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
Hi friend !!!!!!!!!!​
Jet001 [13]

Answer:

hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

5 0
3 years ago
Read 2 more answers
Connor is at the top of his class, has been accepted to his choice of colleges, and has a plan for the future. He gets along wel
alexandr402 [8]

Answer:

The correct answer is - <em>B) self-actualization.</em>

Explanation:

Within Abraham Maslow’s (1908 – 1970) theory of Hierarchy of Needs, <u>Connor is on the way to self-actualization, because</u>:

  • He is doing very well in his activities (<em>on top of his class</em>)  an have found the field that he is good at <em>(has been accepted to his choice of colleges</em>). It puts Connor on the initial stage of realizing his full potential.
  • He is content with his life choices and area of activities, which allows him to be supportive of others <em>(is the go to person when his friends have problems</em>). Conversely, if he was struggling and dissatisfied, he would not be able to help others.
  • Connor is <em>making plans for the future</em>, which is necessary to achieve the self-actualization bye realizing his full potential. For example, become successful surgeon.

8 0
3 years ago
It's important to recognize children when they follow the rules because not doing so can
nekit [7.7K]

<u>Answer:</u>

Option D. It's important to recognise children when they follow the rules because not doing so can cause them to act out to receive adult attention.

<u>Explanation:</u>

Every human being regardless of his age, expects validation and acceptance from the surrounding in which he lives, children aren’t an exception from the list.

It is most important to recognise the actions of the children when they follow the rules as doing so would encourage them to do the same action when they encounter the same situation in the future and helps in increasing the child’s self image, self esteem and emerging as a self regulating child.

In the case of not recognising the actions would lead to a situation where the children would start breaking the rules, just in order to grab your attention and this would continue in a cyclic manner if it is not treated effectively by the adults which will eventually lead to behavioural problems.

Hence the right answer is, Option D.

4 0
3 years ago
Nvm, Its C lol
kirill [66]

Answer:

c... converting indigenous peoples to roman Catholicism was a major motivation for Spain, whereas Great Britain emphasized economic and political control

Explanation:

i just took it

8 0
3 years ago
6 different types of people as roadway users
kupik [55]

Answer:

1. pedestrians

2. cyclists

3. motorists

4.vehicle passengers

5. horse riders

6. passengers of on-road public transport

(mainly buses and trams).

4 0
3 years ago
Read 2 more answers
Other questions:
  • What safety measures can employers use when workers are on a supported scaffold more than 10 feet above the working surface?
    12·1 answer
  • 50 POINTS AND BRAINLIEST You don't let Elvis off the hook so easily. His sign obviously says that his eyes are terrible. "Fine,
    13·1 answer
  • Having which trait will enable you to deal with people in a way that does not offend them?
    6·1 answer
  • Why do some historians argue that the advent of agriculture was an unfortunate development?
    12·1 answer
  • Describe the effect of the 2008 global recession
    15·1 answer
  • All of the following are counted in the nation's current account except:
    7·1 answer
  • If someone answers these two I'll give 5 stars + Thanks + Brainliest!
    10·1 answer
  • What is the main purpose of goal in our life ?​
    12·2 answers
  • Lila is a track and field athlete. She must complete four laps around a circular track. The track itself is a 400 meter track an
    15·2 answers
  • Why do young people need to grow and reach their full potential?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!