Let f be the function defined by f(x)=x3+x2+x. Let g(x)=f−1(x), where g(3) = 1. What is the value of g'(3)?.
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
Problems with sleep are more common than sleep disorders or parasomnias. Please select the best answer from the choices provided T F.
Answer:
True
Explanation:
E2023
Answer:
true
Explanation:
Which of the following is true if δesys = - 115 j?.
Answer:
115 j
is true
Explanation:
Thats the true
This excerpt best illustrates Kurt Vonnegut’s message that everyone in a society should have equal talent and beauty. Advances in technology should be closely monitored. Television viewing limits individual thought and creativity. Absolute equality prevents personal freedoms of expression.
Answer:d
Explanation: I did it
Answer:
The answer is D
Explanation:
Which is an example of a polyatomic ion? H2 CO3- Mg Ne -.
Answer:
CO3-
Explanation:
Antimony (sb) has two stable isotopes with isotopic masses of 120. 9038 u and 122. 9042 u. What is the natural abundance of the heavier isotope?.
Answer:
average Atomic mass of thallium = 204.38
let heavier isotope is x%
204.3833 (100) = x(204.9744) + (100-x) 202.9723
20438.33 = 2.0021x + 20297.23
x= 70.476
correct answer is 70.3%
Explanation:
check the pic
Hydrogen and nitrogen combine to form ammonia. When nitrogen and hydrogen bond, nitrogen pulls the electrons from hydrogen toward itself. Which statement about the reactants is correct?.
Answer:
Nitrogen is more electronegative, so it pulls the electrons in the bond closer to itself
Explanation:
no statements given
He has plundered our seas, ravaged our Coasts, burnt our towns, and destroyed the lives of our people. –The Declaration of Independence, Thomas Jefferson Which statement best describes the use of rhetorical appeals in the passage? The passage relies on pathos by listing facts that support Jefferson’s point. The passage relies on ethos by demonstrating why Jefferson is qualified to discuss the issue. The passage relies on pathos by generating sympathy for the American people. The passage relies on ethos by using strong, emotional language.
Answer:
C- The passage relies on pathos by generating sympathy for the American people.Explanation:
The passage relies on pathos by generating sympathy for the American people is the statement best describes the use of rhetorical appeals in the passage. Thus, option (c) is correct.
What is passage?
The term “passage” refers to the explanation and description of a sentence in relation to a topic. The passage aimed to describe those details related to the theme of the story. The different passage is to justify to the different things as to clarify. The passage is to define the important terms.
According to the given, the passage was the justify the details of the relies in the pathos was the feeling related to the generated the sympathy for the American people. According to this passage's including the pathos, the narrator was expressing the emotions of herself. Pathos was always appealing to emotions, imagination, and also beliefs and values.
Therefore, option (c) is correct.
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Read the excerpt from "Harlem. " Does it stink like rotten meat? Or crust and sugar over- like a syrupy sweet? Read the excerpt from "The Weary Blues. " Droning a drowsy syncopated tune Rocking back and forth to a mellow croon In both poems, Hughes uses the imagery to establish tone. Offer background information. Convey a criticism. Conjure pleasant memories.
Answer: establish tone
Explanation: ed 2021
There are different kinds of tones. Hughes uses the imagery to establish tone.
What does establishing tone implies?For one to establish a tone means to set a kind of quality, feeling, etc., by the approach one use in speaking or writing.
Tone is known to be an author's attitude toward a specific subject. The tone can be seen by looking at word choices and phrases that is used by the author or looking at the language used.
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A vendor sells hot dogs and s sodas.
A)100d/(s+2h)
If S is the cost of soda in cents, then
h*2S +s*S = 100*d
S = 100d/(s+2h)
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A population of bacteria is 8500 on day 1, 9350 on day 2, and 10,285 on day 3. What will the population be on day 30?.
Population are often represented using exponential functions
The population of the bacteria on day 30 is 134837
Let x represent the number of days, and y represents the population.
So, we have: (x,y) = (1,8500), (2, 9350) (3, 10285)
An exponential functions is represented as [tex]\mathbf{y = ab^x}[/tex]
So, we have:
[tex]\mathbf{8500 = ab}[/tex]
[tex]\mathbf{9350 = ab^2}[/tex]
Divide both equations
[tex]\mathbf{\frac{9350}{8500} = \frac{ab^2}{ab}}[/tex]
[tex]\mathbf{1.1 = b}[/tex]
Rewrite as:
[tex]\mathbf{b = 1.1 }[/tex]
Substitute 1.1 for b in [tex]\mathbf{8500 = ab}[/tex]
[tex]\mathbf{ 8500 = 1.1a}[/tex]
Divide both sides by 1.1
[tex]\mathbf{ 7727.3 = a}[/tex]
Rewrite as:
[tex]\mathbf{ a = 7727.3 }[/tex]
So, we have:
[tex]\mathbf{y = ab^x}[/tex]
[tex]\mathbf{y = 7727.3 \times 1.1^x}[/tex]
On day 30, we have: x = 30.
So, the equation becomes
[tex]\mathbf{y = 7727.3 \times 1.1^{30}}[/tex]
[tex]\mathbf{y = 134837}[/tex]
Hence, the population of the bacteria on day 30 is 134837
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An automated packaging systems is responsible for packing boxes.
An automated packaging machine is a device mostly found in industrialised environment used to package and seal fast moving consumable goods.
The products could be packaged in sachets or in boxes depending on the type of packaging needed
The various types of packaging are listed bellow
Primary PackagingSecondary PackagingPrimary Package: These are package that are used to enclose the product directly, if the product is edible, the primary package is mostly food safe i.e when it comes in contact with product it does not have any form of harmful effect to the final consumer
Secondary Package: These are packages that are use to enclose are large amount of products are are enclose in a primary package, they are usually in boxes
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What is the difference of the volumes of the two oblique pyramids, both of which have square bases? Round the volumes to the nearest tenth of a centimeter. 2 oblique pyramids with square bases are shown. Pyramid A is a base edge length of 2. 6 centimeters and a height of 2 centimeters. Pyramid B has a base edge length of 2 centimeters and a height of 2. 5 centimeters. 0. 7 cm3 1. 2 cm3 1. 8 cm3 2. 3 cm3.
Answer:
What brought an end to efforts during the late thirteenth century to form an alliance of European states and the il-khanate of Persia aimed at crushing Islamic forces in the eastern Mediterranean
Explanation:
Which letter shows the type of wave that can be seen by humans.
One common attention getter used in a speech introduction is.
Answer:
Asking a question that you want the audience to answer or consider
Explanation:
Please mark as brainliest if this helped you
The need for change to automated sales at bergman’s most likely arises from a(n) ______ force.
We should appreciate that the telephone here have been working as efficient as in the past.
Which expression is equivalent to (4 6i)2? –20 48i 8 12i 16 – 36i 20 48i.
Answer:
The answer is: -20 + 48i
Answer:
A
Explanation:
Which expression is equivalent to (4 + 6i)2?
–20 + 48i
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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Which of the following best describes metal prices?.
Hard substances that conduct heat and electricity and have a characteristic lustre or shine
What would happen if you did not have the stapedius and tensor tympani muscles?.
Which of the following statements about the law of acceleration is true.
Answer:
Acceleration
Explanation:
Which statements accurately describe satellite motion? check all that apply.
Martin decided to buy 3 bags of grapes weighing 4 1 5 pounds each. How much did all 3 bags of grapes weigh? 1 and one-fifth 7 and one-fifth 12 and one-fifth 12 and three-fifths.
Answer:
12 3/5
Explanation:
12 3/5 pounds
Step-by-step explanation:
Martin decided to buy 3 bags of grapes.
The weight of each bag = 4\frac{1}{5}451 pounds
We have to calculate the weight of all 3 bags of grapes.
So we multiply 4\frac{1}{5}451 to 3
= \frac{21}{5}521 × \frac{3}{1}13
= \frac{63}{5}563
= 12\frac{3}{5}1253 pounds
The weight of all 3 bags of grapes were 12\frac{3}{5}1253 pounds.
Answer:
12 3/5
Explanation:
A car is traveling with a constant speed when the driver suddenly applies the brakes, causing the car to slow down with a constant acceleration of magnitude 3. 50 m/s2. If the car comes to a stop in a distance of 30. 0 m, what was the car's original speed?.
Answer: 14.49 m/s
Explanation: you would have to use kinematic equations to solve for the original speed.
v^2 = v0^2 + 2 (a) (x) where v = 0 since the car stopped
then you would get v0 = sqrt (2(a)(x))
plug in the known values
v0 = sqrt(2(3.50)(30.0))
v0 = 14.49 m/s
So the answer would be 14.49 m/s
Triangle J K L is shown. Point N is the midpoint of side J L and point M is the midpoint of side K L. The length of J K is 19. 6 meters. The lengths of J N and N L are 7. 4 meters. The lengths of K M and M L are 10. 7 meters. What is the distance between points M and N? meters.
Answer:
9.8
Explanation:
just did assignment
Which element is reduced in the following reaction? cu + 2h2so4 → cuso4 + so2 + 2h2o.
Answer:
2h6t
Explanation:
Assume the blood pressures of 10 people were measured before and after sleeping for the night. What is the corresponding critical t-value for a one-tailed, paired-samples t test with an alpha level of 0. 05 (5%). Please report your answer as an absolute value and include three decimal places.
Using a t-distribution table or a t-critical value calculator, the critical value for a one- tailed t - test for the sample given at 0.05 α-level would be 1.833
The critical value for a one-tailed, paired sample t test can be defined thus :
[tex]t_{critical} = t_{α, df-1} [/tex] Sample size, n = 10The degree of freedom , df for a 1 - tailed t-test is calculated using the relation :
df = n - 1Hence,
Degree of freedom, df = n - 1 = 10 - 1 = 9
Using a Tcritical value calculator or a t - distribution table :
[tex]t_{critical} = t_{0.05, 9} = 1.833 [/tex]
Therefore, the critical value for a one - tailed test at 0 05 level of confidence would be 1.833.
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Which monarch was the target of the Gunpowder Plot? A. Elizabeth I B. James I C. Charles I D. Charles II.
Answer: The answer is B
Explanation: James I
The monarch who was the target of the gunpowder was James I.
James I is the monarch which was the target of the Gunpowder Plot. Hence option B is correct.
What is monarch?Monarch is defined as a sovereign ruler is someone who has control over a kingdom or empire. A monarch with legal standing. In the United Kingdom, monarchy is the oldest system of government. A king or queen is the head of state in a monarchy. Constitutional monarchies include the British Monarchy. Monarchy, a form of government in which one person has full power or authority.
The Gunpowder Plot of 1605, in which Guy Fawkes and other Catholic conspirators attempted to blow up Parliament and assassinate James I of England, is commemorated on 5 November in Britain on Guy Fawkes Day.
Thus, James I is the monarch which was the target of the Gunpowder Plot. Hence option B is correct.
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How do you embody the burger king® brand values of dreaming big, meritocracy, and authenticity?.
Burger King's brand values are vital in dictating the company's brand message, meritocracy, and personality.
The brand values of Burger King include dreaming big, meritocracy, and authenticity. They're placed at the core of the brand and dictate the message of the company.
The brand values are vital in shaping the decision-making processes. The brand values of dreaming big, meritocracy, and authenticity are can be applied in the life of an individual as it helps in one's development.
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