Explanation:
Given: [tex]f(x, y) = \sin(x + 2y)[/tex] P(-2, -3)
The unit vector in the direction of [tex]\theta = 3\pi/4[/tex] is given by
[tex]\vec{\textbf{u}} = \left(-\dfrac{\sqrt{2}}{2}\right)\hat{\textbf{i}} + \left(\dfrac{\sqrt{2}}{2}\right)\hat{\textbf{j}}[/tex]
The gradient of f(x, y) [tex]\nabla{f(x, y)}[/tex] is defined as
[tex]\nabla{f(x, y)} = \dfrac{\partial{f}}{\partial{x}}\hat{\textbf{i}} + \dfrac{\partial{f}}{\partial{y}}\hat{\textbf{j}}[/tex]
[tex]= \cos(x + 2y)\hat{\textbf{i}} + 2\cos(x+ 2y)\hat{\textbf{j}}[/tex]
so the gradient of f(x, y) at (-2,-3) is
[tex]\nabla{f(-2, -3)} = \cos(-8)\hat{\textbf{i}} + 2\cos(-8)\hat{\textbf{j}}[/tex]
Therefore, the directional derivative [tex]D_uf(x, y)[/tex] is
[tex]D_uf(x, y) = \nabla{f(x, y)}\cdot \vec{\textbf{u}}[/tex]
[tex]\:\:\:\:\:\:\:=\cos(-8)\left(-\frac{\sqrt{2}}{2}\right) + 2\cos(-8)\left(\frac{\sqrt{2}}{2}\right)[/tex]
[tex]\:\:\:\:\:\:\:\:=\cos(-8)\left(\frac{\sqrt{2}}{2}\right) = -0.103[/tex]
Note: the arguments of the cosines are in radian measure.
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Answer:
B. To claim land for Sweden
In which nation did Fidel Castro establish a communist state with a military
revolution in 1959?
A. Nicaragua
B. Cuba
C. Chile
D. Argentina
Answer:
A
Explanation:
A
The Stamp Act, enacted by Parliament in 1765, was the first law that taxed
the American colonists*
without representation
on such consumer goods as glass, lead, and paint
directly, rather than through duties on imports
on edible goods such as sugar, molasses, and tea
direct and indirect benefits
Explanation:
Direct benefits include measures like reduced head count or increased sales, but indirect benefits - which include returns that can't be directly observed, such as worker productivity -- account for half of the return on your technology investment, Nucleus says.
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What is one feature that the US Constitution and the Florida constitution have in common?
Answer:
I hope it's helpful for you ☺️
What was China motive in joining World War I alongside the allies
Answer:
China's motive in joining World War I alongside the Allies was that they hoped to drive Japan out of mainland China.
Why do Christians believe they are offered salvation?
Christians believe that they should follow the Five Pillars.
Christians believe they are the chosen people.
Christians believe that Jesus' death offered salvation to his followers.
Christians believe in a covenant with God, which guarantees salvation.
Answer:
C
Explanation:
I grew up in a Christian household
Which of the following statements describes a consequence of gold and silver mining that affected American Indians in the mid-1800s?
Plows needed for gold and silver mines destroyed native grasses.
The cutting down of timber for gold and silver mines led to a decrease in forests.
Debris from gold and silver mines polluted the supplies of drinking water.
Fences needed for gold and silver mines limited the movement of wild game.
Answer:
C.
Explanation:clean water would be polluted due to the mining which would cause a runoff to rivers
Answer:
C. Debris from gold and silver mines polluted the supplies of drinking water.
Explanation:
i just know
Do you know this it is social studies
How are the Torah and the Christian Bible similar? How are they different?
...
The Torah is the Old Testament, while the Christian Bible contains the Old and New Testament.
The Torah is a record of past events, while The Christian Bible is a moral guide.
The Torah and the Christian Bible are exactly the same.
The Torah is the Old Testament, while the Christian Bible is only the New Testament.
Answer:
Torah is Old. Bible is New and Old
Explanation: Bible is Christian literature containing books from the Jewish, or Old Testament text, with the Gospel of Christ being the New Testament. The Torah only contains Jewish text, which excludes teachings of Christ, so no New testament in the Torah only Old.
President Franklin Roosevelt oversaw both a First New Deal and a Second New Deal to curb the Great Depression.
a. True
b. False
Answer:
a. True, as he did so during his time as president
Which of the following was a result of the tea act of 1773?
Answer:
Which of the following was a result of the Tea Act of 1773? Colonial merchants could not sell their tea for less than the British East India Company. Colonial merchants could not get tea to sell due to a shortage caused by the British East India Company.
Required Reading
For this assignment you need to read through Frederick Jackson Turner's "The Significance of History" (Links to an external site.)
Prompt
What does Turner mean when he argues that, "History, both objective and subjective, is ever becoming — never completed"? How does Turner see the field of history interacting with the present? How convincing is Turner's argument about the nature of history?
Read related link on:
https://brainly.com/question/14147766
Which type of religion was first practiced in the ancient river valley civilizations of Mesopotamia,
Egypt, Indus Valley, and China?
O polytheism
aetheism
O monotheism
O Catholicism
Answer:
Polytheism.
The rest only came way later on, Egypt is a dead giveaway of this answer as Egyptian Mythology is still greatly publicized in movies and other forms of pop culture.
Share five ideas on how to bring back the lost pride of Bangladeshi Muslin.
Which type of rights are fundamental and belong to all citizens?
A) substantive rights
B) procedural rights
C) unenumerated rights
D) civil rights❌
(D is the wrong answer)
Answer:
A
Explanation:
How is a Royal Colony different from a Company Colony?
Answer:
Royal colonies were owned by an individual proprietor or by a small group of proprietors under a charter from the monarch, [ while corporate colonies had a charter granted by the English monarch to stockholders.
Explanation:
Proprietary colonies were granted by the king to a proprietor or head of a proprietary family, who owned the colony by title and governed it as he saw fit. Royal colonies were controlled by the king through his representative, the royal governor.
What sorts of political and economic challenges does the party seek to address?
Explanation:
Cultural
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which of the following does not describe a form of slavery traditionally practiced in africa?
D. A system in which people were enslaved permanently on account of their race was not a type of slavery that was traditionally practiced in Africa.
Slavery has been part of human civilization for a long time and Africans were no different. Slavery was practiced for various reasons in Africa which included:
people offering to be slave labor in exchange for protection or foodpeople offering to be slave labor in order to pay off a debt and, people being traded as slaves because they were viewed as propertyAt no point were people traded as slaves because they had a particular color of skin or were of a particular race like the European slave trade.
We can therefore conclusively state that traditionally speaking, Africans did not enslave people based on skin color.
Find out more at https://brainly.com/question/9054355.
Options for this question include:
a. a system in which those in need of supplies or protection give themselves in servitude
b. a system in which debtors repay those whom they owe by giving themselves in servitude
c. a system in which people are treated as cha-ttel—that is, as personal property to be bought and sold
d. a system in which people are enslaved permanently on account of their race
How did Austria's alliance system influence Austria's decision to send sebria and ultimatum
Explanation:
With German backing, Austria was more confident in issuing the ultimatum, which they knew would be rejected. Declaration of war triggered the complex alliance system in place in Europe prior to WWI.
write at least four countries where there is a monarchical system of governance
Answer:
Explanation:
These countries include; Papua New Guinea, Barbados, Tuvalu, Antigua and Barbuda, Solomon Islands, Saint Lucia, Federation of Saint Kitts and Nevis, Saint Vincent and the Grenadines, Jamaica, Grenada, Belize, Bahamas, Canada, Australia, and New Zealand.
Put into your own words:
"We hold these truths to be self-evident, that
al men are created equal, that they are
endowed by their Creator with certain
unalienable Rights, that among these are Life,
liberty, and pursuit of Happiness."
Answer:
"We hold these realities to act naturally obvious, that
all men are made equivalent, that they are
enriched by their Creator with certain
unalienable Rights, that among these are Life,
freedom, and quest for Happiness."
Explanation:
Here you go, if this helps :)
Answer:
Everyone shares the same amount of rights, no one is better than anyone else and we are all entitled to basic human needs.
Explanation:
What philosophy did many factory managers support to increase efficiency?
A. Populism
B. Segregation
C. Scientific management
D. Communism
Answer:
c. Scientific management
The Mesopotamians developed _____ and the Ancient Egyptians developed _____ for the purpose of record-keeping.
Hieroglyphics; cuneiform
pictographs; alphabets
Cuneiform; hieroglyphics
Alphabets; pictographs
Answer:
Cuneiform ; hieroglyphics
Explanation:
I took the quiz :D
Why did African Americans migrate to northern American cities in the early 1900s?
A.
To escape from former slave owners and masters
B.
To work on assembly lines in the new factories
C.
To get away from a harsh, dry climate in the South
D.
To purchase northern farms, ranches, and mines
hn jn nj n nm m m km km jokjioommiomlo/
Answer:
makes sense
Explanation:
Which of these mountain ranges represents the Appalachian Mountains?
A) 1
B) 2
C) 3
D) 4
Answer:
Oh!!!!!! you haven't uploaded options!!
Answer:
I think d is the answer
Explanation:
The Appalachian Mountains, often called the Appalachians, are a system of mountains in eastern North America. The Appalachians first formed roughly 480 million years ago during the Ordovician Period. They once reached elevations similar to those of the Alps and the Rocky Mountains before experiencing natural erosion.
HST 103A/1034: World History Unit 2 Lesson 9 exploring further
Answer:
https://www.coursehero.com/file/25618856/World-History-Unit-2-Review-1pptx/
Explanation:
What was the major difference between Presidential Reconstruction and Congressional reconstruction
Answer:
The main difference between Presidential and Congressional Reconstruction was the degree of leniency they afforded to former confederate states. Under the Presidential Reconstruction plans of Lincoln and Johnson, confederate states would be granted readmission to the Union comparatively easily.
Explanation:
which of the following is not considered a productive resource
Explanation:
the things that are productive