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]
4 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]4 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
HELP!
kozerog [31]

Answer:

144

Step-by-step explanation:

................

3 0
3 years ago
Read 2 more answers
Find the surface area of the regular pentagonal pyramid.
mr_godi [17]
Area of each side triangle is 1/2*8*15 = 60. There are 5 of them so the triangles have surface area 300. the pentagon's area 1/2*apothegm*sidelength*sides = 1/2*5.5*8*5 = 110. The total area is therefore 300+110 = 410
3 0
3 years ago
Which of the following expressions is equivalent to 8 . 8 . 8 . 8 . 8 . 8​
pashok25 [27]
It’s 8^6, you’re correct :)
8 0
3 years ago
Read 2 more answers
……………..??????????????
padilas [110]
That’s a tricky stem and leaf plot, Anw as the key shows 11|6 =16

So the most common arm span is 12 the least commons are 11,17,19,22 which appear only one time. So I’d say there are no outliers
8 0
3 years ago
Eborah finds that the theoretical probability of flipping "heads" on a fair coin was 50%. After she flipped the fair coin 100 ti
eimsori [14]

Answer:

5%

Step-by-step explanation:

Given that:

Theoretical probability = 50%

The experimental probability = number of desired outcome / number of trials

Hence, experimental probability = 45 / 100 = 0.45

0.45 = 0.45 * 100% = 45%

Percentage difference in theoretical and experimental probability :

Theoretical - experimental

50% - 45% = 5%

3 0
3 years ago
Other questions:
  • A paper clip is just over 4 cm long. How many paper clips like this can be made from a straight piece of wire 10 meters long?
    12·1 answer
  • Can someone solve this? No guessing! Explain very well! Make sure the answer is right!
    15·1 answer
  • Darnell's car used 8 gallons of gasoline to travel 340 miles. after a mechanic worked on the car, it used 7 gallons of gasoline
    10·1 answer
  • 5a+7=4a+4 solve for a.​
    15·2 answers
  • How does f(x)=9^x change over the interval from x=8 to x=10
    15·1 answer
  • Which of the following is a like radical to 3x square root 5?
    10·1 answer
  • Kimmy drew the number line below and wrote the comparison shown. Is her comparison correct?
    5·2 answers
  • PLEASE HURRY<br> which ordered pair represents point D
    6·2 answers
  • WRITE AN EQUATION 331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students we
    6·1 answer
  • Katy is older than Alex and Beth. Sarn is
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!