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
ololo11 [35]
3 years ago
13

Determine the value for c on {2, 5} that satisfies the Mean Value Theorem for f(x) = x^2 - 3 / x -1

Mathematics
1 answer:
yanalaym [24]3 years ago
4 0

Answer:

B. 3.

Step-by-step explanation:

OK lets try again.

The slope of the secant = slope of the tangent at a certain point ( The Mean Value Theorem).

Slope of the secant = f(5) - f(2) / (5 - 2)

= [(25-3) / (5-1)  - (4-3) / (2-1)] / 3

=  (22/4 - 1) / 3

= 9/2 / 3

= 9/6

= 3/2.

The derivative at c = the slope of the tangent at c.

Finding the derivative:

f'(x) =  [2x(x - 1) - (x^2 - 3) ]/ (x - 1)^2    (where x = c).

= (x^2 - 2x + 3)/ (x - 1)^2 = the slope.

So equating the slopes:

(x^2 - 2x + 3) / (x - 1)^2 = 3/2

2x^2 - 4x + 6 = 3x^2 - 6x + 3

x^2 - 2x - 3 = 0

(x - 3)(x + 1) = 90

x = 3 , -1

x can't be -1 because we are working between the values 2 and 5 so

x = c = 3.

You might be interested in
Which function has an inverse that is also a function?
Whitepunk [10]

Answer: theirs is no question

Step-by-step explanation:

5 0
3 years ago
The legs of a right triangle measure 6 inches and 9 inches. If is the angle between the 6-inch leg and the hypotenuse, sin = ___
mr Goodwill [35]
First find the length of the hypotenuse using pythagorean theorem
<span>c^2 = 5^2 + 7^2
c^2 = 25 + 49
c^2 = 64
c=8 (take the square root in both sides)
Since sin = opposite/hypotenuse,
sin = 5/8 = 0.625</span>
3 0
3 years ago
Who investigates civil rights violations and how are those violations tracked
laiz [17]
The FBI investigates civil right violations
6 0
3 years ago
A piece of plywood was cut so it's length was 7 feet by 3 feet what is the perimeter of the wood
lozanna [386]
7 times 2 will be 14 and 3 times 2 is 6. So you need to add 14 plus 6 and you get 20 :) Hope you enjoy!
5 0
3 years ago
Read 2 more answers
H. Four businessman invested a sum of Rs.
balandron [24]

Answer:

The answers are in solutions.

Step-by-step explanation:

  • Four businessmen invested a sum of Rs. 250,000 in the ratio of 3:5:7:10 to start a new business.

(i) The amount invested by each businessman is;

<u>1^st businessman invested:</u>

<u />

\frac{3}{25}  * 250,000 = Rs. 30,000

<u>2^nd businessman invested:</u>

<u />

<u />\frac{5}{25} * 250,000 = Rs. 50,000

<u>3^rd businessman invested:</u>

<u />

<u />\frac{7}{25} *250,000 = Rs. 70,000

<u>4^th businessman invested:</u>

<u />

\frac{10}{25} *250,000 = Rs. 100,000

  • If they gained Rs. 50,000

(ii) The profit each one of them got is;

<u>1^st businessman got:</u>

<u />

<u />\frac{3}{25} * 50,000 = Rs. 6,000

<u>2^nd businessman got:</u>

<u />

<u />\frac{5}{25} *50,000 = Rs. 10,000

<u>3^rd businessman got:</u>

<u />

<u />\frac{7}{25} *50,000 = Rs. 14,000

<u>4^th businessman got:</u>

\frac{10}{25} *50,000 = Rs. 20,000

8 0
3 years ago
Other questions:
  • paula sold 45 packages of wrapping paper for the school fundraiser. This 3 less than twice the number of packages that she sold
    6·1 answer
  • Can I get some help on 17),18
    15·1 answer
  • The graph shows the relationship between the total cost and the number of erasers bought at the student store. Which of the stat
    10·2 answers
  • Use the following area model to multiply 42 x 73
    8·1 answer
  • Evaluate 16 - 20 - (-8) - 9.<br> -21<br> -5<br> -12<br> -1
    12·2 answers
  • Heather manages a company that currently has 35 employees, e, and is gaining 5 new employees each month. Which equation below ca
    7·1 answer
  • I am stuck on this please help!
    13·1 answer
  • (2x + 3)^2 - 4(2x + 3) = 0
    5·1 answer
  • If one candy bar weighs 3 ounces, what is the weight of 11 candy bars?
    9·2 answers
  • PLSS HELP ASAPPPPP!!!
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!