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
aleksandrvk [35]
3 years ago
14

Suppose f is a differentiable function such that f′(x)≤2 for all x∈[1,3]. If f(1)=4, the Mean Value Theorem says that f(3)≤V for

what value of V? (Choose V as small as possible.)
Mathematics
1 answer:
Pavel [41]3 years ago
7 0

The MVT guarantees the existence of c\in(1,3) such that

f(c)=\dfrac{f(3)-f(1)}{3-1}=\dfrac{f(3)-4}2

Since f'(x)\le2 for all x\in[1,3], we have

\dfrac{f(3)-4}2\le2\implies f(3)-4\le4\implies f(3)\le8

so that V=8.

You might be interested in
The perimeter of a square plot of land is 64m. What is the area of the plot?
LenKa [72]
A square has 4 equal sides.

Perimeter is the distance around the square, so to find th side length divide the perimeter by 4.

64 / 4 = 16

 The sides of the square are 16 m each.

 Area = L x W

Area = 16 x 16 = 256 square meters

3 0
3 years ago
Read 2 more answers
Giving brainliest!!!Please help.. :(
RUDIKE [14]

A is the answer 5 times the sum of 3 and 4 then subtract 4

4 0
3 years ago
If z varies inversely as w and z=40 when w=0.1, find z when w=20
Alex_Xolod [135]
Z varies inversely as w ⇒  z*w=k
z=40 , w=0,1 ⇒40*0,1=4=k

z*20=4
z=4/20=1/5
z=0,2
4 0
3 years ago
A hyena can run one over four mile in 22.5 seconds. Which of the following correctly shows this rate as miles per hour?
KiRa [710]

Answer:

a

Step-by-step explanation:

8 0
3 years ago
PRE- CALC MATH HELP
icang [17]

just use the process of elemnation to firgure out the awsner to there question

3 0
3 years ago
Read 2 more answers
Other questions:
  • Vanya, a newborn going through a growth spurt, grew out of an average of 250 pairs of socks per month between January to March i
    15·2 answers
  • X to the third power = 539
    10·1 answer
  • Find the magnitude and direction of r + u
    9·2 answers
  • A rectangle is to be inscribed in a right triangle having sides of length 6 in, 8 in, and 10 in. Find the dimensions of the rect
    14·1 answer
  • Jen walked from home 6mi due north and then 8mi due west; she then walked back home on a direct line. How far did she walk altog
    15·1 answer
  • The question in the picture is the problem I need help with.​
    15·1 answer
  • The power of ten representation of four thousandths
    10·1 answer
  • What did she do wrong???
    7·2 answers
  • A firm has net working capital of $2,300 and current assets of $3,500. what is the current ratio?
    14·1 answer
  • A manager wants to test whether two normally distributed and independent populations have equal variances. the appropriate test
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!