Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not exist, enter DNE.)
Answers
Answer:
The answer is "0".
Step-by-step explanation:
Please find the correct question in the attached file.
Given value:
[tex]\to f(x) =\frac{x^2}{x^2+5}\\\\[/tex]
Formula:
[tex]\bold{\frac{d}{dx} \frac{u}{v} = \frac{ v \frac{du}{dx} - u \frac{dv}{dx}}{v^2}}[/tex]
[tex]\to f'(x) =\frac{(x^2+5) 2x -2x^3 (2x)}{(x^2+5)^2}\\\\\to f'(0) =\frac{(0^2+5)2(0) -4(0)^4}{(0^2+5)^2}\\\\\to f'(0) =\frac{(0)(5) -2(0)}{(5)^2}\\\\\to f'(0) =\frac{0 - 0}{(5)^2}\\\\\to f'(0) =\frac{0}{25}\\\\\to f'(0) = 0[/tex]
Related Questions
Adam’s weight to the nearest kilogram is 65 kg what is the greatest possible value of his weight
Answers
Answer:
65kg=143.30047 pounds and 1kg=2.20462262 pounds
Solve for x,
40x-5 = 115
Answers
Answer:
x=3
Step-by-step explanation:
1. Add 5 to both sides --> 40x=120
2. Divide 40 from both sides
3. x=3
Tessa measured an apartment and made a scale drawing. She used the scale 7 millimeters = 3 meters. What is the scale factor of the drawing? Simplify your answer and write it as a ratio, using a colon.
Answers
Answer:
7mm : 3000 mm ; 1 : 428 4/7
Step-by-step explanation:
Given that :
Given a drawing produced using a scale :
7 millimeters = 3 meters ; the scale factor for the drawing
Comparing units in millimeter and units on meter
1000 mm = 1 meter
Hence,
3000 mm = 3 meter
Then, we can say;
7 millimeters = 3000 millimeters
7mm : 3000 mm
Divide through by 7
1 : 428 4/7
I thought of a two-digit number. The unit digit of my number is 7 more than the tens digit cubed. What is my number?
Answers
Answer:
18
Step-by-step explanation:
The tens digit a is cubed (a³ ) still less than the biggest possible 1 -digit number . It can be only 0 or 1 , so even 2³ =8 ( in such case the unit digit is 15,- that's not possible) .
0 can not be the the first digit in 2 digit number. So the only possible tens digit is 1. So the unit number is 1+7=8.
Answer 18
Answer:
18
Step-by-step explanation:
Sequence: 49, 36, 25, 16, 8, 4, 1 * Is this a arithmetic or geometric sequence? and if it is arithmetic find the common difference and if it is geometric find the common ratio? and please do not give me a stupid answer only smart people answer this if you know the answer to this you are smart.
Answers
Answer:
Step-by-step explanation:
The sequence is nor properly written. This is correct sequence
49, 36, 25, 16, 9, 4, 1...
Merely looking at the sequence, we can see that it doesn't form an arithmetic sequence nor does it form a geometric sequence.
The values of the sequence are all perfect squares.
Rewriting the sequence;
7², 6², 5², 4², 3², 2², 1²...
Now we can see that the base values for an arithmetic sequence as shown:
7, 6, 5, 4, 3, 2, 1...
We find the common difference of this sequence as shown
d = T2-T1 = T3-T2 = T4-T3
Given T1 = 7, T2 = 6, T3 = 5, T4 = 4
Substitute
d = 6-7 = 5-6 = 4-5 = -1
d = -1
Get the nth term using the sequence
Tn = a+(n-1)d
a is the first term
d is the common difference
n is number of terms
Tn = 7+(n-1)(-1)
Tn = 7+(-n+1)
Tn = 7+1-n
Tn = 8-n
Since their power are constant i.e squared, hence we will square the ntj term as well to get the nth term of the original sequence as;
Tn = (8-n)²
To conclude, we can say that the sequence is neither arithmetic nor geometric sequence since the terms of the sequence are prefect squares.
What place value is the 5 in the following number, 123.465? earn 100 points!!!
Answers
Answer:
it will be in the thousands place for sure
Step-by-step explanation:
hope that helps =) i forgot there were a decimal point
Answer:
The place value of 5 in "123.465" is the thousandths
Step-by-step explanation:
The reason for this is because the "5" is 3 points behind the decimal, making it in the thousanths place.
When graphing a polynomial function, what determines what the graph will look like at the far left side? Explain your answer.
Answers
Answer:
2
Step-by-step explanation:
this will help i think this will be the answer i am not sure
Find the rate of increase:
Original amount: $2000
Final amount: $3000
Answers
Answer:
21
Step-by-step explanation:
Answer:
67%
Step-by-step explanation:
the original amount had to increase by 67% in order to equal the final about simply by dividing 2000 by 3000 getting 2/3 which is 0.666667 then multiplying by 100 to get a rate
Your new car drives 220 miles on 8 gallons of gas,
The car's MPG is
Will mark brainliest Simone please help
Answers
Answer:27.5
hope it helped can I have brainliest?
Step-by-step explanation:
Model a desert community where 48% of the area is covered with houses. Place houses on of the 100 squares to represent or 48% houses.
Answers
Answer:
100
Step-by-step explanation:
Answer:
Place houses on
48
of the 100 squares to
represent
48/100
or 48% houses.
A square patio has an area of 135 square feet. How long is each side of the patio to the nearest tenth?
Each side of the patio is approximately
feet long.
Answers
Question:
7x^2 + 8x = x^2
Answers
Answer:
x1= -4/3 and x2= 0
Step-by-step explanation:
find the sum of 2x ÷ x-1 and x÷x-1
Answers
Answer with step-by-step explanation:
First of all, ORDER OF OPERATIONS!! 2x/x is 2/1, which is 2. Then, subtract 1, which is 1.
2x ÷ x - 1 = 1
Same thing: x/x = 1. Subtract 1 from 1, which is 0.
x ÷ x - 1 = 0
1 + 0 = 1
Hope this helped!
Its late and i need this pls
Gretchen made a paper cone to hold a gift for a friend. The paper cone was 11 inches high and had a radius of 4 inches. Find the volume of the paper cone to the nearest tenth. Use 3.14 for π.
The volume is ___in^3
Answers
Answer:
184.2 in^3
Step-by-step explanation:
vol of cone=
[tex]\pi {r}^{2} \frac{h}{3} [/tex]
[tex]3.14 \times 16 \times \frac{11}{3} [/tex]
=184.2
Which of the following lists of ordered pairs is a function?
(-1, 2), (2, 3), (3, 1), (2, 5)
(1, 2), (4, 0), (3, 5), (4, 3)
(2, 5), (3, 6), (6, 9)
(2, 5), (3, 6), (2, 1)
Answers
Answer:
[tex](2,5), (3,6), (6,9)[/tex]
Step-by-step explanation:
Because the abscissa does not repeat with different ordinate (well, there's actually no repeating abscissa)
Answer:c
Step-by-step explanation:
natalie budgets $150 for yoga training but doesn’t want to spend all of that money. She buys a yoga mat for $10 and spends $9 per day on yoga classes. Which inequality represents the number of day,d, that Natalie can take classes and stay under (less than) her budget?
Answers
Answer:
A
Step-by-step explanation:
Answer:
A) I hope I helped you ◉‿◉
Write the following as an inequality. 9 is greater than x, and 3 is less than x Use x only once in your inequality. also please understand that two people need to answer the question for me to give brainiest, and yes once two people answer I will choose brainliest for whoever is correct
Answers
Answer:
9>x>3
Step-by-step explanation:
the open side always faces the greater value
Evaluate the expresions -8-14÷2+5
Answers
Answer:
-10
Step-by-step explanation:
Answer:
-10
Step-by-step explanation:
I need help the instructions say go left to right
Answers
B would go to 3
C would go to 2
D would go to 1
10 Given a || b. Find the value of z that makes ; || k.
Turned in
+27)
id document
(4:+3y)
N
submit
57
**/y+ :)
z=228
z=11.25
2 = 17.25
2= 48
Answers
maybe try quizzlet that would really help i swear
I need help please thanks
find x when y = 18, if y = 9 when x = 8
ASAP PLEASE
Answers
so
y=9 -> y=18
*2
x=8 -> x=16
*2
so x = 16
Answer:
the only logical way solving this question is:
if y=9 then x=8
if y=18 then x should be 16
Step-by-step explanation:
I cant find any other way to solve
B^2 + 11b + 18 ( Factor the question)
Help please!
Answers
................................
Answer:
=b^2+(9+2)b+18
=b^2+9b+2b+18
=b(b+9)+2(b+9)
=(b+9)(b+2)
Delisa Corporation has two divisions: Division L and Division Q. Data from the most recent month appear below:
Total Company Division L Division Q
Sales $ 577,000 $ 158,000 $ 419,000
Variable expenses 347,300 104,280 243,020
Contribution margin 229,700 53,720 175,980
Traceable fixed expenses 124,110 38,710 85,400
Segment margin 105,590 $ 15,010 $ 90,580
Common fixed expenses 70,310
Net operating income $ 35,280
The break-even in sales dollars for Division Q is closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$318,530
$203,333
$268,466
$459,400
Answers
Answer:
$203,333
Step-by-step explanation:
Computation for the break-even in sales dollars for Division Q
First step is to compute the Segment Contribution Margin ratio
Using this formula
Segment Contribution Margin ratio = Segment contribution margin ÷ Segment sales
Let plug in the formula
Segment Contribution Margin ratio= $ 175,980÷ $ 419,000
Segment Contribution Margin ratio= 0.42
Last step is to find the break-even in sales dollars for Division Q using this formula
Break-even in sales dollars = Segment traceable fixed expenses ÷ Segment Contribution Margin ratio
Let plug in the formula
Break-even in sales dollars= $85,400÷ 0.42
Break-even in sales dollars=$203,333
Therefore the break-even in sales dollars for Division Q is $203,333
Xis normally distributed with mean 1,000 and standard deviation 250. What is the probability that X lies between 800 and 1, 100?
Answers
Answer:
0.4435
Step-by-step explanation:
Given that :
X is normally distributed:
mean(m) = 1,000
standard deviation (s) = 250
probability that X lies between 800 and 1,100?
Using the relation :
X = 800
Zscore = (x - m) / s
Zscore = (800 - 1000) / 250
Zscore = - 200 / 250
Zscore = - 0.8
P(Z ≤ - 0.8) = 0.2119
X = 1100
Zscore = (x - m) / s
Zscore = (1100 - 1000) / 250
Zscore = 100 / 250
Zscore = 0.4
P(Z ≤ 0.4) = 0.6554
P(Z ≤ 0.4) - P(Z ≤ - 0.8)
0.6554 - 0.2119
= 0.4435
Toby works at an amusement park. He loads 10 new passengers onto the roller coaster every
3/4
of a minute. At what rate does Toby load passengers?
Pleaseeee
Answers
Answer:
13 1/3
Step-by-step explanation:
im sure this is right btw
u/5 =13/7 solve for u
Answers
Answer:
u = 65/7
Step-by-step explanation:
u/5 = 13/7
Using the cross product
7u = 5*13
7u = 65
Divide each side by 7
7u/7 = 65/7
u = 65/7
What is -9.5-(-8)-6.5 show your work step-by-step.
Answers
Answer:
-8
Step-by-step explanation:
-9.5-(-8)-6.5 There are two negatives next to each other, so it's a positive.
-9.5+8-6.5 We want to use the order of operations, so first we can add.
-9.5+8=-1.5 The problem now looks like...
-1.5-6.5 Finally, just subtract.
-8 8 is your answer!!
I hope this helped you...have a wonderful day c:
Given f(x)=18x +8, find x when f(x) =14
Answers
Answer:
x=1/2 or x=0.5
Step-by-step explanation:
14=18x+8 so 18x =6 so x=1/2
Answer:
x = 1/3
Step-by-step explanation:
14 = 18x + 8
Subtract 8 from both sides.
6 = 18x
Divide both sides by 18.
6/18 = x
Simplify.
1/3 = x
The sweet shoppe sells a half dozen cupcake for $16.50. The cupcake factory sells a dozen cupcake for $30.00. Jameska purchases two cupcake from each shop what is the different in the purchases
Answers
Answer:
1.50 is the answer
Step-by-step explanation:
yeah I had it on a question yw
Answer:
eggffdf
Step-by-step explanation:
sfdsffgfddfdkkhsdghskjgfhjgdfjhdgdhdsdfh
If RX = 4 and XS = 9, then XT =
Answers
(RX + XS)^2 = (RT)^2 + (ST)^2
=> (4+9)^2 = (RT)^2 + (ST)^2
=> 13^2 = (RT)^2 + (ST)^2 .....equation (1)
Triangle RTX and XST are also right triangles.
RT is the hypotenuse of RTX and ST is the hypotenuse os SXT.
Then, (RT)^2 - (RX)2 = (TX)^2 and (ST)^2 - (SX)^2 = (TX)^2
=> (RT)^2 - (RX)^2 = (ST)^2 - (SX)^2
=> (RT)^2 - (ST)^2 = (RX)^2 -(SX)^2
=> (RT)^2 - (ST)^2 = 4^2 - 9^2 = 16 - 81 = - 65
=> (ST)^2 - (RT)^2 = 65 ..........equation (2)
Now use equations (1) and (2)
13^2 = (RT)^2 + (ST)^2
65 = (ST)^2 - (RT)^2
Add the two equations:
13^2 + 65 = 2(ST)^2
2(ST)^2 =178
(ST)^2 = 234/2 = 117
Now use (ST)^2 - (SX)^2 = (TX)^2
=> (TX)^2 = 117 - 81 = 36
=> (TX) = √36 = 6