies= 12 cookies
4 teaspoon of cinnamon ----- 2(12)= 24 cookies
Amount of cinnamon needed per cookie
[tex] = \frac{4}{24} \\ = \frac{1}{6} \: teaspoon[/tex]
Teaspoons of cinnamon needed for 60 cookies
[tex] = 60( \frac{1}{6} ) \\ = 10[/tex]
Thus, 10 teaspoons of cinammon is needed for 60 oatmeal cookies.
Is -0.25 irrational or rational
Answer: Irrational
Step-by-step explanation:
-0.25 is irrational because it can be written as a terminating decimal.
Answer:
irrational
Step-by-step explanation:
7x10x10x10x10=
using exponent
7(10^4)
Hope this helps :)
Answer:
70,000
Step-by-step explanation:
100x100=10000x7=70000
The graph of y=|x−1|+ 7 is reflected across the y-axis and then translated up 1 unit. What is an equation of the transformed graph?
Answer:
y = |-x-1| + 8.
Step-by-step explanation:
A reflection across the y axis gives the equation y = |-x -1| + 7.
Then a translation up 1 unit gives the equation y = |-x-1| + 8.
NEED HELP GIVING 15 POINTS
Answer:
Jack is incorrect. The correct answer is 2
Step-by-step explanation:
The question is given as:
4x-24 / (y+w) where x=5, y=3 and w= -5
Substitute values of x, y and w in the equation as;
4*5 - 24 / (3+-5)
20 - 24 / (-2)
-4 / -2 = 2
Jack's answer is 7 which is wrong. The correct answer is 2
2 is correct because you have substituted the real values of x,y and w in the expression and performed the operation right.
What is 3/4 divided by 9?
Answer:
1/12 or 0.0833333333333
Step-by-step explanation:
The EverGlow nuclear power plant releases water into Lake Fishbegone every afternoon at 4:51 p.m. Environmental researchers are concerned that fish are being driven away from the area around the plant. They believe that the temperature of the water discharged may be a factor. The data table below gives the temperature of the water released by the plant and the measured distance (in meters) from the outflow pipe of the plant to the nearest fish found in the water on several randomly chosen afternoons. A scatterplot of the data and the least-squares regression line are given.
What is the slope of the least-squares regression line? *
A. -74.704
B. 5.791
C. 12.196
D. 0.946
9514 1404 393
Answer:
B. 5.791
Step-by-step explanation:
The slope of the line is the coefficient of x in its equation. The equation is ...
ŷ = -74.704 +5.791x
The coefficient of x, the slope, is 5.791.
What is the least common multiple of 4 and 12?
Answer:
The lcm (least common multiple) of 4 and 12 is 12.
Step-by-step explanation:
Find the prime factorization of 4
4 = 2 × 2
Find the prime factorization of 12
12 = 2 × 2 × 3
Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:
LCM = 2 × 2 × 3
LCM = 12
The Least common multiple of 4 and 12 is 12.
I hope this helps!
8^(1/2)+16^(1/4)-12^(1/2)+81^(1/4) and 〖8∙2〗^(1/2)-24^(1/4)-3^(1/2)+128^(1/4)
Answer:
Im too gucci. 88.
Step-by-step explanation:
Add 38 and 29, then multiply by 2.
Answer:
134
Step-by-step explanation:
what is the measure of an angle that is linear pair with 10 degrees
Answer:
170 degree bcause 180 -10 = 170 ( linear pair )
Answer:
170 degree bcause 180 -10 = 170 ( linear pair )
Step-by-step explanation:
Write the standard form of the equation:
Slope= 3 y-intercept= -1
Answer:
y=3x-1
Step-by-step explanation:
y=mx+b
y=3x+b
y=3x-1
please help. im really struggling,
Answer:
3/10 =a
Step-by-step explanation:
X*1/5×3/2 =X*a
X*3/10 =X*a
base are same so
3/10 =a
Solve for the value of N
Answer:n=9
Step-by-step explanation:
Jamal wants to subtract 16-7. First he subtract 16-6 then he subtracts 1 why will he get the correct answer
Step-by-step explanation: He will get the answer correct because if you add the 6 & 1 together it equals Seven. Seven was the original number that was supposed to be subtracted from 16.
Sorry if I didnt help
what is six less than 9
Answer:
3
Step-by-step explanation:
9-6=3
