should i use dy\dx (normal differentiation) or d²y\dx² (differentiation of the differentiation)?
Answers
Use both!
You want to minimize P, so differentiate P with respect to x and set the derivative equal to 0 and solve for any critical points.
P = 8/x + 2x
dP/dx = -8/x² + 2 = 0
8/x² = 2
x² = 8/2 = 4
x = ± √4 = ± 2
You can then use the second derivative to determine the concavity of P, and its sign at a given critical point decides whether it is a minimum or a maximum.
We have
d²P/dx² = 16/x³
When x = -2, the second derivative is negative, which means there's a relative maximum here.
When x = 2, the second derivative is positive, which means there's a relative minimum here.
So, P has a relative maximum value of 8/(-2) + 2(-2) = -8 when x = -2.
Related Questions
870.497 ÷ 0.823=?
round your answer to the nearest whole number
Answers
Answer:
870.497 ÷ 0.823=1.057 so to the nearest whole number it would be 1
Step-by-step explanation:
cause 0-4 numbers are rounded down
1057.712 which is the closest number would be 1058
Explanation:
1. You have to convert the decimal into a fraction by dividing it by 1000
2. To divide be a fraction, multiply by the reciprocal of that fraction. You going to flip the the second term which it’ll be 1000/823
3. Then you going to cross the 1000 because it’s the greatest common factor. It’s gonna be (870497x 1/823)
4. Lastly, you going to calculate that equation and it’s gonna be ( 870497/823)
Hope I could explain good. I’m a bad explainer
Bruno‘s mother is eight more than twice his age. His father is three years older than his mother is. If all three members have lived a total of 94 years, how old is each family member?
Answers
Answer:
Bruno = 15 years
Mother = 8 + 2(15) = 38 years
Father = 38 + 3 = 41 years
Step-by-step explanation:
Given that :
Let
Bruno's age = x
Mothers age = 8 + 2x
Father's age = 8 + 2x + 3 = 2x + 11
x + 8 + 2x + 2x + 11 = 94
5x + 19 = 94
5x = 75
x = 75 /5
x = 15
Bruno = 15 years
Mother = 8 + 2(15) = 38 years
Father = 38 + 3 = 41 years
andy has 901 cards for a big game if he gives away 789 how much does he have left
Answers
Answer:
the answer is 112
Step-by-step explanation:
901-789=112
len won a gift card for 100 cups of tea
Answers
Answer:
what is the question?
Step-by-step explanation:
Answer: nice going Len
Step-by-step explanation:
What's he gonna do with all the tea
2x 1/2 x3 2/3 im goin to be need a lot of helpppp
Answers
Answer:
3.66666666667
or
3.67(rounded to the nearest tenth)
Step-by-step explanation:
2x 1/2 x3 2/3 = 3.66666666667
Ace Carlos
Developer
Answer:
=3 2/3
Step-by-step explanation:
2 x 1/2 x 3 2/3
2 x 1/2 = 2/2 = 1
1 x 3 2/3
=3 2/3
The US spends on average 10,200 dollars on each student per year. There are about 77,000,000 students in the United States. How much money is spent on students each year? Write your answer in scientific notation first.
Answers
Answer:
10700 to the 7 power ould be your answer
Step-by-step explanation:
10700
Find the value of x.
(3x - 2)°
(10x - 11)
(3x + 1)
X=
Answers
90
x
3
−
129
x
2
+
13
x
+
22
Uh yes I’m sorry I am just trying to get answers
Prognogg
Zoe found 13 large
seashells at the beach.
Evan found 12 and Layla
found 9. If they share them
equally, how many will
each get?
Answers
34%3= 11.3
Eighteen subtracted from half of a number (In an algebraic expression)
Answers
Answer:
1/2x-18
Step-by-step explanation:
18 subtracted from half of a number
We assume that the "number" is x
so 1/2x is the half of a number
We now need to have 18 subtracted from that so 1/2x-18
Maria's plant grew 3 1/4 inches every month for 2 1/2 months. How many inches did Maria's plant grow during that time?
Answers
Answer: 8.125 inches
Step-by-step explanation: Ok so if the plant grew 3.25 inches every month, and there were 2.5 months, you need to multiply 3.25 by 2.5 to get the total amount of growth. So that would be 8.125
Taylor says ABCD and EFGH are congruent because he can map ABCD to EFGH by multiplying each side length by 1.5 and translating the result to coincide with EFGH. What is Taylor's error?
Answers
Answer:
The E came before H
Step-by-step explanation:
Jennifer is buying a new dress for the school dance. The dress is marked 34.50$ and there is a sales tax of 6 1/2% what is the tax that jennifer must pay
Answers
1%=0,345
6,5*0,345=$2,2425
Dillon pays x dollars to get a haircut. He gives the stylist a
20% tip. The expression representing his total cost is x +
0.2x.
Which expression is equivalent and why?
O A. (0.2) because the cost of the haircut can be factored out.
B. 1.02x because adding 20% to the cost of the haircut is the same
as multiplying the cost by 1.02.
C. 1.2x because adding 20% to the cost of the haircut is the same as
multiplying the cost by 1.2.
D. 1.2x because adding $20 to the haircut is the same as multiplying
the cost by 1.2.
Answers
Answer:
it is c
Step-by-step explanation:
Answer:C.
Step-by-step explanation:
Ape x
You are school supply shopping in together as a package of six pencils for $2.70 how much does each pencil cost
Answers
Answer:
0.45 cents
Step-by-step explanation:
We know that 6 pencils = $2.70, so to find out the price of 1 pencil we just divide $2.70 by 6.
2.70 ÷ 6 = 0.45
Therefore each pencil costs $0.45
I hope this helps, have a great day! :)
George records the number of questions he has answered on DFM per day over 14 days, and puts the data in the bar chart below.
Find the total number of questions.
Answers
Answer:
18 is the total number of questions George answered in 14 days.
Step-by-step explanation:
The given chart:
The x-axis is showing the total number of questions George answered The y-axis is showing the frequency of days on which George answered the questions.The given chart is showing that:
George answered the 5 questions on the first 4 days;George answered the next 6 questions on the next 5 days;George answered the next 7 questions on the last 5 days';Hence, the total questions he answered will be:
5 + 6 + 7 = 18
Therefore, 18 is the total number of questions George answered in 14 days.
Keesha will mow grass for $8 per hour write in standard form
Answers
Answer: y = 8x
Step-by-step explanation:
Please Help!!!!!!!!!!!!!!!!!
Carlo is building a wooden box that is shaped like a cube. He wants the box to have a volume of 64 cubic inches. How many square inches of wood does Carlo need to build the box?
Answers
Answer:
Area of wood required = 96 in²
Step-by-step explanation:
Since volume of a cube = Length × Width × Height
64 = (Side)³
Side = 4 inch
Area of the wood required to build a wooden box = Surface area of all 6 sides of the cube
= 6(Area of one side of the box)
= 6(Side)²
= 6(4)²
= 96 inch²
Therefore, 96 square inches of wood will be required to build the wooden box.
Answer:
Step-by-step explanation:
1. The length of one edge of the box is 4 inches due to the 64 cubic inches being 4 x 4 x 4 with all sides being equal.
2. The area of a face of the box is height x width, therefore 4 x 4 = 16 inches squared .
3. The total area of all faces is the answer from part 2 x all faces of a box, which is 6; therefore 6 x 16 = 96 inches squared.
4. Carlos needs 96 square inches of wood to build his box.
Solve for t in the equation
Answers
Answer:
t=1/5=0.2
Step-by-step explanation:
(5t+3)/4=1
5t+3=4
5t=1
t=1/5=0.2
Answer:
1/5
Step-by-step explanation:
5t+3/4=1
5t+3=1*4
5t+3=4
5t=4-3
5t=1
t=1/5
2(2-x) =4(-2+x)
What’s the answer?
(With work please)
Answers
Answer: x=2
Step-by-step explanation: Step 1: Simplify both sides of the equation.
2(2−x)=4(−2+x)
(2)(2)+(2)(−x)=(4)(−2)+(4)(x)(Distribute)
4+−2x=−8+4x
−2x+4=4x−8
Step 2: Subtract 4x from both sides.
−2x+4−4x=4x−8−4x
−6x+4=−8
Step 3: Subtract 4 from both sides.
−6x+4−4=−8−4
−6x=−12
Step 4: Divide both sides by -6.
−6x
−6
=
−12
−6
x=2
Only one more to go. Thank you victoria so much for helping me I really appreciate it like really you are a angel.☺️
Answers
Divide. Write your answer as a fraction or mixed number in simplest form.
10 • 3 3/4
Answers
Answer:
37 1/2
Step-by-step explanation:
before you multiply you fractions you would have to change the mixed number into a improper fraction and then multiply your fractions together. once that is dont you would multiply they numerator straight across and multiply the denominator straight across. once that is done your answer should come out as 150/4 but that is a improper fraction and you have to change it into a mixed number which would be 37 2/4 but that can be simplified by 2 and once you simplify it your final answer would come out to be 37 1/2.
The required solution to the given expression is 37 1/2 in mixed number form.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation.
To determine the evaluation of expression 10 ÷ 3 3/4
When considering multiplying your fractions together, you would need to convert the mixed number into an improper fraction. After that, you would multiply the denominator across and the numerator across, respectively. Your final answer should be 150/4 after that, but since it is an improper fraction, you must convert it to a mixed number, which is 37 2/4. However, if you simplify it by 2, your final answer will be 37 1/2.
Thus, the required solution to the given expression is 37 1/2 in mixed number form.
To learn more about the division operation click here :
brainly.com/question/25870256
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Help me pleaseeeeeeeeeeee
Answers
Answer:
slope = [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, 2) and (x₂, y₂ ) = (1, 6)
m = [tex]\frac{6-2}{1+4}[/tex] = [tex]\frac{4}{5}[/tex]
rohit has two pieces of ribbon pices one 20cm long and other 65 cm long .he wants to cut them into smaller pices of equal length for craft project in such a way thaty no ribbon is left.
Answers
Nora read 1/9 of a book on Monday and 2/5 on Tuesday. What fraction of the book does she have left to read
Answers
Answer:
Step-by-step explanation:
On Monday, Nora read ¼ of the book, therefore she is left with ¾ of the original book.
Then on Tuesday, she read 2/5 of what was left on Monday therefore she is left with 3/5 of ¾ of the original book. This is equal to:
(3/5) (3/4) = 9/20
She still needs to read 9/20 of the book or 0.45 or 45% of the book.
............ help lost of points available
Answers
Answer:
c
Step-by-step explanation:
combine like terms -3.6-1.9t+1.2+5.1t
Answers
Ali, ben and Cathy share an amount of money in ratio 6:9:10 what fraction of the money does ben get?
Answers
Answer:
Step-by-step explanation:
Let's do an example.
60:90:100
100 plus 90 plus 60 is 250
ben gets 90 of that 250
or 9/25.
mplify the expression:
| 5q + 84 - 94 + 84
Answers
Answer:
5q+74
Step-by-step explanation:
84-94 first which equals -10
then add that by 84 which equals 74
lastly just bring the 5q and 74 together making your expression
If the amount of vat paid by a customer while buyong a bag at 13℅ vat rate rs 143 ,find the cost of bag without vat
Answers
Step-by-step explanation:
vat %=13%
vat=143
vat = vat% of sp (i.e sp without vat)
143 = 13/ 100 of sp
143*100=13sp
14300/13 = sp
sp=4766.67
therefore the cost of bag without vat is rs.4766.67
HELP MEEEEEE
The following graph shows a bus's record of the number of passengers it picked up over the course of a day.
Bus Passengers by Hour
75
75
70
65
62
58
55
Passengers
50
45
43
40
41
36
37
31
28
Time
How many people rode the bus over the course of the day?
7:00 am
8:00 a.m.
9:00 am
10:00 am
11:00 a.m.
12:00 pm
1:00p.m.
2:00 p.m.
3:00 p.m.
4:00 p.m.
5:00 p.m.
6:00 p.m.
Answers
Answer:
40+62+58+43+36+55+41+28+31+37+75+64= 570 people
Step-by-step explanation:
If you add all the no.of people who rode the bus, you will get the answer since the qn is 'how many' which refers to the number of people and 'rode the bus over the course of the day' which means throughout the day and as you said, the graph given above is number of passengers who rode bus throughout the day. Also, do not look at the time given, it is useless according to the question.
I hope it helps.
There are 570 people rode the bus over the course of the day.
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
From the values on the graph which is presented in the table above, the number of people who rode the bus during the 12.00 hour is 55.
If we add all the no.of people who rode the bus, tjen we will get the answer since the qn is 'how many' which refers to the number of people and 'rode the bus over the course of the day' which means throughout the day
Since the graph given above is number of passengers who rode bus throughout the day.
Therefore, we have;
40+62+58+43+36+55+41+28+31+37+75+64= 570 people
Learn more about the addition here;
https://brainly.com/question/16365911
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