Answers
Answer:
The first derivative of [tex]y = \sqrt{\frac{1-x}{1+x} }[/tex] is [tex]y' = -\frac{1}{(1-x)\cdot (1+x)^{3/2}}[/tex].
Step-by-step explanation:
Let [tex]y = \sqrt{\frac{1-x}{1+x} }[/tex]. we can determine its first derivative by Rule for the Square Root Function, Rule for Power Function, Rule of Chain and Rule for the Addition of Functions, Rule for the Subtraction of Functions, Rule for the Division of Functions:
[tex]y' = \frac{1}{2\cdot \sqrt{\frac{1-x}{1+x} }}\cdot \frac{(-1)\cdot (1+x)-(1)\cdot (1-x)}{(1+x)^{2}}[/tex]
[tex]y' = \frac{1}{2}\cdot \sqrt{\frac{1+x}{1-x} }\cdot \left[\frac{-1-x-1+x}{(1+x)^{2}} \right][/tex]
[tex]y' = \frac{1}{2}\cdot \sqrt{\frac{1+x}{1-x} } \cdot \left[-\frac{2}{(1+x)^{2}} \right][/tex]
[tex]y' = -\frac{1}{(1-x)\cdot (1+x)^{3/2}}[/tex]
The first derivative of [tex]y = \sqrt{\frac{1-x}{1+x} }[/tex] is [tex]y' = -\frac{1}{(1-x)\cdot (1+x)^{3/2}}[/tex].
Related Questions
Help pls I need it now
Answers
Answer:
a). 4 + 9x + 17 + 15x
b) 21 + 24x
Step-by-step explanation:
Here, we want to write expressions for the perimeter
Mathematically, this is the sum of the length of the sides
We have this as
a)
4 + 9x + 17 + 15x
b) = 4 + 17 + 9x + 15x = 21 + 24x
Monique bought 3 boxes of cereal at the grocery store. Each box of cereal costs c dollars. Which equation represents the total amount of money, t, Monique spent on cereal?
Answers
Answer:
3c = t
Step-by-step explanation:
3 cereal boxes is 3c and the total is t. so 3c = t
Answer:
3c = t
3 is the amount of boxes, c is the money, therefore, it is 3c=t, which means c times the number of boxes equals t
Question 1)
What is the rate of change of the linear relationship modeled in the table
Answers
Answer:
No
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
sorry
HELP FIND VALUE OF X
Answers
Answer:
72
Step-by-step explanation:
5a = 540 [ all interior angles r equal to 540 as "(n-2)x 180 (Interior ____________________________________________angle poperty )]
a= 540/5 = 108 (one interior angle)
x + a = 180 (linear pair)
x= 180 - a
x = 180 - 108 = 72
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Another way ::
Sum of Exterior angle = 360 (exterior angle property)
One exterior angle = x = 360 / 5 = 72 ( 360 by the number of sides )
I hope im right!1 Sorry if im wrong :((
Can someone explain this to me please will give brainliest
Bill's new porch is rectangular, with an area of 50 square feet. If the length of the porch is two times the width, what is the perimeter of the porch?
A.30
B.40
C.50
D.60
Answers
Tom drives 200 miles in 4 hours.
He drives the first 32 miles at an average speed of 64 mph
Work out his average speed for the rest of the journey, in mph.
Please help??
Answers
His average speed for the rest of the journey was of 48mph.
Elliott has 5 1/2 bags of birdseed.He uses 3 2/5 bags to feed the birds at the park.He puts the rest of the birdseed in the bird feeders in his yard.How much birdseed does Elliott put in the feeders in his yard?
Answers
Answer:
Elliott put 2.1 bags of birdseed in the feeders
Step-by-step explanation:
(5 1/2) - (3 2/5) = 2.1
I hope I helped! :)
Would appreciate Brainliest! ;)
If 48% of the students in a certain college are female and there are 2,400 female students, how many students are male?
Answers
Answer:
2,600 male students
Step-by-step explanation:
[tex]\frac{2,400}{0.48} = 5,000[/tex]
There are 5,000 students in total.
Since 2,400 of them are female, the remaining students must be male.
5,000 - 2,400 = 2,600 male students
Harold is designing a patio with congruent square concrete tiles. He has 72 tiles. Use grid paper to model all the possible rectangular patios Harold could build. Label the dimensions in units. Which patio has the greatest perimeter? The least perimeter?
Answers
Answer:
(a) The possible dimensions are:
1 unit by 72 units; 2 units by 36 units; 3 units by 24 units; 4 units by 18 units; 6 units by 12 units; 8 units by 9 units
(b): Patio with greatest and the least perimeter
The dimension with the greatest perimeter is: 1 by 72
The dimension with the least perimeter is: 8 by 9
Step-by-step explanation:
Given
[tex]Tiles = 72[/tex]
Solving (a): Possible rectangular models
To do this, we simply list out the possible factor pairs of 72.
So, we have:
1 unit by 72 units; 2 units by 36 units; 3 units by 24 units; 4 units by 18 units; 6 units by 12 units; 8 units by 9 units
Solving (a): Models with the least and the greatest perimeter
Perimeter (P) is calculated using:
[tex]P = 2 * (L + W)[/tex]
So:
1 unit by 72 units;
[tex]P = 2 *(1 + 72) = 146 units[/tex]
2 units by 36 units;
[tex]P = 2 *(2 + 36) = 76 units[/tex]
3 units by 24 units;
[tex]P = 2 *(3 + 24) = 54 units[/tex]
4 units by 18 units;
[tex]P = 2 *(4 + 18) = 44 units[/tex]
6 units by 12 units;
[tex]P = 2 *(6 + 12) = 36 units[/tex]
8 units by 9 units
[tex]P = 2 *(8 + 9) = 34 units[/tex]
From the calculations above:
The dimension with the greatest perimeter is: 1 by 72
The dimension with the least perimeter is: 8 by 9
statistics is a numerical value summarizing the sample date
true or false
Answers
Nick is on his school's swim team. During his 2-week winter break, he swims 30 laps each week to stay in shape. If each lap is 25 yards, how many feet does he swim during his winter break? Feet
Answers
Answer:
3900 feet
Step-by-step explanation:
Steps to answer this question
We are to convert yards to feet Multiply laps sum by two to determine the number of laps he swam in two weeksthen multiply figures gotten from 1 and 21 yard = 3 foot
25 yards = 25 x 3 = 65 foot
total yards swam = 30 x 2 = 60
60 x 65 = 3900
Ann is using a recipe that serves 20 people. The recipe requires 1/2 of a cup of sugar. How many cups of sugar does Ann need to serve 70 people with this recipe?
Answers
Answer:
Step-by-step explanation:
x/70=0.5/20
x=35/20
x=1.75
Ann will need 1.75 cups of sugar.
Round to 1 SF
0.00628
Answers
Answer:
0.006
Step-by-step explanation:
0.00628, has 3 significant digits. Rounding this number to 1 significant digit gives us 0.006
Hoodmemes~
please solve!! 2(x+1)=x-7
Answers
Answer: Solution
=
−
9
Step-by-step explanation:
Answer:
answer is x = -9
Step-by-step explanation:
2x+2=x-7
x= -9
Part B: What can be said of an individual with a body temperature of
98.4°F? Justify your answer.
I need help ASAP
Answers
Two length of two sides of a right triangle are given. Find the length of the third side. Round to the nearest tenth If necessary.
Leg: 28m; hypotenuse: 37m
Answers
Answer:
24.2
Step-by-step explanation:
Leg: 28m
Hypotenuse: 37m
To find the missing leg, use the following formula:
b = √[tex]c^{2} - a^{2}[/tex]
b = √[tex]37^{2} - 28^{2}[/tex]
b = √1369 - 784
b = √585
b = 24.18677
Round to the nearest tenth
24.18677 = 24.2
Solve for x, rounding to the nearest hundredth.
2^4x = 36
Answers
Answer:
5/4
Step-by-step explanation:
36 is the 5tf power of 2 so we can rewrite the equation as
[tex] {2}^{4x} = {2}^{5} [/tex]
Since the expressions has same base the powers must be equal to
4x = 5 and x = 5/4
Kiran has $100 saved in a bank account. (The account doesn’t earn interest.) He asked Clare to help him figure out how much he could take out each month if he needs to have at least $25 in the account a year from now.
Answers
He could take out $6.25 for each month and at the end $25 also left in his account.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the data given in the question,
The total amount Kiran is having in the bank = $100
He needs to have at least $25 in the account at the end of the year.
So, the money he can spend in a year = $100 - $25 = $75
1 year = 12 months
So, the amount of money spent per month will be,
75/12 = $6.25
To know more about expression:
https://brainly.com/question/14083225
#SPJ2
What value of y will make the equation true? The square root of 34 times the square root of y = 34
Answers
Marvin went on a shopping trip to Belleville. He purchased a grandfather clock originally
priced at $875 but discounted 60%. If sales tax in Belleville is 10%, what was the total cost?
Answers
Answer:
$385
Step-by-step explanation:
60% of $875 = $525
$875 - $525 = $350
10% of $350 = $35
$350 + $35 = $385
On subtracting 8 from -4, we get
Answers
Answer:
12
Step-by-step explanation:
Remember, when you add two same symbols, the outcome will be positive.
- + - = +
- + + = -
+ - + = +
+ - - = -
If the triangles are similar, what is the value of x? AlternativeText A. x = 16 B. x = 38 C. x = 42 D. x = 54
Answers
Answer: D. x = 54
Step-by-step explanation:
PLEAS HELP ASAP SOLVE BOTH PROBLEMS IM GIVING 80 POINTS! NO SPAM
answer format: just say a, b, c, or d for both questions; no explanation needed.
question 1:Which of the following is a pair of equivalent radical expressions?
A. √45 and 3√15
B. √75 and 3√5
C. √54 and 9√6
D. √180 and 3√20
Question 2: image attached.
Answers
Answer:
C
Step-by-step explanation:
Answer: C for the first one and B for the second one
Step-by-step explanation:
hope it helps you
The perimeter of a triangular field is 748 metres. The lengths of the three sides of the field are in the ratios 2 : 7 : 8. Calculate the length, in metres, of the largest side of the field.
Answers
The perimeter of a triangular field is 748 metres. The lengths of the three sides of the field are in the ratios 2 : 7 : 8. Calculate the length, in metres, of the largest side of the field.
=(864m)
Which planet in the chart is most likely Earth? Yeah
Does somone no the answer
Answers
Answer:
Kepler-452b has a probable mass five times that of Earth, and its surface gravity is nearly twice as Earth's, though calculations of mass for exoplanets are only rough estimates. If it is a terrestrial planet, it is most likely a super-Earth with many active volcanoes due to its higher mass and density.Step-by-step explanation:
help pleaseeee. this makes no sense
Answers
9514 1404 393
Answer:
x = 3.6
Step-by-step explanation:
It can be helpful to write down corresponding sides and their measures.
AB = 5, PQ = 6
BC = 3, QR = x
CD = 2, RS = 2.4
DA = 4, SP = 4.8
Then you can look for easy ways to find x. You can tell from this table that all of the values in PQRS are 6/5 = 1.2 times the corresponding values in ABCD.
Then ...
QR = 1.2×BC = 1.2×3
QR = x = 3.6
_____
Other ways you can figure x are ...
x/BC = PQ/AB
x = (BC)(PQ/AB) = 3(6/5) = 3.6 . . . . the method we used
__
x/RS = BC/CD
x = 2.4(3/2) = 3.6
__
x/SP = BC/DA
x = 4.8(3/4) = 3.6
HELP ME PLEASE!! I DON’T KNOW WHAT I’M DOING
Answers
41u+6
Sorry I don't really know anything about this subject.
What is the solution to the equation 9(x − 2) = 27? (1 point) x = 2.5 x = 0.5 x = −0.5 x = 3.5
Answers
Answer:
x = 5
Step-by-step explanation:
9(x - 2) = 27
9x - 18 = 27
+18 +18
9x = 45
/9 /9
x = 5
Penelope is going to invest $23,000 and leave it in an account for 11 years. Assuming
the interest is compounded continuously, what interest rate, to the nearest tenth of a
percent, would be required in order for Penelope to end up with $41,000?
Answers
Answer: r ≈ 5.3%
Step-by-step explanation:
Could someone please answer this question for me? (7x+1)+(−8x+2) This answer needs to be simplified. Thanks!
Answers
Answer:
-x + 3
Step-by-step explanation:
(7x+1)+(−8x+2)
7x + -8x + 1 + 2
-x + 3