Answers
[tex]e^{x^2y} - e^y = e^y(e^{x^2} - 1) = x[/tex]
We should ISOLATE x
[tex]e^y= \frac{x}{e^{x^2} - 1}[/tex]
Find the Natural Log of Both Sides to Make the Left Side "y"
[tex]y = ln(\frac{x}{e^{x^2}-1})[/tex]
Now, FIND THE DERIVATIVE Using Chain Rule!!!
[tex]y' = \frac{1}{\frac{x}{e^{x^2}-1}} * \frac{(1(e^{x^2}-1) - x(2x*e^{x^2})}{(e^{x^2}-1)^2}= {\frac{e^{x^2}-1}{x}}* \frac{(1(e^{x^2}-1) - x(2x*e^{x^2})}{(e^{x^2}-1)^2} = {\frac{1}{x}}* \frac{(1(e^{x^2}-1) - x(2x*e^{x^2})}{(e^{x^2}-1)} = {\frac{1}{x}}* \frac{(e^{x^2}-1 - 2x^2e^{x^2})}{(e^{x^2}-1)}[/tex]
Related Questions
There are 300 light bulbs lined up in a row in a long
room. Each bulb has its own switch and is currently
switched off. Each bulb is numbered consecutively from
1 to 270. You first flip every switch. You then flip the
switch on every second bulb(turning off 2, 4,6. ). You
then flip the switch on every third bulb (3, 6,. ). This
continues until you have gone through the process 300
times.
And how many of the light bulbs are illuminated now?
Answers
Flipping the bulbs is an illustration of sequence and patterns
17 bulbs would remain on.
How to determine the number of bulbs that will be on?The sequence of turning the bulbs off and on, would change the state of the bulbs until the 300th process.
While changing the state of the bulbs, the bulb at the perfect square positions would remain on.
There are 17 perfect square numbers between 1 and 300 (inclusive)
Hence, 17 bulbs would remain on.
Read more about sequence and patterns at:
brainly.com/question/26698448
what is two x squared minus five x equals zero
Answers
Answer:
4/5 = x
0.8 = x
Step-by-step explanation:
2^2 - 5x = 0
first, we must solve for exponents, as per PEMDAS.
4 - 5x = 0
4 = 5x
4/5 = x
or x = 0.8
Answer:
x = 0
x = -5/2
Step-by-step explanation:
2x squared + 5 = 0
x (2x + 5) = 0
therefore...
x = 0
and
2x + 5 = 0
2x = - 5
x = -5/2
What are the solutions for x when y is equal to 0 in the quadratic function
y= x2 – 8x?
Answers
If f(x) = 5x +5, which of the following is the inverse of f(x)?
=
=
(x)
3
(x+)
O A. F'(x) = 5*55
-(
O B. F'(x) = 36445)
f-
O c. f'(x) = 5(x+5)
-=
O D. +++(x) = 34,553
f-
5
3
(-)
Answers
Answer: D
Step-by-step explanation:
Which of the following describes the y-intercepts of the two functions?
Answers
Answer:
The y intercept of Function A is the same as the y intercept as function B
Step-by-step explanation:
they both have a y intercept of 2
y = mx + b
b is the y intercept
in the table all you have to look for is when x is 0
What is the answer to f(0)=(x-3)'2?
Answers
It’s one of these
How do you find the volume of a rectangular prism?
Answers
Answer:
V = w h l just multiply the length times width times height
When simplifying expressions that involve many exponent properties, how do you decide what to do first?
Answers
first (...), after √ and squares from left to right then from left to right . and : and lastly + and -
PLEASEE HELP WILL GIVE BRAINLIEST
Given the following polynomial, state the Degree, Leading Coefficient, and Constant.
f(x) = 4x^5 + 5x^3 + x^2 +11
Answers
Answer:
see explanation
Step-by-step explanation:
Given
f(x) = 4[tex]x^{5}[/tex] + 5x³ + x² + 11
The degree of the polynomial is the value of the largest exponent
Th term with the largest exponent is [tex]x^{5}[/tex] with exponent 5
Thus the degree of the polynomial is degree 5
The leading coefficient is the numeric coefficient of the leading term in standard form.
The leading term is 4[tex]x^{5}[/tex] with leading coefficient of 4
The constant term is the term with no variable attached.
The constant term is therefore + 11
Question 1: Explain why x = 5 makes 2x_< 10 true but not 2x < 10?
Answers
Answer:
if the first example is using the less-than sign with a line under it for less than or equal too then it is true because 2*5 would EQUAL TO OR LESS THEN ten. The second example says that 2*5 would be LESS THEN ten
Step-by-step explanation:
How many different ways could I order the books on my shelf?" I have enough room for 11 of my 31 books. How many different ways could I order 11 books on my bookshelf?
Answers
Answer:
31 divided by 11 in my smartest choice
Step-by-step explanation:
A middle school held a Career Exploration Day where students could choose to hear an adult talk about his or her career. 15 students went to hear the doctor speak, and 21 students went to other sessions.
What is the probability that a randomly selected student went to hear the doctor?
Answers
Answer:
5/12
Step-by-step explanation:
15 students went to hear the doctor speak and 21 students went to other sessions
How many students are there? 15 + 21 = 36 students
Therefore, the probability to randomly select a student that went to hear the doctor is [tex]\frac{15}{36}[/tex], then simplifying it by 3 is [tex]\frac{5}{12}[/tex].
If we want to express it in percentage it would be 41.6%
For which values of c does the quadratic equation x^2-2x+c=0 Two roots of opposite signs
Answers
Answer:
-2
Step-by-step explanation:
The value of c is -4, therefore the additive inverse should be added to get the answer 0
The roots of the quadratic equation x² – 2x + c = 0 are a and –b. Then the value of c is a² – 2a.
What is a quadratic equation?It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
For which values of c does the quadratic equation
x² – 2x + c = 0 ...1
Two roots of opposite signs
Let the two roots of the opposite signs be a and –b
x = a, –b
Then we have factorized the equation,
(x + b)(x – a) = 0
On solving, we have
x² + (b – a)x – ab = 0 ...2
In comparing equation 2 with equation 1, we have
⇒ b – a = –2
⇒ b = –2 + a
and
⇒ c = a(a – 2) = a² – 2a
More about the quadratic equation link is given below.
https://brainly.com/question/2263981
hii i need help with a geometry problem. i'll mark you brainliest!! please please help i really need to solve this.
Answers
Answer:
∠ ABC = 81° , ∠ FEC = 90°
Step-by-step explanation:
Since AB ≅ BC then Δ ABC is isosceles.
The median BE is therefore
The angle bisector of ∠ ABC and
BE bisects AC at right angles.
Thus
∠ ABE = ∠ CBE = 40° 30' , then
∠ ABC = 2 × 40° 30' = 81°
Since BE is perpendicular to AC then
∠ FEC = 90°
how many solutions does x(x+2)=0
Answers
Answer:
Two solutions
Step-by-step explanation:
x(x+2)=0 has two solutions.
x(x+2)=0
x² + 2x = 0
The "x²" can be a good indicator there will be two solutions since it is being "squared" and is been risen to the power of two.
-> We can also see this with graphing, see attached
-> Need to know the solutions? We can find them by solving for looking at the graph, they are x = -2, 0
Explain how the Quotient of Powers Property was used to simplify this expression. 5 to the fourth power, over 25 = 5^2
Answers
exponent subtract when numbers with exponents are divided
25 is 5^2
5^4/5^2 = 5^2
5^4 = 625
5^2 = 25
625/25 = 25
5% of a number is 231%of the same number is 4. 6work out 16%of the number
Answers
Answer:
23
Step-by-step explanation:
Generalize the patterns you noticed in part D to create a rule or identity to describe those patterns. For example, if you notice that every time you multiply a negative number by another negative number the result is positive, we can generalize this by saying (-a)(-b) = c, where a, b, and c are all positive real numbers.
Answers
I know it is probably to late for your answer but if you are on Solving and Reasoning with Complex Numbers: Tutorial in Edmentum, then the answer for part D on the first lesson activity is this word for word.
This equation generalizes the patterns seen in part D, where a and b represent real numbers:
(a + bi)(a − bi) = a2 + b2.
Hope this helps good luck
What is the value of x?
Answers
x=32 degrees
Step-by-step explanation:
Angles in equilateral triangles are equal, each angle is 60 degrees
2x-4 =60
+4
2x = 64
÷2
x = 32
Also, y will be 12 (12x5=60)
Hope this helps!
Calculate the monthly payment for a loan of $7,500 with an 11% interest rate compounded monthly over a period of 5 years.
Answers
Answer:
Option b - $163.07
Step-by-step explanation:
Given : A loan of $7,500 with an 11% interest rate compounded monthly over a period of 5 years.
To find : Monthly payment
Solution : Formula to find monthly payment
Monthly Payment = Amount / Discount factor
Discount factor
where ,
Amount = $7500
Rate= 11%=0.11
Time = 5 years
Now, put i and n in Discount factor ,
Monthly payment,
Therefore, Option b is correct monthly payment = $163.07
Answer:
The answer is $163.07
Step-by-step explanation:
To find the monthly payment:
[tex]i = \frac{0.11}{12} = 0.0091[/tex]
Time = 5 years
5 x 12 = 60
Discount factor
[tex]D = \frac{1-(1 + i) -^{n}}i[/tex]
[tex]D = \frac{1 - (1+ 0.009)-^{60} }{0.009} \\[/tex]
[tex]D = \frac{0.421}{0.009} = 46.77[/tex]
Monthly payment
[tex]\frac{7500}{46.77} = $163.07[/tex]
Which linear inequality is represented by the graph?
y ≤ One-thirdx − 1
y ≥ One-thirdx − 1
y 3x − 1
Answers
Answer:
B
Step-by-step explanation:
Answer: B or y ≥ 1/3x − 1
Step-by-step explanation:
Got it right Edge 2020
The temperature inside my refrigerator is about 40 ◦Celsius. If I place a balloon in my fridge that initially has a temperature of 220 °C and a volume of 0.5 liters, what will be the volume of the balloon when it is fully cooled by my refrigerator? Using Charles' Law
Answers
Answer:
The volume of the balloon when it is fully cooled by my refrigerator is
2.75liters
Step-by-step explanation:
we are expected to apply Charles law in this problem and solve for the final volume V2
the expression for Charles law is give as
V1/T1=V2/T2
given data
V1, first volume = 0.5 liters
V2, second volume =?
T1, first temperature = 40 ◦Celsius.
T2, second temperature =220 °C
applying the formula we have
0.5/40=V2/220
V2=(0.5*220)*40
V2=110/40
V2=2.75liters
Part D In the scale drawing, what will the length of the west side of the backyard be?
NEED HELP ASAP WILL GIVE BRAINIST TO BEST AWNSER
Answers
Answer: answer witten in the picture attached to this......
what is the square centimeters of a figure with 9cm 6cm 6cm 8cm 3cm 14cm
Answers
What are the roots of the equation 9x2 – 36x +37
O in simplest a + bí form?
Answers
Answer:
x = 2+1/3i or 2-1/3i
Step-by-step explanation:
The equation of interest can be written in vertex form as ...
9(x -2)² +1 = 0
so its solutions can be found by subtracting 1, dividing by 9, taking the square root, then adding 2.
x = 2 ± √(-1/9)
In the desired form, the zeros of the given expression are ...
x = 2 +1/3i or 2 -1/3i
Please help me find the y-intercept and slope from these two-word problems. ANd tell me if they're proportional and negative or not.
Answers
Answer:
for the 1st one, m=10 and b=2 because from the word problem it says it starts at 10 which would be 10 on the y axis being where the line would pass through and spending 2 a week would be the slope because he is losing 2 per week its a negative slope so y=10x-2.
for the second one m=48 and b=44 its just like the last one but with different numbers but comment if you want me to explain it but the answer is y=48x-44.
Please help! Select the graph for the solution of the open sentence. |x| < 1
Answers
Answer:
The First Graph. (-1 and 1 are connected to each other and have open holes)
Step-by-step explanation:
It is the first graph because we are taking the absolute value of x. If we were to plug in -2, we would result in the absolute version, which is 2. There are open holes at the end of the line segment because |x| is less than 1. If we were using greater than or equal to or less than or equal to, then they would be closed holes.
f(x)=1/3x-4 is it linear or exponential?
Answers
Answer:
Linear
Step-by-step explanation:
since the x value has no exponent to it, and is simply on its own, it is linear
Identify the property demonstrated.
4(3 + 5) = 4 • 3 + 4 • 5
Answers
Answer: Distributive Property
Step-by-step explanation:
what is the answer for thiss please helpp
3-2x<1
Answers
Answer:
x > 1
Step-by-step explanation:
3 - 2x < 1
- 2x < 1 - 3
- 2x < - 2
Divide - 2 on both sides,
- 2x / - 2 > - 2 / - 2
x > 1
Answer:
x>1
Step-by-step explanation:
3-2x<1-2x<1-3-2x<-2x>-2/-2[Sign alter because dividing by negative number]Hence, x>1