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
lisabon 2012 [21]
2 years ago
5

Find the equation of the tangent line. y=(9-x^2)^1/3 at (1,2)​

Mathematics
1 answer:
Schach [20]2 years ago
7 0

Get the derivative:

<em>y</em> = (9 - <em>x</em>²)¹ʹ³

d<em>y</em>/d<em>x</em> = 1/3 (9 - <em>x</em>²)⁻²ʹ³ d/d<em>x</em> [9 - <em>x</em>²]

d<em>y</em>/d<em>x</em> = 1/3 (9 - <em>x</em>²)⁻²ʹ³ (-2<em>x</em>)

d<em>y</em>/d<em>x</em> = -2/3 <em>x</em> (9 - <em>x</em>²)⁻²ʹ³

Evaluate it at <em>x</em> = 1 :

d<em>y</em>/d<em>x</em> (1) = -2/3 • 8⁻²ʹ³

Since 8 = 2³, we have

8⁻²ʹ³ = 1 / 8²ʹ³ = 1 / (2³)²ʹ³ = 1 / 2² = 1/4

Then the tangent line has equation

<em>y</em> - 2 = 1/4 (<em>x</em> - 1)   →   <em>y</em> = 1/4 <em>x</em> + 7/4

You might be interested in
T increased by r the answer
erma4kov [3.2K]
So r is a number that when you add to t it will increase so its

T + r
8 0
3 years ago
Read 2 more answers
How do i solve this question 58−(14)2
Naily [24]

Answer:

PEMDAS RULE

Step-by-step explanation:

STEP one is multiplication 58-14x2=58-28

STEP two is subtraction 58-28=30

Parenthesis

Exponent

Multiplication

Division

Addition

Subtract

3 0
3 years ago
Read 2 more answers
Is (-1,2) a solution of the system y&gt;x and x+y=&gt;
valentina_108 [34]
(-1,2) is a solution

y>x

2>-1 is correct

in this case yes

x+y≥x

 -1+2≥-1 

1≥-1 is correct: Yes

in this case no

x+y≥y

1≥2 

is not correct. No


8 0
3 years ago
From a phone survey, a researcher determined that the true estimate for the proportion of voters who will reelect the mayor is l
patriot [66]
Here, p^ = (0.39 + 0.47)/2 = 0.43

The given interval is (0.43 - 0.04, 0.43 + 0.04).

Therefore, the margin of error is 0.04.
8 0
3 years ago
Solve the radical equation. Be sure to check all solutions to eliminate extraneous solutions.
Liono4ka [1.6K]

The solution of the radical equation is x = 5 / 3.

<h3>How to solve radical equation?</h3>

The radical equation can be solved by isolating x.

Therefore, the radical equation can be solved as follows:

√3x - 1   - 2 = 0

add 2 to both sides

√3x - 1   - 2 = 0

√3x - 1   - 2 + 2 = 0 + 2

√3x - 1 = 2

square both sides

√3x - 1 = 2

(√3x - 1 )² = 2²

Hence,

(√3x - 1 )² = 2²

3x - 1 = 4

Therefore, add 1 to both sides

3x - 1 = 4

3x - 1 + 1 = 4 + 1

3x = 5

divide both sides by 3

3x  = 5

3x / 3 = 5 / 3

x = 5 / 3

Therefore, the solution of the radical equation is x = 5 / 3.

learn more on radical equation here: brainly.com/question/28442352

#SPJ1

7 0
1 year ago
Other questions:
  • In circle Y, what is m?<br> 82°<br> 100°<br> 106°<br> 118°
    15·2 answers
  • In terms of the scientific method, the purpose of an experiment is
    9·1 answer
  • Nik, a social worker for a county, helps county residents who are struggling with different issues. Nik logs the following hours
    6·1 answer
  • wo positive integers are 3 units apart on a number line. Their product is 108. Which equation can be used to solve for m, the gr
    11·2 answers
  • Need it answered ASAP answer choices is <br> A. 1.72<br> B. -.22<br> C. .75<br> D. 3
    14·1 answer
  • What is the quotient?<br><br> -4/5 *2
    15·1 answer
  • Last month you spend $30 on clothing this month you spent 160% of what you spent last minute set up a proportion to model this s
    7·1 answer
  • Please explain how do i fill in the blank and how do i get the answer
    14·2 answers
  • GIVING BRAINLIEST!!!!!!!
    5·1 answer
  • I need a serious help!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!