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
postnew [5]
1 year ago
15

Let f(x) = (x − 3)−2. find all values of c in (1, 4) such that f(4) − f(1) = f '(c)(4 − 1). (enter your answers as a comma-separ

ated list. if an answer does not exist, enter dne. ) c =
Mathematics
1 answer:
Verizon [17]1 year ago
7 0

If the function is (x-3)^{-2} and  f(4) − f(1) = f '(c)(4 − 1) then there is not any answer.

Given function is (x-3)^{-2} and  f(4) − f(1) = f '(c)(4 − 1).

In this question we have to apply the mean value theorem, which says that given a secant line between points A and B, there is at least a point C that belongs to the curve and the derivative of that curve exists.

We begin by calculating f(2) and f(5):

f(2)=(2-3)^{-2}

f(2)=1

f(5)=(5-3)^{-2}

f(5)=1

And the slope of the function:

f^{1}(x)=f(5)-f(2)/(5-2)

f^{1}(c)=0

Now,

f^{1} (x)=-2*(x-3)^{-3}

=-2(x-3)^{-3}

=0

-2 is not equal to 0. So there is not any answer.

Hence if the function is (x-3)^{-2} and  f(4) − f(1) = f '(c)(4 − 1) then there is not any answer.

Learn more about derivatives at brainly.com/question/23819325

#SPJ4

You might be interested in
Q1. Ten percent of the items produced by a machine are defective. A random sample of 100 items is selected and checked for defec
Tcecarenko [31]

Answer: 0.030

Step-by-step explanation:

Given: The percent of the items produced by a machine are defective  :P=10\%=0.10

The percent of the items produced by machine which are not defective:Q=1-0.1=0.9

Sample size : n = 100

Now, the standard error of the proportion is given by :-

\text{S.E.}=\sqrt{\dfrac{0.1\times0.9}{100}}\\\\\Rightarrow\text{S.E.}=0.030

Hence, the the standard error of the distribution of the sample proportions=0.030

7 0
2 years ago
A 16 kg bag of watermelon for $8 per kg
Zarrin [17]
To solve this all we need to do is multiply. 

Since 1 kg is for $8, then we will multiply to see how much 16 kg would be for.

16 × 8 = 128

So, 16 kg is for $128. 

Hope I helped ya!!!!
8 0
3 years ago
Unit Test
wolverine [178]

Answer: c the third option

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Solve right triangle ABC given the following: C = 90° , B = 53°, b = 23.
Anastasy [175]
A=17.33174
c=28.79912
A=37
area=199.31505


pls give brainliest if someone else comments :)
7 0
3 years ago
Suppose I claim that the average monthly income of all students at college is at least $2000. Express H0 and H1 using mathematic
pishuonlain [190]

Answer:

For this case we want to test if the the average monthly income of all students at college is at least $2000. Since the alternative hypothesis can't have an equal sign thne the correct system of hypothesis for this case are:

Null hypothesis (H0): \mu \geq 2000

Alternative hypothesis (H1): \mu

And in order to test this hypothesis we can use a one sample t or z test in order to verify if the true mean is at least 200 or no

Step-by-step explanation:

For this case we want to test if the the average monthly income of all students at college is at least $2000. Since the alternative hypothesis can't have an equal sign thne the correct system of hypothesis for this case are:

Null hypothesis (H0): \mu \geq 2000

Alternative hypothesis (H1): \mu

And in order to test this hypothesis we can use a one sample t or z test in order to verify if the true mean is at least 2000 or no

7 0
2 years ago
Other questions:
  • Question 6 of 10
    5·2 answers
  • Math Property, please help!
    9·1 answer
  • Identify the like terms in the expression -4x2-2x+8+6x-9
    15·1 answer
  • How do you do this to get one pls I need help
    12·1 answer
  • Pamelas age is two times jiris age the sum of their ages is 33 what is jiris age?
    6·1 answer
  • Find the domain of:<br> F(x)= x^2-4/2x^3-32x
    6·2 answers
  • The graph of a line passes through the two points (-2, 1) and (2, 1). What is the equation of the line written in general form?
    9·1 answer
  • Springdale junior high has two students
    15·2 answers
  • Sandy plays tennis once every 6 six days. Jim plays once every 8 eight days. If they both played tennis today, in how many days
    15·1 answer
  • T=0.0119s^2-0.308s-0.0003
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!