consider the curve defined by x^2/16 - y^2/9 = 1. it is known that dy/dx = 9x/16y and d^2y/dx^2 = "-81/" 16y^3. which of the following statements is true about the curve in quadrant iv?

Consider The Curve Defined By X^2/16 - Y^2/9 = 1. It Is Known That Dy/dx = 9x/16y And D^2y/dx^2 = "-81/"

Answers

Answer 1

The statement that is true about the curve in quadrant iv is option D.

How to explain the information

In Quadrant IV, x is positive and y is negative. The curve defined by x^2/16 - y^2/9 = 1 is a hyperbola. The derivative dy/dx gives the slope of the tangent line to the hyperbola at any point.

In Quadrant IV, x is positive and y is negative, so both dy/dx and 9x/16y are negative. Therefore, the slope of the tangent line to the curve is negative in Quadrant IV.

The second derivative d^2y/dx^2 gives the concavity of the curve. In Quadrant IV, y is decreasing and d^2y/dx^2 is negative, so the curve is concave down in Quadrant IV.

Learn more about quadrant on

https://brainly.com/question/28587485

#SPJ1


Related Questions

which of the following tools are most appropriate for inside measurements​

Answers

Inside micrometers, calipers, and dial indicators are the most appropriate tools for inside measurements.

Consider the curve defined by x^2/16 - y^2/9 = 1. It is known that dy/dx = 9x/16y and d^2 y/dx^2 = -81/ 16y^3. Which of the following statements is true about the curve in Quadrant IV?

Answers

Answer: A i think

Explanation:

sorry if i sam wrong

In Quadrant IV, x is positive and y is negative.

The curve defined by x^2/16 - y^2/9 = 1 is a hyperbola. The derivative dy/dx gives the slope of the tangent line to the hyperbola at any point.

In Quadrant IV, x is positive and y is negative, so both dy/dx and 9x/16y are negative. Therefore, the slope of the tangent line to the curve is negative in Quadrant IV.

The second derivative d^2y/dx^2 gives the concavity of the curve. In Quadrant IV, y is decreasing and d^2y/dx^2 is negative, so the curve is concave down in Quadrant IV.

Therefore, the curve is decreasing and concave down in Quadrant IV.

Martina’s doctor explains to her that endorphins are released in the body during exercise. What MOST likely happens to Martina when these endorphins are released in her body?
A. She feels great and wants to keep moving. B. She becomes sad and stops all activity. C. She feels ill and needs to see a doctor immediately

Answers

The MOST likely thing to happens to Martina when these endorphins are released in her body is option A. She feels great and wants to keep moving.

What is the endorphins?

Endorphins are a sort of neurotransmitter that can offer assistance to diminish torment, progress temperament, and advance sentiments of well-being. When endorphins are discharged amid work out, it can deliver a feeling of happiness or "runner's tall."

This feeling can energize individuals to proceed working out and may contribute to the positive impacts of customary physical action on mental wellbeing.

Learn more about endorphins  from

https://brainly.com/question/1037714

#SPJ1

Need this as well bc I'm still not getting this concept!

Answers

The size and quality of the interval is A. M3.

How to explain the interval

The major third interval is an abstraction of two notes spaced two whole steps apart, such as the relation between C and E. This musical interplay is denoted by the abbreviation M3, while the minor third can be identified as m3. An alternate spelling of a major third is declined fourth.

Moreover, this interchange is of great significance when considering chords; it's the presence of a major or minor third that determines the chord's tonal value. Generally speaking, those joined by a major third are evaluated to be major chords - for example, C (consisting of C, E, G) and Cmaj7 (comprising C, E, G, B).

Learn more about interval on

https://brainly.com/question/479532

#SPJ1

A. Identify ONE significance of Confucianism in the Song Dynasty.


B. Identify ONE challenge to the authors assertion that fraternal relations were "a structural weakness" in China.


C. Identify ONE cultural change that occurred in China during the period 1200-1450.

Answers

A. One significance of Confucianism in the Song Dynasty was its emphasis on education and the civil service exam system, which replaced recruitment based on family connections and wealth. This allowed for more social mobility and merit-based appointments to government positions.

B. One challenge to the author's assertion that fraternal relations were "a structural weakness" in China is that this claim overly simplifies the complexity of familial relationships in Chinese culture. While fraternal ties could lead to conflicts of interest and power struggles, there were also strong familial bonds that fostered loyalty and cooperation, particularly in times of crisis.

C. One cultural change that occurred in China during the period 1200-1450 was the spread and adoption of Neo-Confucianism. This philosophy combined Confucianism, Taoism, and Buddhism, and emphasized personal morality and spiritual self-cultivation, rather than just political and social harmony. This led to the development of new styles of literature, art, and architecture that reflected these values.

2. PART B: Which paragraph from the text best supports the answer to Part A?
A. Paragraph 5
B. Paragraph 6
C. Paragraph 11
D. Paragraph 12

Answers

The clues show that the paragraph from the textsl that best supports the answer to Part A is C. Paragraph 11

What are clues?

Context clues help to find the meaning of a word taking into account the words that surround the unknown word that make us infer the meaning.

This means that they help to infer the meaning of unknown words with the help of nearby words.

It should be noted this was from the excerpt, where lovers dream. In this case, the correct option is C.

Learn more about context clues on

https://brainly.com/question/11247029

#SPJ1

Write an essay where you describe a specific time when you have had to think about traditional
gender roles. For example, in your current living situation or when you were growing up, did you
see traditional gender roles played out, such as kitchen chores, etc? Describe what your own
experience is/was like.
Remember to offer specific examples to support your ideas. You are welcome and encouraged
to use anecdotes from your own life or the lives of others.
Remember you must smoothly integrate at least one quote in your response. You must also
effectively integrate summary/and or paraphrase from the article. ( 500-750 words)

Answers

Growing up in a conservative household, traditional gender roles were a constant topic of discussion. My parents firmly believed that men should be the providers and women should be the caregivers. As a result, my brother and I were raised with very different expectations and responsibilities.

One of the most striking examples of this was in the kitchen. My mother was expected to do all of the cooking and cleaning, while my father rarely set foot in the kitchen. Even as a child, I could see the unfairness in this division of labor. My mother worked just as hard as my father, but she was never given the same opportunities to rest and relax. Instead, she was always on call, ready to cook, clean, or care for my brother and me.

Despite my parents' expectations, my brother and I were not immune to the effects of traditional gender roles. As the oldest child, I was often expected to help my mother in the kitchen, while my brother was given a free pass. I was taught how to cook, clean, and care for children, while my brother was taught how to fix cars and mow the lawn. While I enjoyed learning these skills, I couldn't help but feel that my brother was getting the better end of the deal.

As I grew older, I began to question these gender roles more and more. I saw how they limited my mother's opportunities and left her feeling unfulfilled. I also saw how they limited my own opportunities and forced me into a narrow box of expectations. I began to wonder why gender had to be such a defining factor in our lives.

One day, I decided to confront my parents about their views on gender roles. I asked them why they believed that men and women should have such different expectations and responsibilities. My father responded that it was simply the way things had always been done. My mother responded that she didn't mind doing the cooking and cleaning, as long as it meant that she could stay home with her children.

I was disappointed by their responses, but I wasn't surprised. Traditional gender roles are deeply ingrained in our society, and it can be difficult to break free from them. However, I refused to let these expectations limit my own life. I continued to pursue my interests in science and technology, even though these fields are often seen as "masculine." I also continued to cook and clean, but I did it on my own terms, not because I felt like I had to.

In recent years, society has become more accepting of non-traditional gender roles. Women

Imagine the clock in the Gizmo

Answers

Answer:

what? Is there a question you need me to answer?

Explanation:

Read Mitch Landrieu’s speech on pp. 1093–1101 of your textbook, and read Lawrence A. Kuznar’s op-ed in PDF or word-processing format. Present your position on the issue by addressing a counterargument. Use evidence to demonstrate that all or part of the opposing position or claim is untrue or invalid. Use transitions appropriately to shift between ideas. Your response should include three paragraphs: one for introducing the issue, one for the rebuttal, and one for the conclusion.

For full credit, be sure that your response does all of the following.

Sufficiently addresses all parts of the prompt and incorporates your learning from the lesson (from 0 to 60 points)
Provides supporting evidence from the text or resource as requested in the prompt (from 0 to 20 points)
Uses correct grammar and mechanics (from 0 to 20 points)
Please note that point values are wide-ranging and approximate, as prompt specifications vary from lesson to lesson.

Answers

The issue of Confederate monuments has been a topic of discussion in recent years. Some argue that these monuments are an important part of American history, while others believe that they should be removed due to their association with slavery and racism. Mitch Landrieu’s speech on pp. 1093–1101 of your textbook provides a compelling argument for the removal of these monuments. However, Lawrence A. Kuznar’s op-ed in PDF or word-processing format presents a counterargument that suggests that these monuments should remain in order to preserve American history.

Kuznar argues that Confederate monuments should remain because they are an important part of American history and should not be erased. However, this position ignores the fact that these monuments celebrate a dark chapter in American history. Landrieu’s speech points out that these monuments were not erected to honor the history of the Confederacy, but rather to celebrate white supremacy and intimidate African Americans. In fact, many of these monuments were erected during the Jim Crow era as a way to assert white dominance over black citizens. By removing these monuments, we are not erasing history, but rather acknowledging the harm that they have caused and taking steps to move forward.

Furthermore, Kuznar’s argument ignores the fact that these monuments can be seen as a form of hate speech. As Landrieu points out, these monuments send a message that some people are not welcome in our communities. They serve as a reminder of the oppression and violence that African Americans have faced throughout history. By removing these monuments, we are sending a message that we do not tolerate hate speech and that we are committed to creating a more inclusive society.

In conclusion, while some argue that Confederate monuments should remain in order to preserve American history, this position ignores the fact that these monuments celebrate a dark chapter in our history and can be seen as a form of hate speech. By removing these monuments, we are acknowledging the harm that they have caused and taking steps to move forward.

Rotate (-7,17),(-3,17),(-7,14),(-3,14) 180degrees counterclockwise about the origin

Answers

When rotated around it's origin in 180 degrees counter clockwise direciton we have  (-17, - 7) (-17, -3), (-1 4, - 7), and ( -14, -3).

What is rotation in math?

To  rotate the above points, we have to do the following

Swap the x and y coordinates   of each point to find the corresponding point after a 90-degree counter  clockwise rotation about the origin.

 (-7, 17) becomes (17, 7)

(-3, 17) becomes (17, 3)

(-7,  14) becomes (14, 7)

(-3, 14) becomes (14,  3)

Swap the signs of the x and y coordinates of each point to find the corresponding point after a 180-degree   counter  clockwise rotation about the  origin

(17, 7) becomes (-17, -7)

(17, 3)  becomes (-17, -3)

(14, 7) becomes (-14, -7)

(14, 3) becomes  (- 14, -3)

So this gives  (-17, - 7) (-17, -3), (-1 4, - 7), and ( -14, -3).

Learn more about rotation:
https://brainly.com/question/1571997
#SPJ1

The _______________________ of the ________________________ is the idea that humans tendto use _________________ resources in their own _________________________, rather than inkeeping with the common ___________________.

Answers

Answer:

The tragedy of the commons is the idea that humans tend to use shared resources in their own self-interest, rather than in keeping with the common good.

Explanation:

Other Questions
The nurse understands that palliative surgery is intended to: What gives legislators some political latitude when deciding how to vote on many issues? What factor helped Jackson get elected in 1828? Use the _____________ address to track a message and see all delivery attempt from the sender. Pre 7: Isolation of Caffeine from TeaWhat is the difference between the two terms "extraction" and "washing"? The freezing point of ethanol (CHOH) is -114.6 C. The molal freezing point depressionconstant for ethanol is 2.00 C/m. What is the freezing point (C) of a solution prepared bydissolving 40.0 g of glycerin (CHO, a non electrolyte) in 200.0 g of ethanol?A) -114.6 B) -115.0 C) -4.34 D) -132.3E) -118.9 Let and P be square matrices with invertible. Show that det (PAP-1) det A Rewrite det (PAP - 1) as an expression containing det Choose the correct answer below a. det (PAP-1) = [(det PYdet A)(det P-1)]-1 b. det t(PAP -1)= det P+ det A det P-1c. det (PAP -1) = (det PI(det AJ(det P - )d. det (PAP-1) = (det P +det A+det P -1) - The expression det P - can be rewritten in terms of det P Rewrite det P - in terms of det P det P - (det P) Using the Commutative Property and the equation in the previous step; the expression from the first step can be rewritten as ((det PI(det P) (det A) This new expression simplifies to det because (det P)det P) Thus det (PAP - 1 ) = det A How does smoking cessation affect FEV1? 7 over 10 p minus 4 equals negative 2 over 5 p minus 20. 5 helped the government raise needed funds for the war effort; also helped reduce inflation: a) Victory Gardens b) War Bonds c) Rationing d) Propaganda In general, will an electron need to always travel in the same direction as ("downstream" to) the magnetic field? Most database management systems support the creation of views. T/F A body of mass 1. 00kg is tied to a string androtates on a horizontal, frictionless table. A The length of the string is 40. 0cm and thespeed of revolution is 2. 0ms1. Calculate thetension in the string Which of the following is the best advice to follow when writing a summary?a. New technology allows users to hyperlink multimedia content within a document or with associated text or files.b. Condense the original ideas.c. Research indicates a correlation between strong writing skills and promotionsd. contractions (for example, wouldn't, don't, they're). Calculate the value of [H3O+] in a 0.18 M solution of aqueous aniline. Kb = 4.2 1010a. 1.2 109 Mb. 8.7 106 Mc. 2.0 105 Md. 1.0 107 Me. 4.2 1010 M You are part of a research team at a pharmaceutical company that is looking for hormones that regulate appetite and could be used to regulate body weight. You suspect that you have found a new hypothalamic hormone that regulates appetite. How could you prove that it acts to regulate appetite the areas on the periphery of cities in less developed countries are sometimes known as In Hey, Kiddo while on vacation what did Jarrett and his grandparents get dressed up to do? 5. A sample of unknown metal has a mass of 135 grams. As the sample cools from 100.5 C to 35.5 C, it releases 7500 joules of energy. What is the specific heat of the sample? Point of maximal impulse displaced towards the axillaDisease associated?