Please Help - For the equation given below, evaluate y′ at the point (−1,2).
ey+19−e2=3x2+4y2.
y′ at (−1,2) =
Answers
[tex]e^y +19-e^2 = 3x^2 +4y^2\\\\\implies \dfrac{d}{dx}(e^y +19-e^2) = \dfrac{d}{dx}(3x^2 +4y^2)\\\\\implies e^y \dfrac{dy}{dx}+0 = 3\dfrac{d}{dx} x^2 +4\dfrac{d}{dx} y^2\\\\\implies e^y y' = 6x + 8y y'\\\\\implies e^y y' -8yy' = 6x\\\\\implies y'(e^y -8y) = 6x\\\\\implies y' = \dfrac{6x}{e^y -8y}\\\\\text{At point (-1,2)}\\\\y' = \dfrac{6(-1)}{e^2 -8(2)} = - \left(\dfrac{6}{e^2 -16}\right) =-0.25[/tex]
Related Questions
Jaxon Rollison
10 of 1410 of 14 Items
Question
A salesperson earns $8 per hour plus 6% commission on her sales. In a week when she worked 40 hours, her total earnings were $692.
What was the total amount of her sales for the week?
Answers
Answer:
6200
Step-by-step explanation:
first find how much she would make purely based on hours worked:
8x40 = 320 dollars
next subtract this from total on her paycheck so 692-320 is 372
we know that 372 is 6% of a number so...
[tex]\frac{6}{100}[/tex] x = 372
[tex]\frac{6x}{100}[/tex] = 372
6x= 37200(100)
x=6200 $ divide by 6
so she sold $6200 worth of merchandise to earn $372 of commission
Find the missing number in this proportion.
7 =2/4
Answers
Answer:
So in between the 2 and the / there is an 8
Step-by-step explanation:
Because 28/4=7
Harold bought 3 points of red apples and 4.2 pounds of green apples from a grocery store, where both kinds of apple are 1.75 a pound. How much did Harold spend on apples?
Answers
Answer:
12.6
Step-by-step explanation:
total weight of apples = 3+ 4.2
= 7.2 pounds
total money spent on apples = 1.75 × 7.2
= $12.6
Answer:
12.6
Step-by-step explanation:
he had 3 points of red apples and 4.2 pounds of green apple and 1.75 pounds so he spend 12.6
In your own words, describe the one thing that makes adding decimals different than adding whole numbers. Why is this important
Answers
Answer:
Step-by-step explanation:
One difference is that when adding decimals you have to be aware if you have to move it or is the numbers are lined up,while whole numbers you just add them with no worries just making sure your adding the number rights and getting the right answer .
Solve for x. Round to the nearest hundredth. 10^x = 42
Answers
Answer: The answer is 1.62.
Explanation: It is in the image.
Alicia sold 59 fewer tickets than Jenna and Matt sold together. How many tickets did Alicia sell ? Explain
Answers
Answer:
I'm guessing 401 tickets. lol
Number of tickets Alicia sold is equals to 401 .
What is linear equation?" Linear equation is defined as the algebraic expression with one or more variables with highest power of the variable equals to one."
According to the question,
x represents the number of tickets Alicia sold
As per the data given,
Number of tickets Jenna and Matt sold together = 282 + 178
= 460 tickets
Substitute the given values in the condition we get linear equation,
x + 59 = 460
⇒ x = 460 - 59
⇒ x = 401 tickets
Hence, number of tickets Alicia sold is equals to 401 .
Learn more about linear equation here
https://brainly.com/question/11897796
#SPJ2
Find the area of the shaded region below.
Answers
Answer:
145
Step-by-step explanation:
yeah-ya...... right?
Is 14,015,289 divisible by 8?
Answers
Answer:
yes but there will be a decimal
Step-by-step explanation:
8g-f g=-1 f=4 Please show work I have no clue how to do it
Answers
6. Give examples of methods to safeguard inventory.
Answers
Answer:
1. Security Technology. ...
2. Security Personnel. ...
3. Inventory Audits. ...
4. Just-in-Time Inventory.
Step-by-step explanation:
Reviewing a few examples of safeguarding inventory can shed light on common inventory security methodologies, helping you to implement the ideal inventory safeguards for your business.
Security Technology. ...
Security Personnel. ...
Inventory Audits. ...
Just-in-Time Inventory.
one integer is four more than another integer. the sum of the integer is twenty-six. find the integers
(with solution and check po pls, NONSENSE=REPORT)
Answers
Next, we know both integers give us 26. x + y = 26
Firstly, we can solve for x in x + y = 26. This gives us x = -y + 26. Next, we plug that into our other equation. -y + 26 + 4 = y. This gives us -y + 30 = y. Then, 30 = 2y or 2y = 30. Finally, we have y = 15. One of our integers is 15.
Next, we plug 15 into our equation. I will plug it into x + y = 26. x + 15 = 26. This gives us x = 11.
14 is 4 more than 11. They both add to 26.
A square plywood platform has a perimeter which is 11 times the length of a side,
decreased by 42. Find the length of a side. (P = 4L
Answers
Answer:
Step-by-step explanation:
11L - 42 = 4L
7L = 42
L = 6
What is the constant of proportionality in the following equation?
y = 5x + 0
Answers
Answer:
5
Step-by-step explanation:
y is always 5 times greater than x
From 36 to 48 what is the percent change? Plz this is sooooo confusing
Answers
Answer:
33.33
Step-by-step explanation:
(48-36):36*100
(48:36-1)*100
133.33333333333-100 = 33.33
Need help!! timed, and will give brainlist
Answers
Answer: 90
Step-by-step explanation:
The sum of the angles of a triangle is 180°. If one angle of a triangle measures x and the second
angle measures (4x + 7)º, express the measure of the third angle in terms of x. Simplify the
expression.
.....
Answers
Answer:
-5x+173
Step-by-step explanation:
x+4x+7 (sum of the 2 angles that you know)
5x+7
180-5x+7
-5x+173
What is the equation of the line that passes through the point (8,6) and has a slope of
{3}{2}
Answers
Justin has ridden 34 miles of a bike course. The course is 40 miles long. What percentage of the course has Justin ridden so far?
Answers
85%
Step-by-step explanation:Justin has ridden 34 miles out of 40 miles. This can be expressed as a fraction, 34/40.
If you carry out the division 34 ÷ 40, you get 0.85. This is the proportion of the course that Justin has ridden, and is always less than one. To convert this to a percentage, you multiply it by 100:
0.85 * 100 = 85%
WORTH 50 POINT + BRAINLIEST FOR GOOD ANSWER!!
Bob was accused of stealing chocolate from a chocolate factory, and was put on criminal trial in the state of Pennsylvania. If Bob were convicted, to which higher court could he appeal?
A. State court of appeals
B. Supreme Court of the United States
C. Federal appellate court
D. Bob is constitutionally protected from a second trial
BTW reason the subject ios math is because no one is helping me when I put other subject. :(
Answers
Answer:
. Bob is constitutionally protected from a second trial like its not possible that person who steals choclate get in to the jail
Answer:
i believe that it is d
Step-by-step explanation:
becuase if hes convicted of the crime he doesn't have to be on trial for it again
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided
What is the expression in factored form?
2x^2 + 16x + 24
Answers
Explanation : First, look for the common factor; use the sum-product pattern, then for the common factor from the two pairs, lastly, rewrite in factored form.
WILL GIVE BRAINLIEST!
Answers
Answer:
425
Step-by-step explanation:
225/24 then multiply the answer by 40
anyone willing to help??
Answers
Less than and equal to is closed or open
Answers
Answer:
less than is
<
Step-by-step explanation:
equal to is =
mark me as brainliest pls
List all the factors of 19. Tell whether 19 is prime or composite.
Answers
Answer:
19 is a prime number, thus making the only factors 1, 2, 19. (Not necessary to include 1)
Step-by-step explanation:
BRAINLIEST & 25 POINTS PLEASE HELP URGENT DUE IN 10 MINUTES.
A movie theater charges $8.00 for adults and $5.00 for children. If there were 40 people altogether and the theater collected $272.00 at the end of the day, how many
of them were adults?
A. 29 adults
B. 16 adults
C. 24 adults
D. 10 adults
Answers
Answer:
C) 24 adults
Step-by-step explanation:
Let A be the number of adults and C be the number of children.
If a ticket costs $8 per adult, we can express this as 8A
If a ticket costs $5 per child, we can express this as 5C
Combining the two expressions, we can write 8A+5C=272 as our first equation since the total amount of money collected is $272.
Our second equation would be A+C=40 since there are 40 people.
Now, we can take the second equation and write it as C=40-A so we can substitute the value of C into the first equation as 40-A so we only have to deal with one variable, the amount of adults that went to the theater.
The first equation now becomes 8A+5(40-A)=272 and is much easier to solve:
8A+5(40-A)=272
8A+200-5A=272
3A+200=272
3A=72
A=24
Therefore, there are 24 adults
Rewrite the equation in slope-intercept form. Then identify the slope and the y-intercept.
x + 3y = 6
Equation:
Slope:
Y-intercept (written as an ordered pair):
Answers
Please help me! Im a little bit stumped!
Answers
Answer:
2x+34=4x+20
14=2x
x=7
Step-by-step explanation:
So the answer is 7
Answer:
some bedmas laws you have to use
first do the 4(x+5) since its distubutive
you get 2x + 34 = 4x + 20 normally i like to keep x positive so i dont have to divide by -1 at the end so subtract 5 to the other side qnd subtract 2x to the other side and you get
2x= 14
x = 7 is the answer
i dont get it PLEASEE I NEED HELP
Answers
Answer:
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
D) after applying the distributive property, this evaluates to be 9y + 27 and due to the commutative property is the same as 27 + 9y
A) 9y + 9 ≠ 6y + 6
B) 9y + 9 ≠ 9y + 6
C) 9y + 27 ≠ 12 + 9y
Draw the image of AABC under a translation by 3 units to the left and 3 units down
Answers
this is an answer if u have somethin better go for it
Solve for x in the following inequality: 3(-2x - 4) > 18
Answers
Answer:
x < -5
Step-by-step explanation:
3 ( -2x - 4 ) > 18
→ Expand the brackets
-6x - 12 > 18
→ Add 12 to both sides
-6x > 30
→ Divide both sides by -6
x < -5
Answer:
[tex]\boxed {\boxed {\sf x< -5}}[/tex]
Step-by-step explanation:
We are asked to solve the following inequality for x.
[tex]3(-2x-4) > 18[/tex]
Solve for x by isolating it and performing the inverse operations.
3 is being multiplied by (-2x-4). The inverse operation of multiplication is division. Divide both sides of the inequality by 3.
[tex]\frac {3(-2x-4)}{3} > \frac{18}{3}[/tex]
[tex](-2x-4) > \frac{18}{3}[/tex]
[tex]-2x-4 > 6[/tex]
4 is being subtracted from -2x. The inverse operation of subtraction is addition. Add 4 to both sides of the inequality.
[tex]-2x-4+4 > 6+4 \\[/tex]
[tex]-2x > 10[/tex]
x is being multiplied by -2. The inverse operation of multiplication is division. Divide both sides by -2.
[tex]\frac {-2x}{-2} > \frac {10}{-2}[/tex]
[tex]x> \frac {10}{-2}[/tex]
Since we divided by a negative number, the inequality sign must be flipped.
[tex]x< \frac{10}{-2}[/tex]
[tex]x < -5[/tex]