Explain ONE historical situation in the period 1450-1750, other than the one illustrated in the passage, in which states experienced environmental impact.

If f and h are inverses of one another, then we have

h(f(x)) = x

Differentiating both sides using the chain rule gives

h'(f(x)) • f'(x) = 1

Let f(x) = -1. Then it would follow that

h'(-1) = 1/f'(x)

for the value of x such that f(x) = -1. This result is known as the inverse function theorem.

Solve for x such that f(x) = -1 :

2x³ - 3x = -1

2x³ - 3x + 1 = 0

By inspection, x = 1 is a solution, since 2 - 3 + 1 = 0. So x - 1 is a factor of the left side; polynomial division yields a factorization of

(x - 1) (2x² + 2x - 1) = 0

and using the quadratic formula, we find three solutions,

x = 1, x = (-1 - √3)/2, x = (-1 + √3)/2

Since there's more than one solution here, this means f(x) is not one-to-one and thus has no inverse in the strict sense of the term.

We can however restrict the domain of f(x) to a subset over which it can be inverted. Using the fact that polynomials are monotonic over intervals between their extrema, we find the critical points of f(x) :

f'(x) = 6x² - 3 = 0   ⇒   x² = 1/2   ⇒   x = ± 1/√2

Check the sign of the second derivative at each critical point:

f''(x) = 12x

• f''(-1/√2) = -12/√2 < 0   ⇒   x = -1/√2 is a local maximum

• f''(1/√2) = 12/√2 > 0   ⇒   x = 1/√2 is a local minimum

Now we have a few choices of how to define the inverse of f(x).

• If we restrict the domain of f(x) to the interval (-∞, -1/√2), then f(x) = -1 when x = (-1 - √3)/2. Then by the inverse function theorem,

f((-1 - √3)/2) = -1   ⇒   h'(-1) = 1/f'((-1 - √3)/2) = (-1 + √3)/6

• If we instead restrict the domain to (-1/√2, 1/√2), then f(x) = -1 when x = (-1 + √3)/2. Then

f((-1 + √3)/2) = -1   ⇒   h'(-1) = 1/f'((-1 + √3)/2) = (-1 - √3)/6

• Otherwise, if we restrict to (1/√2, ∞), then f(x) = -1 when x = 1. Then

f(1) = -1   ⇒   h'(-1) = 1/f'(1) = 1/3

Most likely requires hypothetical thinking, such as "what if........happened?"

Solution

To determine the angle of the velocity, we use the following equation.

Tan θ = Vertical velocity ÷ Horizontal velocity

As the particle moves from its initial position to its final position, its vertical velocity decreases at the rate of 9.8 m/s each second. During this time its horizontal velocity is constant. To determine the time when the angle is 45˚, we need to determine the object’s vertical velocity at this angle. Let’s determine the vertical and horizontal components of its initial velocity.

Vertical = 50 × sin 60˚, Horizontal = 50 × cos 60˚ = 25 m/s

Since horizontal velocity is constant, let’s put 25 m/s and 45˚ into the tangent equation.

Tan 45 = Vertical velocity ÷ 25

Vertical velocity = 25 m/s

To determine the time for the vertical velocity to decrease from its initial value to 25 m/s, use the following equation.

vf = vi – a × t

a = 9.8

25 = 50 × sin 60˚ – 9.8 × t

t = (25 – 50 × sin 60˚) ÷ -9.8

This is approximately 1.83 seconds.

The net increase in potential energy by the crate is negative 49.4 Joules. That is, ΔP.E = - 49.4 J

Given that a 40N box is pushed 5 m up a ramp. The angle of the ramp is 37° above the horizontal.

We can find the height h of the ramp with the equation below;

h = 5sin 37

h = 3.009 m

Mass of the box = 40/9.8 = 4.082 kg

The maximum energy attained = mgh

Maximum Energy = 4.082 x 9.8 x 3.009

E = 120.36 J

The maximum K.E = Maximum P.E

1/2m[tex]U^{2}[/tex] = 120.36

m[tex]U^{2}[/tex] = 240.72

[tex]U^{2}[/tex] = 240.72 / 4.082

[tex]U^{2}[/tex] = 58.97

U = [tex]\sqrt{58.97}[/tex]

U = 7.7 m/s

We can find the acceleration by using third equation of motion

[tex]V^{2}[/tex] = [tex]U^{2}[/tex] - 2aS

Since the box is going to rest, V = 0, and acceleration will be negative

0 = 7.7^2 - 2 x a x 5

10a = 59.29

a = 59.29/10

a = 5.93 m/[tex]s^{2}[/tex]s^2

The applied force F = ma

F = 4.082 x 5.93

F = 24.2 N

Given also that the applied force is parallel to the ramp and opposed by a frictional force of 10.0 N. The net increase in potential energy by the crate will be

ΔP.E = Net work done

ΔP.E = Net force x distance

ΔP.E = (24.2 - 10 - 40sin37) x 5

ΔP.E = - 9.87 x 5

ΔP.E = - 49.4 J

Therefore, The net increase in potential energy by the crate is negative 49.4 Joules.

Learn more about Potential energy here: https://brainly.com/question/25791834

Answer:

The Hutus and Tutsis. Also known as the Rwandian Genocide

Explanation:

Answer:

f(x) = d/ dx (2.5x1.3)

f(x) =2.5×d/dx(1.3*)

f(x) =5xIn 13/10 x 13*/2×10*

So the answer is

f(x)=5•IN13/10•13*/2•10*

That's the correct answer I see in my book

f(x)=5•IN13/10•13*/2•10* is the percent rate of increase for the exponential function.

The formula for an exponential function is f (x) = ax, where x is a variable and an is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.

Y=abx y = a b x is the fundamental exponential function equation, where a denotes the y-intercept and b the growth factor.

When b > 0 and b 1, an exponential function has the form f(x) = bx. The base is b, and the exponent is x, just like in any exponential expression. The development of bacteria is an illustration of an exponential function. Some germs multiply by two per hour.

f(x) = d/ dx (2.5x1.3)

f(x) =2.5×d/dx(1.3*)

f(x) =5xIn 13/10 x 13*/2×10*

Learn more about exponential function, here

https://brainly.com/question/15352175

#SPJ5

The minister of your local church who has known you for 10 years would be most appropriate to ask for a letter of recommendation. A letter of recommendation can help to obtain a job or college application.

A letter of recommendation is a document used to validate the work, specific skills, and/or academic performance of an individual.

These letters (letters of recommendation) are generally requested by a superior for obtaining a job or college opportunity.

The letters of recommendation can be helpful for adding extra merit to a job/college application.

Learn more about letters of recommendation here:

https://brainly.com/question/10281132

Answer:

I don't know

Explanation:

sec(A) = 5/3   ⇒   cos(A) = 3/5

Angles A and C are complimentary (they sum to 90°), so

sin(C) = cos(A) = 3/5

since sin(90° - x) = cos(x) for all x, and in turn

csc(C) = 1/sin(C) = 5/3

Answer:

Explanation:

C

5%3000 = 150

150 x 4 = 600

3000 + 600 = 3600

Answer: $3,600

Explanation:

3,000 * 0.05 = 150

150 * 4 = 600

3,000 + 600 = 3,600

Answer:

federalism

Explanation:

the Parliament is the federal institution with the power to make laws, to raise taxes, and to authorize government spending.

The following are some of the reasons we preserve our food.

Not to lose it freshness

.To prevent contamination and infection

.To prevent food from smelling

.To keep insect and other pest away from the food.

Keeps farm produce in good condition for planting in the next season

.To keep food for a long period of time.

Explanation:

One- Not to lose it freshness.

Two- To prevent contamination and infection.

Three- To prevent food from smelling.

Four- To keep insect and other pest away from the food.

A way through which European practices affected the environment in the Americas during this period was that colonization ruptured the ecosystem.

It should be noted that during this period, colonization ruptured the ecosystem. It brought in new organisms while others were eliminated.

Also, the Europeans brought many diseases with them. This decimated the population of the Native Americans. Therefore, new plants were planted by the Native Americans as medicines.

Learn more about the Europeans on:

https://brainly.com/question/24877599

Answer:

Variable-ratio reinforcement

Explanation:

The kind of reinforcement schedule this exemplifies is variable-ratio reinforcement. The correct option is c.

A variable ratio schedule is a reinforcement schedule in which a behavior is reinforced after a random number of responses. This type of schedule produces high, consistent response rates. It is a sort of partial reinforcement in which only a subset of responses are reinforced and no definite pattern exists.

Organisms persevere in reacting in the belief that the next reaction will be the one required to earn reinforcement. A variable-ratio schedule is a partial reinforcement schedule in operant conditioning, in which a response is reinforced after an unknown number of responses.

Therefore, the correct option is c, Variable-ratio reinforcement.

To learn more about variable-ratio reinforcement, refer to the link:

https://brainly.com/question/15702305

#SPJ2

Answer:

In Hawaii v. Trump, the Supreme Court considered whether President Trump's travel ban exceeds the President's delegated powers under the Immigration and Nationality Act and violates the Establishment Clause of the First Amendment

It should be noted that the cases established the right of federal courts to review redistricting issues outside the courts' jurisdiction.

In Hawaii v. Trump, it was considered whether President Trump's travel ban exceeds the President's delegated powers.

In  Baker v. Carr (1962), the court ruled that federal courts can enforce the 14th amendment in a situation where the state legislative districts are populated.

Learn more about courts on:

https://brainly.com/question/983683

Answer:

its D

Explanation:

i just took the exam it was right

Answer:

a map

Explanation:

Hope this helps. Plz give brainliest. Also, plz sub to kgirl633 on yt.

Answer:

i=2, -12/9

Explanation:

Step one: Using FOIL: (4+3i) (6-3i)--> 4*6+4*-3i+ 3i*6+ 3i*-3i

Step two: Simplify the new equation--> 24-12i+18i-9i²

Step three: Putting that into the quadratic equation--> -9i²+6i+24

Step four: Use the quadratic formula or the X-method (I'm going to use the X-method)

Step five a: Setting it up to use the X-method--> ax²+bx+c=0

Step five b: a=-9 b=6 c=14

Step six:

Step seven:

Step eight: i= -2, -12/9

Hope that helps! Let me know if you need anymore help!

Answer:

It can take anywhere from 6 years to 10 years. Depends on the university.

In most unis:

Botany - 4 years

Culinary school - 4 years

Mechanical trade - 2 years

Hope that helps

Answer: What statement is incorrect about natural selection

Explanation: Human genetic modification.

Answer:

As a parent, you have an important role in shaping your children's eating habits. By creating a positive eating environment and being a good role model, you can help your children develop healthy eating habits that can make a lasting impact on their health.

hi

have a good day

thank me later

carryonlearing

Answer:

D

Explanation:

Answer:

Disculpe director, ¿podria darme el número de teléfono de su oficina?

Explanation:

Tu créeme

the movie's overt racism outraged African Americans and civil rights advocates.

Answer:GPS tracking is the newest technology being used to track wildlife. In GPS tracking, a radio receiver, not a transmitter, is placed on the animal. The radio receiver picks up signals from special satellites. The receiver has a computer that then calculates the location and movement of the anima

Explanation:

GPS data is extensively used in the study of certain animals to understand their movements, behaviors, and habitats.

Researchers attach GPS tracking devices to animals such as migratory birds, marine mammals, and large terrestrial mammals. These devices record the animal's location at regular intervals, allowing scientists to track their movements over time.

By analyzing GPS data, researchers can identify migration routes, feeding areas, and breeding grounds of the studied species.

This information is vital for conservation efforts, as it helps identify critical habitats and migration corridors, assess the impact of human activities, and inform effective management strategies to protect these animals and their ecosystems.

GPS technology revolutionized the understanding of animal behavior and contributed significantly to wildlife conservation efforts.

Know more about GPS technology:

https://brainly.com/question/33440875

#SPJ3