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
ZanzabumX [31]
3 years ago
5

Let the function f be continuous and differentiable for all x. Suppose you are given that f(−1)=−3, and that f'(x) for all value

s of x. Use the Mean Value Theorem to determine the largest possible value of f(5).

Mathematics
1 answer:
Monica [59]3 years ago
8 0

Answer:

Step-by-step explanation:

By MVT,

f'(c) = \frac{f(5)-f(-1)}{5-1}

4f'(c)= f(5) + 3\rightarrow f(5) = 4f'(c) - 3

Moreover, f'(x)\leq 4~~~~~~ \forall x,

f(5) \leq 16 - 3 =13

Hence the largest possible value of f(5) is 13

You might be interested in
WILL MARK BRAINLIEST!!!
MArishka [77]

Answer is From all those aforementioned, the true statement is: Thanh’s grade is 2.5 standard deviations below the mean of the test grades.

explanation

The z scores are standard deviations. If, for example, a tool returns a z score of +2.5, it means that the result is a standard deviation of 2.5. Very high or very low (negative) z scores associated

with very low p values are at the ends of the normal distribution.

8 0
2 years ago
Let f be defined as shown. What is f^-1(-3)
Irina18 [472]

Hello,

f^{-1}(-3)=-1\\

You have just to read the arrows un reversed order:

in f we find (-1,-3)  so in f^{-1} we find (-1,-3)^{-1}=(-3,-1)

5 0
3 years ago
Plz need helpkkkkkssosp
Sholpan [36]
All of these answers are right
4 0
3 years ago
The graph below shows a company’s profit f(x), in dollars, depending on the price of the erasers x, in dollars, being sold by th
Alex777 [14]

The x-intercept = (0, 0) and (8, 0), Rate of function is 50 and as the price of erasers increasing the company's profit increasing and when price of the eraser decreasing the price the company's profit decreasing.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a graph of a function:

From the graph:

x-intercept = (0, 0) and (8, 0)

Maximum value of the graph = 270 at x = 4

Increasing in the interval x ∈ (0, 4)

Decreasing in the interval x ∈ (4, 8)

As the price of erasers increasing the company's profit increasing and when price of the eraser decreasing the price the company's profit decreasing.

Rate of function = (270-120)/(4-1) = 50

Thus, the x-intercept = (0, 0) and (8, 0), Rate of function is 50 and as the price of erasers increasing the company's profit increasing and when price of the eraser decreasing the price the company's profit decreasing.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

8 0
2 years ago
What is 485,783 rounded to its greatest place?​
natima [27]

Answer:

486

Step-by-step explanation:

if you mean 485.782 with a decimal then it would be 486

7 0
2 years ago
Other questions:
  • For a continuous random variable X, P(20 ≤ X ≤ 40) = 0.15 and P(X &gt; 40) = 0.16. Calculate the following probabilities. (Leave
    8·1 answer
  • if i'm getting 20% commission from a monthly sale of $800000 what is my 30% in month of sale and 70% in month after sale?
    10·1 answer
  • What is the sum of an infinite geometric series if a1 = 144 and r = 1⁄4?
    11·1 answer
  • Rewrite without parentheses. 7xy2+−4y43x52
    6·1 answer
  • an angle measures 72 ° more than the measure of a complementary angle what is the measure of each angle ​
    15·1 answer
  • The area of a rectangle is 100 in.² the perimeter of the rectangle is 40 inches. A second rectangle has the same area but a diff
    9·1 answer
  • Im stuck on this question plz help
    8·2 answers
  • In a circle with a radius of 8 ft, an arc is intercepted by a central angle of 3π4 radians.
    15·2 answers
  • The surface area of a triangular pyramid is 80 m2. If the pyramid is enlarged by a scale factor of 2, what is the surface area o
    9·2 answers
  • Can someone explain to me how to do division? And also long division since I’m bad at explaining
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!