Quick review of the inverse function theorem:
By definition of inverse function,
f(f⁻¹(x)) = x
Differentiating both sides with respect to x using the chain rule gives
f'(f⁻¹(x)) • (f⁻¹)'(x) = 1
so that the derivative of the inverse is
(f⁻¹)'(x) = 1 / f'(f⁻¹(x))
Now if f(a) = b and a = f⁻¹(b), then the theorem says
(f⁻¹)'(b) = 1 / f'(a)
so that
g'(3) = 1 / f'(1)
We have
f(x) = x³ + x² + x ⇒ f'(x) = 3x² + 2x + 1 ⇒ f'(1) = 3 + 2 + 1 = 6
and so
g'(3) = 1/6
Researchers are investigating the effect of ph level in water on the breeding habits of the moon jellyfish. As part of a laboratory experiment, they will randomly assign one of three treatments, low ph , medium ph , or high ph , to the water in the tanks that hold the jellyfish.
In this experiment randomization tends to minimize the effects of uncontrolled variables, such as water temperature, so that such factors are not confounded with the treatment effects.
In an experiment, variables are carefully controlled in order to ensure the reliability of the results. Usually, treatments are assigned randomly to experimental units. Randomization refers to the assignment of experimental units to groups by chance.
Randomization is important in this experiment because it tends to minimize the effects of uncontrolled variables, such as water temperature, so that such factors are not confounded with the treatment effects.
Missing parts;
Which of the following is the best reason for the random assignment of a treatment level to an experimental unit?
A. Randomization tends to minimize the effects of uncontrolled variables, such as water temperature, so that such factors are not confounded with the treatment effects.
B. Randomization will make up for improper experimental design, data collection, and analysis.
C. Randomization makes the analysis easier since the data can be entered into the computer in any order.
D. Randomization is required by statistical consultants before they will analyze the experiment.
E. Randomization means that the experiment would not need to be replicated
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Evaluate the line integral, where c is the given curve. (x + 8y) dx + x2 dy, c c consists of line segments from (0, 0) to (8, 1) and from (8, 1) to (9, 0).
Parameterize the path from (0, 0) to (8, 1) by
• x(t) = 8t and y(t) = t
and the path from (8, 1) to (9, 0) by
• x(t) = 8 + t and y(t) = 1 - t
both with 0 ≤ t ≤ 1.
Over the first path, we have
[tex]\displaystyle \int_{C_1} (x+8y) \, dx + x^2 \, dy = \int_0^1 (8t + 8\cdot t) \cdot (8 \, dt) + (8t)^2 \cdot dt = \int_0^1 (128t + 64t^2) \, dt = \frac{256}3[/tex]
and over the second path,
[tex]\displaystyle \int_{C_2} (x+8y) \, dx + x^2 \, dy = \int_0^1 ((8 + t) + 8(1-t)) \cdot dt + (8+t)^2 \cdot (-dt) \\\\ = \int_0^1 (-48 - 23t - t^2) \, dt = -\frac{359}6[/tex]
and so the total line integral is
[tex]\displaystyle \int_C (x+8y) \, dx + x^2 \, dy = \frac{256}3 - \frac{359}6 = \boxed{\frac{51}2}[/tex]
The table shows the heights of 40 students in a class.
The random variable k has a geometric distribution with mean 16. Which of the following is closest to the standard deviation of random variable k ?.
Answer : 1
Explanation:
k = 11
16 ÷ 11 = 1
answer is 1
Which equation is represented by the graph below? On a coordinate plane, a curve starts at (0, negative 3) in quadrant 4 and then increases into quadrant 1 and approaches y = 3. Y = e Superscript x y = e Superscript x Baseline minus 1 y = l n x y = l n x minus 1.
Answer 2
Explanation:
Answer:
Option C
Explanation:
Y = In x
Choose the best Spanish equivalent to the phrase I am hungry. Soy sed. Estoy hambre. Tengo sed. Tengo hambre.
Answer: late but, the answer would be TENGO HAMBRE
Explanation:
Answer: D. Tengo hambre.
Explanation: On Edge!
If two populations are merged, each with different frequencies of an allele at a locus, and random mating occurs immediately, how long will it take to achieve a hardy–weinberg equilibrium in the new population?.
If two populations with different frequencies of an allele at a locus randomly mate, then only ONE generation will take to achieve Hardy–Weinberg equilibrium. This principle is used in population genetics.
The Hardy–Weinberg equilibrium is a principle used in population genetics to calculate allele and genotype frequencies in a population.
The Hardy-Weinberg equilibrium states that allele and genotype frequencies in a population will remain constant from one generation to the next in absence of different evolutionary forces.
The evolutionary forces that may alter the Hardy-Weinberg equilibrium include natural selection, mutations, nonrandom mating, genetic drift, and gene flow.
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What is a name for el salvador's slang language? mareesh cochise caliche lambada.
El Salvador's is known to have a lot of slang words. The name for El Salvador's slang language is caliche.
Caliche is known to be an informal word that is often used by the Salvadoran Spanish people. It is known to be as a result of colloquialisms and specific indigenous lexical words that pertains to these people.Caliche is simply known as the Nawat (Pipil) often affected by the dialect of Spanish that is often and been spoken in El Salvador. It has been shown that it has an element of Spanish and Salvadoran slang.
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Answer:
Caliche
Explanation:
I took the Quiz
Use the drop-down menu to complete each statement. US national security policy seeks to. Congress has the power to. The US government has to support national security.
Answer
1. protect us citizens
2. declare war
3. signed treaties
Explanation: your welcome
US national security policy seeks to protect us citizens.
Congress has the power to declare warThe US government has to support national security - Signed treatiesWhat does national security do?National security is known to be the body that is responsible for protection of its citizens, economy, and any other kinds of set up body.
Conclusively, It is known to be a body that is set up by government and handle issues relating to economic security, political security, and others and as such, US national security policy seeks to protect us citizens.
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why do fishes smell a lot
Answer:
When fish are killed, bacteria and fish enzymes convert TMAO into trimethylamine, which makes the fish oder smell
Explanation:
Answer:
their apart of the ocean so their naturally smelly
A swim club is designing a new pool to replace its old pool. The new pool would need to last for 10 years since the club is planning on relocating after 10 years. A concrete shell would cost rm85,000 and last for all 10 years. Another option is to install a vinyl liner that would cost only rm70,000 to install. However, the vinyl is not guaranteed to last for all 10 years, and it has a 40% chance of breaking down. Repair of the vinyl would cost rm40,000 and would extend the life of the vinyl liner to the 10-year mark. If both options are acceptable to the swim club, which one minimizes cost?.
If both options are acceptable to the swim club, the one that minimizes cost is concrete shell.
In order to determine the option minimizes cost we are going to calculate EMV of vinyl liner:
EMV of vinyl liner=(1-.40)(70,000) + 0.40(70,000+40,000)
EMV of vinyl liner=.60(70,000) + 0.40(110,000)
EMV of vinyl liner=42,000+44,000
EMV of vinyl liner= $86,000
Based on the above calculation EMV of vinyl liner of the amount of $86,000 is higher than EMV of concrete shell of the amount of $85,000.
Therefore swim club should install the concrete shell in order to minimize cost because it is lesser.
Inconclusion the option that minimizes cost is concrete shell.
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The little boy became drowsy as the day turned into night.
Answer:
what's the question?
Explanation:
What is the purpose of the international monetary fund and the world bank brainly.
Answer: The purpose is to raise living standards in their member countries.
Select the graphs that have an equation with a < 0.
Answer: B AND C on edge.
Explanation:
You are going to write an essay about the life of a person whom you admire. Which two organizational aids could you use, and why?.
Answer:
Organizational aids are tools that allow an author to help the reader understand and follow the flow of information and ideas within a text. They provide a framework for organizing and connecting what has been written into a cohesive whole.
Explanation:
Two organizational aids that could be used to write about the life of someone whom you admire would either be chronological order or cause-and-effect. The chronological order might be used because the author may want to inform the reader about key events within the person's life, and this organizational aid would help to accomplish that goal. Using cause-and-effect could also work well because it could show how certain events were caused by other events, which ultimately led to the outcome of certain moments in the person's life.
Answer:
You can use a sequence chart or a timeline. Both organizational aids allow you to present the events of the person's life in order of occurrence.
Explanation:
Which graph represents the solution set y > – x + 2?.
Look at the graph
___________
A second citizen proposes allowing the private company to charge different prices to different citizens and auctioning the right to build the museum to the highest bidding company. Again, only the citizens who pay the fee may view the museum. What is the highest bid a private company would make to supply the museum to smallsville? (hint: consider the revenue a perfectly price discriminating monopolist could earn relative to the annual interest payment of $1,000. ).
Answer:
a.cademics.helper
Explanation:
get the answer from here
Read the underlined sentence. Who or what does roosevelt blame for making life insecure?.
Answer: B. Industrialization
Explanation:
Answer:
Correct to person on top
Explanation:
:)
Which lines from the excerpt of antigone best demonstrate that creon abhors criminals who show no remorse for their actions?.
There are different kinds of stories excerpt of Antigone best demonstrate that Creon abhors criminals who show no remorse for their actions is that ''But most I hate when one found out in guilt, Will seek to glaze and brave it to the end''.
Antigon story is known to be that of a tragedy. It was written by Sophocles in the year 441 BCE. The lines talks about why the reason for hating a person if they are guilty, it implies why can't He love them instead.It was a play about the effect of a civil war where two sons of Oedipus, Eteocles and Polyneices, kill each other. In the excerpt, the new king and their successor, Creon punished Polyneices for his disloyalty.
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Triangle knm is isosceles, where angle n is the vertex. What is the measure of angle k? 11º 25º 50º 65º.
Answer:
B. 25º
Explanation:
Let random variable x represent the number of movies screening at movie theaters in a certain city. The following table shows the cumulative probability distribution of the discrete random variable x.
Answer:
Question
Let random variable x represent the number of movies screening at movie theaters in a certain city. The following table shows the cumulative probability distribution of the discrete random variable x.
Explanation:
What atomic or hybrid orbitals make up the sigma bond between sb and f in antimony(iii) fluoride, sbf3?.
Answer:
Sb electronic configuration is [Kr]4d105s25p3
It can undergoes sp3 hybridisation
sigma bond is formed between Sb & F in antomony (III) fluoride SbF3 is
"sp3 hybrid orbital of Sb + 2p - orbital of F".
the approximate F-Sb-F bond angle is 1070
Explanation:
Analyze the solution set of the following system by following the given steps. 2x y = 5 3y = 9 − 6x Write each equation in slope-intercept form. Y = x y = x.
Answer:
2x + y = 5
2x -2x+ y = 5 -2x
y=5-2x
y=-2x+5
3y = 9 − 6x
3y/3= 9/3 - 6x/3
y = 3 - 2x
y= - 2x +3
y= - 2x+5,
y= - 2x +3
Explanation: Hope this helps :)
Which factor is critical in determining whether a mother can grow a healthy placenta during the first month of gestation?.
Answer: Mother's pre-pregnancy nutrition status.
The need for change to automated sales at bergman’s most likely arises from a(n) ______ force.
It is also known as jingju lianpu that is done with different colors by the performing characteristics personality and historical assessment.
Based on the description given in the question, Peking face-paint is also known as Jingju lianpu that is done with different colors by the performing characteristics personality and historical assessment.
What is Peking face paint?Peking faces paint is famous for being one of the most colorful facial make-up.
Peking face-paint is usually carried out during traditional Perking opera on-stage actors. These actors perform roles referred to as Jing.
Hence, in this case, it is concluded that the correct answer is Peking face-paint.
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Why does judith's little brother need help? he can't get dressed by himself. He can't put his shoes on by himself. He can't get undressed by himself. He can't find his clothes.
Answer:
it's A- He can't get dressed by himself
Explanation:
judith's little brother need help, he can't get dressed by himself. it is needed to teach children how to get dressed.
Why child needs to learn how to get dressed?Teaching to children how to get dressed builds child’s confidence level and independence and it gives them a sense of achievement, so getting dressed by themselves helps the child to develop many other skills.
Some of the skills are fine motor skills like fastening buttons and zip, gross motor skills like standing on one leg to pull on a pair of pant, cognitive skills, language skills that is naming types of clothes, colors and sizes, awareness of time and space
Young children are aware about clothing by pulling off things like socks, shoes or hats,
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Which detail from the passage best supports the idea that mr. Jones is a reckless farmer? "the uproar awoke mr. Jones, who sprang out of bed" "everyone fled to his own sleeping-place. " "making sure that there was a fox in the yard" "let fly a charge of number 6 shot into the darkness".
The detail from the passage best supports the idea that Mr. Jones is a reckless farmer is "let fly a charge of number 6 shot into the darkness". Thus, option fourth is correct.
What is the meaning of reckless?The term reckless is derived from the Old English word receleas, which means "careless, thoughtless, or heedless."
"Let go a charge of Number 6 shot into the night," according to George Orwell's text, best supports the assumption that Mr. Jones is a reckless farmer.
Mr. Jones is in charge of the Manor Farm before the animals take over and rename it Animal Farm. He is frequently inebriated. He is cruel to animals who are hungry. He stands in for Tsar Nicholas II, who was deposed by the Revolution. Therefore, option fourth is correct.
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The detail from the passage best supports the idea that Mr. Jones is a reckless farmer is "let fly a charge of number 6 shot into the darkness". Thus, option D is correct.
What is the meaning of reckless?The term reckless is derived from the Old English word receleas, which means "careless, thoughtless, or heedless."
"Let go a charge of Number 6 shot into the night," according to George Orwell's text, best supports the assumption that Mr. Jones is a reckless farmer.
Mr. Jones is in charge of the Manor Farm before the animals take over and rename it Animal Farm. He is frequently inebriated. He is cruel to animals who are hungry. He stands in for Tsar Nicholas II, who was deposed by the Revolution.
Therefore, option D is correct.
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What is orwell's main purpose in this passage? to show how easy it is to convince animals and humans of something that is not true to reveal that dictators manipulate others and use deception to further their ambitions to show the negative effects of rumors and misinformation on those in leadership roles to reveal the corruption among many producers, sellers, and buyers of farm products.
Stories often convey different messages. Orwell's main purpose in this passage is to reveal that dictators manipulate others and use deception to further their ambitions.
The passage was an excerpt from Animal Farm. Napoleon knows the bad effect that can take place when real facts of the food situation were known known to the animals.To save them from fear or despair, he makes use of Mr. Whymper to spread a contrary impression.
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Answer:
b
Explanation:
edge 2021
Consider the two male oryx that are shown below. Mc005-1. Jpg Which of Charles Darwin’s main points is depicted in the image? Organisms within a population compete with each other to survive. Over time, beneficial variations will be passed on to future generations. More offspring are produced than can be supported by an environment. All organisms within a population have an equal chance for survival.
Answer:
option B
Explanation:
Answer:
B
Explanation: is the best answer