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
Kelly’s parents owned three major car dealerships in the greater Los Angeles area. The dealerships they only have a very success
kvv77 [185]
The answer would be Class system. The class system in social studies setting refers to the system to decide social rank that based on accomplishment and personal merits.
The status that Kelly's family get in the society is based on their diligent work in taking care of the merchant auto business.
6 0
3 years ago
Is psat 8/9 easy please tell me i have to take it
Zanzabum

Answer:

It depends if you know what to do

Explanation:

Hope this helps

8 0
3 years ago
Read 2 more answers
URGENT(AP WRLD HISTORY):
kykrilka [37]

Answer:

Turks spread the hegemony of Islamic political systems by adopting Muslim titles instead of other options available. This is seen in the eleventh and twelfth centuries when, “rulers began to claim the Muslim title of sultan”. This adoption of Islamic political systems in the area greatly influenced the religion that populated the region.

Explanation:

3 0
3 years ago
Read 2 more answers
Do you think that Lincoln measures to deal with disloyalty and dissent represented an abuse of power?
Tamiku [17]
Lincoln abused his power by overstepping the constitutional boundaries. Lincoln did not abuse his power because he was justified in limiting civil liberties to save the Union.

Choose which u think is best for u
6 0
3 years ago
Read 2 more answers
What are the similarities and differences between neurotransmitters and hormones
MatroZZZ [7]
Neurotransmitters work locally and their actions are very fast. Both hormones and neurotransmitters act as chemical messengers in the body. However, neurotransmitters' actions are short-lived while hormones act for longer periods of time. Neurotransmitters are delivered through the bloodstream, whereas hormones are found primarily in the synaptic cleft. Hormones are mostly released by glands, whereas neurotransmitters are made in the cell body of the neuron.
8 0
1 year ago
Other questions:
  • “Urban Populations” should fall under which sections of your organizer?
    11·2 answers
  • About 8% of the world's population is said to have blue eyes. What is the probability that in a random sample of 1,000 people, m
    6·1 answer
  • To overcome difficulties in relationships, both parties must be accommodating. Which of the following behaviors reflect a spirit
    11·1 answer
  • What is a paragraph proofWhich list contains terms related to the upper extremities?
    8·1 answer
  • Are some personality traits more basic or important than others?
    7·1 answer
  • Who has read and then there were none if you have awncer this qustion please
    6·1 answer
  • Buildings r cool⁉️⁉️⁉️⁉️⁉️⁉️⁉️
    14·2 answers
  • the habit of thinking of a people is an essential part of their culture. How does this observation explain the relationship betw
    7·1 answer
  • Which of the following shows the correct order of the energy transformations that occur when green plants produce their food fro
    5·1 answer
  • In a different experiment, NH 3gas and HCl gas are introduced into an empty 1.00 L vessel at 25°C. The initial partial pressure
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!