1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
uranmaximum [27]
3 years ago
14

The graph of x^2=-2+y+5cosy is shown for y=11

Advanced Placement (AP)
1 answer:
erik [133]3 years ago
5 0

(a)

We have been given an equation x^{2}=-2+y+5cosy. Upon taking derivative of this equation with respect to x on both the sides, we get:

2x=0+\frac{dy}{dx}+5(-siny)\frac{dy}{dx}\\2x=(1-5siny)\frac{dy}{dx}\Rightarrow \frac{dy}{dx}=\frac{2x}{1-5siny}

(b)

In order to write the equation of tangent line, we need to find the slope of the line. We know that point (3,11) lies on the graph. Therefore, we write the slope of the tangent as:

\text{Slope}=\frac{dy}{dx}=\frac{2(3)}{1-5sin(11)}=1

Therefore, equation of tangent line is:

y-y_{1}=m(x-x_{1})\Rightarrow y-11=1(x-3)\\y-11=x-3\\y=x+8

(c)

We know that slope of tangent is given as \frac{dy}{dx}=\frac{2x}{1-5siny}. The tangent will be vertical when denominator of slope is zero, that is:

1-5siny=0\Rightarrow siny=\frac{1}{5}\Rightarrow y=arcsin(\frac{1}{5})\\y=1.732,1.525, 3.063 \text{ etc.}

You might be interested in
Doctors chase and Sanborn are conducting an experiment on effects of caffeine on memory. Participants are randomly assigned to a
STatiana [176]
The variable is the group that was given caffine, because thats what the doctors manipulated. They possibly altered the natural memory of the participants by giving them caffine. A more specific variable could be how much caffine each participant is given and what time are they given it.
6 0
3 years ago
Lindemann suggested to the world, in 1966, that there was a fifth primary taste called what
gavmur [86]

Answer:

your mom

Explanation:

7 0
3 years ago
Compare and contrast United States society in the 1920’s and the 1950’s with respect to two of the followings:
Sergio039 [100]

Race relations would be seperated between the white and black. Role of women would be to do housework. And i'm not sure for the Consumerism

3 0
3 years ago
Urgent!
PilotLPTM [1.2K]

Self-control could be defined as the conscious ability to regulate impulses voluntarily, if we don't feel self-control relational processes becomes disrupted.

Self-control is the ability to regulate emotions, thoughts and behaviors effectively in different situations.

  • A person with self-control can manage their emotions and regulate her behavior, copes with setbacks with serenity, has patience and understanding in relational processes.

  • Lack of self-control affects the ability to establish and maintain positive and rewarding relationships with diverse individuals and groups through communication, social commitment, and teamwork.

Therefore, we can conclude that self-control allows to regulate emotions, thoughts and behaviors, giving the possibility of choosing actions and reactions to stimuli, with the aim of achieving a greater personal and relational balance.

Learn more about self-control here: brainly.com/question/12787425

7 0
2 years ago
सवाल 1- बाप ने बेटी को 1 गिफ्ट दिया और कहा भूख लगे तो खा लेना, प्यास लगे तो पी लेना और ठंड लगे तो जला लेना, ये गिफ्ट क्या है।
ser-zykov [4K]
The answer is coconut. The daughter can eat it if she is hungry, as the coconut is rich in nutrients. If she is thirsty, she can drink the coconut water. If she feels cold, she can burn it and use it to warm herself. So, the father gifted his daughter the coconut, i.e., nariyal in Hindi.
3 0
3 years ago
Other questions:
  • How is religion related to food, language, and architecture?
    10·2 answers
  • **80 Points** Please Answer!
    5·2 answers
  • When properly applied to a dog, the loose end of the training collar is
    10·2 answers
  • Rachel's parents enrolled her in your afterschool program in September. In October, Rachel and another girl named Callye started
    11·1 answer
  • Did Thomas Jefferson see the Missouri compromise a success
    6·1 answer
  • What can be an issue when looking at survey data? - AP PSYCHOLOGY
    7·1 answer
  • In anatomy class, test scores were determined to be 20 times the number of hours, h, the student studied plus 4. Which of the fo
    10·1 answer
  • Comparing and contrasting about racism in the US Essay on The Paranoid Style of American Policing and The Fourth of July
    10·1 answer
  • Complete the statement below.
    13·2 answers
  • 3. Alin ang produkto at serbisyo sa sumusunod na pangungusap? A Nagbabasa si Mang Tom ng diyaryo. B. Gumagawa ng bag si Mang Tom
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!