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
Alex
3 years ago
15

a. Determine whether the Mean Value Theorem applies to the function f (x )equals ln 15 xf(x)=ln15x on the given interval [1 comm

a e ][1,e]. b. If​ so, find or approximate the​ point(s) that are guaranteed to exist by the Mean Value Theorem.
Mathematics
1 answer:
ivolga24 [154]3 years ago
5 0

Answer:

(a)

The function f is continuous at [1,e] and differentiable at (1,e), therefore

the mean value theorem applies to the function.

(b)

c = e-1 \\ = 1.71828

Step-by-step explanation:

(a)

The function f is continuous at [1,e] and differentiable at (1,e), therefore

the mean value theorem applies to the function.

(b)

You are looking for a point c   such that

\frac{1}{c} = \frac{\ln(15e)-\ln(15*1)}{e-1} = \frac{\ln(15e/15)}{e-1} = \frac{\ln(e)}{e-1} = \frac{1}{e-1}

You have to solve for c  and get that

c = e-1 \\ = 1.71828

You might be interested in
What is x?<br> 33x+2=68<br> Give brainliest
ruslelena [56]

Answer:

2

Step-by-step explanation:

subtract 68 by 2, then divide by 33

5 0
3 years ago
Look at the construction. Which statement is false? on all the answers there is a line above each set of letters I cant get to d
san4es73 [151]
XY>XA
<span>XA ≡ YA
XP ≡ PY</span>

Then, the first statement XA ≡ XY is false
4 0
3 years ago
Read 2 more answers
5 hundreds 4 tens =_____ tens
andreev551 [17]

there are 10 tens per hundred

5 x 10 = 50 tens for five hundred add 4 tens

 so 54 tens

5 0
3 years ago
What is the height of the boat in the scale model?<br> What length is the real boat?
Thepotemich [5.8K]

Answer:

15

Step-by-step explanation:

6 0
3 years ago
What is the HIGHEST COMMON FACTOR of 36 81
elena55 [62]

Answer: 9

Explanation: 3 x 3 is the gcf of 36 and 81. gcf (36,81) = 9.

7 0
3 years ago
Read 2 more answers
Other questions:
  • Which expression is equal to 10/√50<br><br> Please show work thx:)
    11·2 answers
  • Line ef is tangent to circle G at point P. The the measure of cae is 95, what is the measure of cba
    14·2 answers
  • I need help please, i don’t not understand
    12·1 answer
  • Plez help I need this for homework now
    6·2 answers
  • Which of the following terms is a set of all points in a plane that are a given distance from a point?
    8·2 answers
  • E.J. calls people at random to conduct a survey. So far, 40 calls have been
    12·2 answers
  • I will give brainliest to whoever helps me with this question. Also, if you could please explain to me how you solved it I would
    7·1 answer
  • Please help me on this!!! I’d really appreciate it!!!
    15·1 answer
  • PLEASE HELP ITS DUE TODAY PLEASE HELP ASAP 15 POINTS PLEASE HELP​
    15·2 answers
  • Edna is fishing from a small boat. A fish swimming at the same depth as the hook at the end of her fishing line is 12 feet away
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!