Find the directional derivative of at the point (-2, -3) in the direction .
The gradient of f is :∇f=⟨?,? ⟩
∇f(−2,−3)=⟨?,? ⟩
The directional derivative is:?
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.
What was the final blow to Benedict Arnold's pride?
Answer:
In January 1801, Benedict Arnold's health began to decline. He had suffered from gout since 1775, and the condition attacked his unwounded leg to the point where he was unable to go to sea.
Explanation:
What was the original purpose of the Constitutional Convention?
A. to debate the need for a bill of rights
B. to amend the Articles of Confederation
C. to explore options for raising money
D. to discuss the question of slavery
Answer: Please refer to:
The Constitutional Convention in Philadelphia met between May and September of 1787 to address the problems of the weak central government that existed under the Articles of Confederation.
===> Choose B. to amend the Articles of Confederation
Explanation:
Not sure but hope it helps.
Do you know this it is for social studies
Answer:
I think the will be
Explanation:
agree
Answer:
resist because he held him by his arm
Do you know this for social studies
Reconstruction ended with the compromise of 1877 and the election of Rutherford B. Hayes as president. True or false?
What was the reason for Bacon's Rebellion?
O A. Religion
O B. Gender
C. Socio-economic
O D. Race
The language and religion of a people are physical features of a region.
Please select the best answer from the choices provided
T
F
Answer:
True
Explanation:
hope it helps youAnswer:
true
Explanation:
Describe the Truman Doctrine, noting whether it contributed to world peace and security.
Answer:
Truman also argued that the United States was compelled to assist “free peoples” in their struggles against “totalitarian regimes,” because the spread of authoritarianism would “undermine the foundations of international peace and hence the security of the United States.”
Indeed, both nations established repressive right-wing regimes in the years following the Truman Doctrine.
Explanation:
what to do after I had mild heart attack??
Answer:
A good night's rest is especially important for heart attack patients. And if you feel tired during the day, take a nap or a short rest. Heart patients should rest before they get too tired.
Explanation:
10. Why is 1619 such an important year?
a.
b.
Who is Charles Peterson
Answer:
Charles Peterson is an American photographer well known for his work with the Seattle independent record label Sub Pop and for capturing the then-newly emerging grunge scene in images.
Answer: I hope this is helpful
Explanation:
Charles Peterson (born 1964 in Longview, Washington) is an American photographer well known for his work with the Seattle independent record label Sub Pop[1] and for capturing the then-newly emerging grunge scene in images. Peterson is known for depicting the rise of the Pacific Northwest underground music scene in the late 1980s to early 1990s. Visually, he is known for his trademark full-frame, non-cropped images. Reviews about his work include the following, "Peterson is known for his action-packed, sometimes partially blurred black-and-white shots taken with a wide-angle lens.[3]Peterson's introduction to photography was as a youngster watching his uncle developing film. He attended Bothell High and his photographs were in the school newspaper and yearbook.[3] His livelihood today mainly comes from licensing his photographs and books. He does some commercial shoots but does not photograph many bands.[3]He lives in Seattle with his wife, son Felix and daughter Leica.[4]
6. Read this quote from Ben Hogan below the photograph.
purple
"People have always been telling me what I can't do. I guess I have wanted to show them.
That's been one of my driving forces all my life."
31
What does this quote mean? Use at least two direct quotes from the text that give
examples of this quote.
A
urn
Julie Bahn
Answer: Alright, so I strongly believe that this phrase/quote is Ben Hogan's basically trying to put it this way," There will be people out there who'll tell you what you can and cannot do. But don't listen to them, and prove them wrong; show what you can and cannot do. That'll be the key of steer your life ( also well known as driving force).
Explanation: Everyone just told me that I'm never going to get a golf scholarship as a freshman. Instead of listening to them, I decided to prove them wrong. I practice, and practice, and practice until I became a pro at it. When golf season came up, I showed the coaches my all. The coaches admired my skills so much, that they gave me a scholarship in my freshman year.
Can someone help me please
Answer:
buh buh buh B
Explanation:
it's just the way it is
the apostle paul's teachings were consistent with what belief system in that they emphasized the equality of human beings??
A. Greek Beliefs.
B. Monarchies
C. Democracy.
D. Roman beliefs.
in the myth about the dauther of the sun, the sun was angry ay the people on the Earth because:
In the myth about the dauther of the sun, the sun was angry at the people on the Earth because the Earth people always looked at the moon with it's twisted up face and squinted eyes They also smiles at moon's gentle light .
Hope it helps you
n
Who do lobbyists try to influence
in an attempt to sway a vote?
A. members of Congress
B. the president
C. Supreme Court judges
Answer:
The correct choice is option A. members of Congress
Explanation:
Lobbyists are usually looking to make a positive impact on the decision makers of a law or act, as this will greatly affect the legislation process. Congress members oftentimes listen to lobbyists and pay more attention to them, because they can gain funds and interest this way.
Why was Allende opposed in chile
During the mid-1800s, the greatest danger to American Indians in the West was
Answer:
a lack of immunity to certain diseases
PLEASE HELP IM TIMED
If you were to set up a
timeline with the events listed below, which event would you list first?
O French Revolution
O Declaration of Independence
O English Bill of Rights
O Magna Carta
Answer:
https://en.wikipedia.org/wiki/Declaration_of_the_Rights_of_Man_and_of_the_Citizen
Explanation:
look in this link you should get the answer
What was the first industry to contract with "investment banks" to raise capital by selling shares of stock to investors?
a. the electric motor industry
b. the agriculture industry
c. the railroad industry
d. the textile industry
e.the oil industry
the answer is c
the railroad industry
The first industry to contract with "investment banks" to raise capital by selling shares of stock to investors is the railroad industry.
What is Investment Bank?A provider of financial services that serves as a middleman in significant and intricate financial transactions is known as an investment bank. When a young firm is ready to launch its initial public offering (IPO) or when a company combines with a rival, an investment bank is typically engaged.
The railroad has served as the main mode of transportation for people, commodities, and information since roughly 1860. Prior to the American Civil War (1861–65), transportation limitations caused by things like bad weather and distance were no longer an issue in trade and commerce.
Therefore, Option (c) is correct.
Learn more about Investment bank, here;
https://brainly.com/question/15390021
#SPJ2
how did the civil war change the economy and society in the north and south?
Answer:
The Union's industrial and economic capacity soared during the war as the North continued its rapid industrialization to suppress the rebellion.
Explanation:
Answer:
The Union's industrial and economic capacity soared during the war as the North continued its rapid industrialization to suppress the rebellion. In the South, a smaller industrial base, fewer rail lines, and an agricultural economy based upon slave labor made mobilization of resources more difficult.
Which US government agency is responsible for regulating medications?
A. Department of Health and Human Services
B. National Institutes of Health
C. United States Department of Agriculture
D. Food and Drug Administration
D. The FDA is responsible for approving medicines.
Are the Janissaries treated differently than the other troops?
Answer:
The Janissaries were tied strictly to being able to perform military duties at any time, however the Sipahi were treated differently primarily in that they got their income from the land that was given to them from the Sultan under the timariot system.
Democracy, based on the rule of law, is ultimately a means to achieve international peace and security, economic and social progress and development, and respect for human rights – the three pillars of the United Nations mission as set forth in the UN Charter. At the 2005 World Summit, all the world’s governments reaffirmed “that democracy is a universal value based on the freely expressed will of people to determine their own political, economic, social and cultural systems and their full participation in all aspects of their lives” and stressed “that democracy, development, and respect for all human rights and fundamental freedoms are interdependent and mutually reinforcing”. Democratic principles are woven throughout the normative fabric of the United Nations. The 2009 Guidance Note on Democracy of the Secretary-General sets out the United Nations framework for democracy based on universal principles, norms and standards and commits the Organization to principled, coherent, and consistent action in support of democracy.
Answer:
Is it a question ⁉️
I think you wrote the answer!
(・∀・)(・∀・)(・∀・)
Which of the following was NOT a way in which the United States responded to the early stages of World War II? a. sent troops to Europe b. sold arms to the Allies c. built up its armed forces d. remained neutral Please select the best answer from the choices provided A B C D
A. Sent troops to Europe.
Explanation:
During the early stages of World War II, the United States did not want to be involved. A lot of the people in the United States, along with the government, were isolationists. This is the concept of not meddling in the affairs of other countries, both economic and political.
A lot of the people in the United States believed in isolationism after World War I. They saw how awful and drastic World War I was and the number of people that were lost, many people even losing friends or family members. This greatly turned people off from the premise of war, even people in the government who would not get involved.
This being said, the United States was still trying to help the Allies in any way they could without getting their hands dirty, so they weren't remaining neutral. They were selling arms and other war goods to the Allies in hopes of helping them, along with building up their own forces. The United States ended up finally joining World War II after the Japanese attack on Pearl Harbor, which was a United States naval base.
Do you know this it is for social studies
Answer:
Contention
A contention is like an assertion, especially in an argument. Another word for that is claim. Think claim like the kind of claim ur supposed to back up with evidence in an argumentative essay
None of the other words make sense
How did Andrew JacksonS style of governing differ from the presidents who came before him
Answer: \/ \/ \/
Explanation: Jackson was different. No one like him had ever served as president. He made executive decisions based on his personal beliefs and did what he could to protect the common man.
Do you know this for social studies
Answer:
show
This is the answer.
Why did Hitler prohibit marriage between Jews and people of “German blood"?
A.to limit the number of marriages taking place in Germany
B.to create a pure German "master race"
C.to create a pure Jewish "master race"
D.to ensure that enough unmarried men would be available for the army
Answer:
B. to create a pure German "master race".
Explanation:
Hitler believed in the "cleanliness" of a race, and strived for "pure-blood", in such a way as to embrace the usage of marrying only within one's kind, as well as eliminating any path in which dissent may be approached. As such, he created concentration camps, in which he shipped all undesirables that he was able to find, in an effort to create this pure-blood people that he so aspired too.
