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
Find the value of each unknown variable in the given figures ?
AveGali [126]

10) a. 130

Step-by-step explanation:

180 - 50 = 130

5 0
3 years ago
The radius of a circle is 13 meters. What is the circle's circumference?
Vlad [161]

Answer:

The circumference of a circle is calculated by multiplying the diameter of a circle by π (π × d) . The formula to calculate the circumference of a circle is usually written c = πd .

Step-by-step explanation:

Pi is a number that is approximated by 3.14, or 22/7. It is the ratio of the circumference to the diameter of any circle. This ratio can be rearranged to find circumference of a circle by multiplying pi times diameter.

I hope this helps.

8 0
3 years ago
Write y = x2 + 24x + 144 as a square of binomial.
irina1246 [14]

Answer:

y=(x+12)^2\\

Step-by-step explanation:

To write a quadratic equation into binomial form we can compare the equation into the completing square form of a quadratic equation like this ,

y=a(x-h)^2+k

now since,

y=x^2+24x+144

we can equate both the equations from left hand side to right hand side like this,

x^2+24x+144=a(x-h)^2+k\\

now we solve,

x^2+24x+144=a(x-h)^2+k\\x^2+24x+144=a((x)^2-2(x)(h)+(h)^2)+k\\x^2+24x+144=a(x^2-2hx+h^2)+k\\x^2+24x+144=ax^2-2ahx+ah^2+k\\

now we compare the coefficients of x^2:

1 = a\\

now we compare the coefficients of x :

24=-2ah\\24=-2(1)h\\24=-2h\\\frac{24}{-2}=h\\-12=h\\

now we compare the constants , (constants are the letters which are not associated with any variable in this case the variable is x)

144 = ah^2+k\\144=(1)(-12)^2+k\\144=(1)(144)+k\\144=144+k\\144-144=k\\0=k\\

so now the value we got all the values for the completing square form we plug those in , a = 1 , h = -12 , k = 0 ,

y=a(x-h)^2+k\\y=1(x-(-12))^2+0\\y=(x+12)^2\\

this is the square of a binomial, if you want to verify if we expands this formula by the formula of (a + b)^2 we would get the same result. Thus this is the correct answer.

5 0
3 years ago
For a binomial experiment, is it possible for the probability of success to change from one trial to the next? I figure that the
Allushta [10]
Yes you are understanding correctly
8 0
3 years ago
Read 2 more answers
PLEASE HELP!<br> DUE SOON STEP BY STEP PLEASE PLEASE HELP ASAP
levacccp [35]

Answer:

Step-by-step explanation:

yep your correct :)

8 0
3 years ago
Other questions:
  • How to find the scale factor of two triangles
    9·1 answer
  • PLEASE HURRY IM TIMED!!!
    9·1 answer
  • Find the surface area of a sphere in terms of pi given the radius of 25 inches
    5·1 answer
  • For a moving object,When. The force acting on the object varies directly with the object's acceleration. When a force of 64 N ac
    14·1 answer
  • What is the identity property
    7·1 answer
  • Slope= -1/3 passing through (9,-2)<br>point slop form?<br>slope intercept form?
    7·1 answer
  • Log4(7t+2)=2 can someone help me with this? I got it wrong and I do not know why or how to do this.
    8·1 answer
  • 112 is 70% of _______
    5·2 answers
  • Is 12.8 greater than 12.815?
    11·2 answers
  • Before leaving to visit Mexico Levant traded 270 us dollars for 3,000 Mexican pesos when he returned from Mexico, he had 100 pes
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!