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
Nitella [24]
3 years ago
12

Given that y=x^(1/3) , use calculus to determine an approximate value for ∛8030

Mathematics
1 answer:
Alex777 [14]3 years ago
8 0
F(x) = x^(1/3)
f(8000) = 8000^(1/3) = 20

f'(x) = 1/3 * x^(-2/3)
f'(x) = 1/(3x^(2/3))
f'(8000) = 1/(3*8000^(2/3)) = 1/(3*400) = 1/1200

Linear approximation for f(x) about x = 8000
L(x) = f(8000) + f'(8000) (x−8000)
L(x) = 20 + 1/1200 (x−8000)

8030^(1/3) ≈ L(8030)
= 20 + 1/1200 (8030−8000)
= 20 + 30/1200
= 20 + 1/40
= 20.025
You might be interested in
while shopping at a clearence sale samantha finds a $60 dress on sale for 25% off. samantha also finds a 50% off coupon.
tatuchka [14]
She would pay 15 dollars for the dress because it would be 75 percent off. 

6 0
3 years ago
¿Cómo las razones de seno y cos<br>eno son semejantes?​
Sauron [17]
Las razones de los lados de un triángulo rectángulo se llaman razones trigonométricas.

Espero te ayude :)
6 0
2 years ago
Which expressions is equivalent to (x+2)(3x-3)
max2010maxim [7]

Answer:

Step-by-step explanation:

(x+2)(3x-3)

= 3x^2 -3x + 6x - 6

= 3x^2 + 3x - 6

6 0
3 years ago
What does 8k + 3 + 4k=
Svetach [21]
3(4k+1) is the result I hope it helps you
7 0
3 years ago
Read 2 more answers
Rachel drove 320 miles at a rate of 50 miles per hour. How long did it take her to drive that distance
prisoha [69]

Answer:

320/50=6.4

Step-by-step explanation:

Distance + time would give you your SPEED

So you would divide it not multiply

Brainliest plz

6 0
3 years ago
Read 2 more answers
Other questions:
  • last year, kendra was 4.5 feet tall, and she weighed 60 pounds. this year, she's 5.5 feet tall, and she weighs 70 pounds. did he
    13·1 answer
  • The diameter of a circle is 18 cm. What is its area in terms of π.
    9·2 answers
  • What are the solutions to 5x²-17x-6=0?
    6·1 answer
  • UGH these math problems tho please help!
    6·2 answers
  • Which direction does the graph of the equation shown below open?<br><br> y2+16y-4x+4=0
    9·2 answers
  • 4. If 7a = 14, then 12a -
    5·2 answers
  • P(a number greater than 3 and C
    8·1 answer
  • A tire rim has a diameter of 15 in. What is the circumference of the tire rim? Use 3.14 for Pi.
    9·1 answer
  • Please help ;-; i need this by tomorrow
    11·1 answer
  • Help please!!! i need to finish it!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!