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
Delvig [45]
3 years ago
5

Use differentials to approximate the change in the volume of a cube when the side is decreased from 8 to 7.99 cm. (in cm3)

Mathematics
1 answer:
Firlakuza [10]3 years ago
4 0

Answer:

  -1.92 cm³

Step-by-step explanation:

The formula for the volume of a cube in terms of side length is ...

   V = s³

Then the first-order approximation of volume for a small change ∆s in side length is ...

  V(s +∆s) ≈ V(s) + V'(s)·∆s

and the change in volume is ...

  ∆V ≈ V(s +∆s) -V(s) = V'(s)·∆s

The derivative V'(s) is ...

  V'(s) = 3s²

so the change in volume for s = 8 cm and ∆s = -0.01 cm is ...

  ∆V ≈ 3s²·∆s = 3(8 cm)²(-0.01 cm) = -1.92 cm³

 

You might be interested in
If y varies directly as x, and y = 12 when x = 72, then what is the value of x when y = 3 ?
qwelly [4]

Answer:

x = 18

Step-by-step explanation:

difference between y = 12, x=72 is 6

so if y = 3 then multiply 3×6 = 18

8 0
2 years ago
Read 2 more answers
there are about 290 kids in a school. if there are 14 teachers and 5 subs how many kids would be in a class with teachers and su
Korolek [52]
If there is 290 kids,14 teachers, and 5 subs the you have to do adding
                            There is 309 kids with teachers and subs! Hope it               209                          helps! Happy Halloween!!!
  14
<u>+  5
</u> 309<u>
</u>
7 0
3 years ago
Read 2 more answers
Pzz help! Gender is a type of which data?
qwelly [4]
DD continous quantitative
5 0
3 years ago
Read 2 more answers
. A fence encloses a triangular field. There is
poizon [28]

Answer:

  • 16 posts

Step-by-step explanation:

<u>Sides are:</u>

  • 20 ft, 25 ft and 35 ft

<u>There are following number of posts on each of the sides:</u>

  • 20 ft side ⇒ 20/5 = 4
  • 25 ft side ⇒ 25/5 = 5
  • 35 ft side ⇒ 35/5 = 7

<u>Total number:</u>

  • 4 + 5 + 7 = 16 posts
6 0
3 years ago
The distance between two cities is 325 miles.
Papessa [141]
About 50 miles. hope this helps!
8 0
3 years ago
Read 2 more answers
Other questions:
  • bill is currently twice as old as John in 10 years their combined age will be 44 how old is Bill now.
    11·1 answer
  • WILL GIVE BRAINLEST SUPER EASY A coyote can run up to 43 miles per hour while a rabbit can run up to 35 per hour. Write two equi
    7·1 answer
  • −\frac{7}{10} ÷\frac{2}{5}
    12·1 answer
  • During a football game a concert in stenciled family three hamburgers and two white dogs for a total of $13 and another family t
    5·1 answer
  • I need help asap !!!!!!
    9·1 answer
  • I am having a party. I want to buy a pound and a half of mixed nuts. one third is walnuts, and two thirds is almonds. the total
    10·1 answer
  • What is the value of v in 2.5v = 125
    15·2 answers
  • (HELP PLS EASY PROBLEM ILL GIVE BRAINLY, I KNOW IT SEEMS LIKE ALOT BUT ITS EZ)
    12·1 answer
  • it is 20 miles from the airport to the hotel. The driver says that there is 1/8 of the total distance left to travel. What dista
    5·1 answer
  • Which expression represents half of a number,n,plus 3?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!