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
madreJ [45]
3 years ago
14

Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = e−5x, [0, 3] Yes, f is continuo

us and differentiable on double-struck R, so it is continuous on [0, 3] and differentiable on (0, 3) . No, f is continuous on [0, 3] but not differentiable on (0, 3). There is not enough information to verify if this function satisfies the Mean Value Theorem. No, f is not continuous on [0, 3]. Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem.
Mathematics
1 answer:
Anni [7]3 years ago
8 0

Yes, and the first choice's reasoning is the only correct one.

The MVT guarantees the existence of at least one c\in(0,3) such that

f'(c)=\dfrac{f(3)-f(0)}{3-0}

We have f'(x)=-5e^{-5x}, so that

-5e^{-5c}=\dfrac{e^{-15}-1}3\implies c=-\dfrac15\ln\dfrac{1-e^{-15}}{15}

You might be interested in
A ) Rotate Trapezoid ABCD 90° counterclockwise around the origin .
FinnZ [79.3K]

Answer:

A" (3,3)

B" (3,5)

C" (5,7)

D" (5,1)

Yes they are congruent as they are similar and have the same shape and size.

Step-by-step explanation:

-y,x is the formula for a 90° counter clockwise rotation, And since the shape nor size doesnt change it is congruent.

8 0
1 year ago
Find x to the nearest hundredth place.
Arada [10]

Answer:

C.  24.27 cm

Step-by-step explanation:

sin 65° = opposite ÷ hypotenuse

sin 65° = 22/x

multiply both sides of the equation by x

(sin 65°)x = 22

divide both sides of the equation by sin 65°

x = 22 ÷ sin 65°

punch in 65 sin into your calculator

x = 22 ÷ 0.90631

x = 24.27 cm

7 0
2 years ago
HELP IM TIMES FOR 20 MINUTES! IVE BEEN ON THIS FOR THE LONGEST!
Misha Larkins [42]

Answer:

Point d

Step-by-step explanation:

because the x is -2 and the y is 3 so you look for the x and then the y

4 0
2 years ago
Plz HELP BRAINLIEST IF CORRECT IM KINDA IN A RUSH PLZ HELP ;)
baherus [9]

Answer:

0.5 quarts of orange juice per quart of punch

Step-by-step explanation:

1.5/3=0.5

7 0
3 years ago
Read 2 more answers
Write 1/125 as an expression using a negative exponent other than -1
Katyanochek1 [597]
The answer to this is 5^(-3).
3 0
3 years ago
Other questions:
  • 20% of a is 11, what is a
    6·1 answer
  • If ann had 10 apples and she gave 6 apples to lailta how many apples does ann have left
    10·2 answers
  • Help Please...
    10·1 answer
  • For each point on the unit circle, select the angle that corresponds to it.
    6·1 answer
  • I need help figuring this problem out?
    13·1 answer
  • Find the unit rate in balls per hour 24,000 8hours
    8·1 answer
  • Jack's mother gave him 5050 chocolates to give to his friends at his birthday party. He gave 33 chocolates to each of his friend
    9·2 answers
  • Gina bought 2.5 pounds of peaches that cost $1.38 per pound at the grocery store. amy went to the local farmer's market and purc
    12·2 answers
  • What is the sum of 3/7 + 1/3
    10·2 answers
  • Find the length of the third side. If necessary, round to the nearest tenth.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!