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
Klio2033 [76]
3 years ago
11

Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = ln x, [1,7] choose one letter t

hen find c= A.Yes, it does not matter if f is continuous or differentiable, every function satisfies the Mean Value Theorem. B.Yes, f is continuous on [1, 7] and differentiable on (1, 7). C.No, f is not continuous on [1, 7]. D.No, f is continuous on [1, 7] but not differentiable on (1, 7). E.There is not enough information to verify if this function satisfies the Mean Value Theorem. If it satisfies the hypotheses, find all numbers c that satisfy the conclusion of the Mean Value Theorem. (Enter your answers as a comma-separated list. If it does not satisfy the hypotheses, enter DNE). C=
Mathematics
1 answer:
inn [45]3 years ago
7 0
ANSWER

B.Yes, f is continuous on [1, 7] and differentiable on (1, 7).

c\approx 3.08

EXPLANATION

The given

f(x) = ln(x)

The hypotheses are

1. The function is continuous on [1, 7].

2. The function is differentiable on (1, 7).

3. There is a c, such that:

f'(c) = \frac{f(7) - f(1)}{7 - 1}

f'(x) = \frac{1}{x}

This implies that;

\frac{1}{c} = \frac{ ln(7) - 0}{6}

\frac{1}{c} = \frac{ ln(7)}{6}

c = \frac{6}{ ln(7) }

c\approx 3.08

Since the function is continuous on [1, 7] and differentiable on (1, 7) it satisfies the mean value theorem.
You might be interested in
The sum of two polynomials is 8d5 – 3c3d2 + 5c2d3 – 4cd4 + 9. If one addend is 2d5 – c3d2 + 8cd4 + 1, what is the other addend?
Anit [1.1K]

Answer: The correct option is A.

Step-by-step explanation: We are given a polynomial which is a sum of other 2 polynomials.

We are given the resultant polynomial which is : 8d^5-3c^3d^2+5c^2d^3-4cd^4+9

One of the polynomial which are added up is : 2d^5-c^3d^2+8cd^4+1

Let the other polynomial be 'x'

According to the question:

8d^5-3c^3d^2+5c^2d^3-4cd^4+9=x+(2d^5-c^3d^2+8cd^4+1)

x=8d^5-3c^3d^2+5c^2d^3-4cd^4+9-(2d^5-c^3d^2+8cd^4+1)

Solving the like terms in above equation we get:

x=(8d^5-2d^5)+(-3c^3d^2+c^3d^2)+(5c^2d^3)+(-4cd^4-8cd^4)+(9-1)

x=6d^5-2c^3d^2+5c^2d^3-12cd^4+8

Hence, the correct option is A.

5 0
3 years ago
Read 2 more answers
When Jupiter and Earth are closest to each other, they are about 365 million miles apart. Express this distance in scientific no
SCORPION-xisa [38]

3.65 e8

Step-by-step explanation:

The scientific notation e mean ‘10 raised to a particular power’. Therefore e8 is equivalent to 10 ^ 8.

We count the number of tens to the decimal point. In this case;

365000000

3.65000000

The decimal is <u>8</u><u> place values </u>from the right (since this is a whole number)

6 0
3 years ago
3x2 - 5x + 6) + (9 - 8x - 4x2)
Ksju [112]

Answer:

13-13x

Step-by-step explanation:

3*2=6

(6-5x+6) + (9-8x-8)

Combine Like Terms

(12-5x) + (1-8x)

Put x on one side and numbers on the other.

(12+1) + (-5x+ (-8x))

13-13x

8 0
3 years ago
The amount of daily time that teenagers spend on a brand A cell phone is normally distributed with a given mean mc027-1.jpg = 2.
ivolga24 [154]
<span>16% is the answer Fam.....................................</span>
4 0
3 years ago
Read 2 more answers
Solve the equation for y<br> y +5=-(x – 3)
goldenfox [79]

Answer:

y=-x-2

Step-by-step explanation:

y+5=-(x-3)

y+5=-x+3

y=-x+3-5

y=-x-2

6 0
2 years ago
Read 2 more answers
Other questions:
  • Find the value of x.
    5·1 answer
  • Since the sample size is always smaller than the size of the population, the sample meana. must always be smaller than the popul
    9·2 answers
  • The average age at which adolescent girls reach their adult height is 16 years. Suppose you have a sample of 29 adolescent girls
    5·1 answer
  • There are 18 pencils for $2.36 how much would it be for one
    10·1 answer
  • Find the area of the trapezoid with bases of 10 in and 14 in, and a height of 5 in.
    8·1 answer
  • Leslie surveyed her classmates to find out which instrument they like best. She wants to make a circle graph to display the resu
    15·2 answers
  • Vocabulary How can you tell when an equation in one variable has infinitely many solutions or no solution? When you solve for th
    14·1 answer
  • Find the equation of the line that contains the point (21,27) and is parallel to the x-axis.
    10·1 answer
  • 11. Kamala borrowed 26400 from a bank to buy a scooter at a rate of 15% per annum compounded yearly. What amount will she pay at
    11·2 answers
  • Exterior angle theorem
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!