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
Ad libitum [116K]
3 years ago
7

Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.)f(x) = 6 cos πx, [0

, 2]Yes, Rolle's Theorem can be applied.No, because f is not continuous on the closed interval [a, b].No, because f is not differentiable in the open interval (a, b).No, because f(a) ≠ f(b).If Rolle's theorem can be applied, find all values of c in the open interval (a, b) such that f '(c) = 0. (Enter your answers as a comma-separated list. If Rolle's Theorem cannot be applied, enter NA.)
Mathematics
1 answer:
andreev551 [17]3 years ago
7 0

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached image below to see the step by step explanation to the question above.

You might be interested in
Order the numbers from least to greatest. -2 3/10, -2, -3, -2 2/5, -2 1/2.
Elden [556K]
-3 ; -2 1/2; -2 2/5; -2 3/10; -2;
3 0
4 years ago
What is the expression of The product of 4 and a number , then increased by 8.
fredd [130]
4xa +8  =4a+8
..........................
3 0
3 years ago
Read 2 more answers
The length of a rectangular driveway is five feet more than three times the width. The area is 350ft2. Find the width and length
crimeas [40]

Answer:

  • width -- 10 ft
  • length -- 35 ft

Step-by-step explanation:

We can let x represent the width. Then the length will be represented by (3x+5), a value 5 more than 3 times the width.

The area is the product of length and width, so is ...

  A = (3x +5)(x) = 3x^2 +5x

To make the area 350, we can find the value of x from ...

  3x^2 +5x = 350

This can be solved a number of ways. One of them is "completing the square".

  3(x^2 +5/3x) = 350

We choose to divide by 3 and add the square of half the x-coefficient.

  x^2 +5/3x +(5/6)^2 = (350/3) + (5/6)^2

  (x +5/6)^2 = 4225/36 . . . . simplify

  x +5/6 = ±√(4225/36) = ±10 5/6 . . . . take the square root

  x = 10  or  -11 2/3 . . . . subtract 5/6

The positive solution is the one of interest: x = 10.

The driveway is 10 ft wide and 35 ft long.

4 0
3 years ago
FITNESS Alejandro is a personal trainer. For his clients to gain the maximum benefit from their exercise, Alejandro calculates t
katen-ka-za [31]

Answer:

1). f^{-1}(x) = (200 - \frac{x}{0.85})

2). Inverse function represents the age of the client and 'x' represents the maximum heart rate of the client.

Step-by-step explanation:

Function representing the maximum heart rate is,

f(x) = 0.85(220 - x)

Here x = age of the client

Equation form of the function will be,

y = 0.85(220 - x)

To get the inverse of the given function, replace 'x' by 'y' and 'y' by 'x' and solve for y.

x = 0.85(220 - y)

220 - y = \frac{x}{0.85}

y = 220 - \frac{x}{0.85}

Now convert this equation into a function.

f^{-1}(x) = (200 - \frac{x}{0.85})

Here inverse function represents the age of the client and 'x' represents the maximum heart rate of the client.

8 0
4 years ago
Rationalise:<br>(1)              4/(2+root3+root7)<br>(2)              4/(2root3+root5)
Temka [501]
\frac{4}{2+\sqrt3+\sqrt7}\cdot\frac{2-(\sqrt3+\sqrt7)}{2-(\sqrt3+\sqrt7)}=\frac{8-4\sqrt3-4\sqrt7}{2^2-(\sqrt3+\sqrt7)^2}=\frac{8-4\sqrt3-4\sqrt7}{4-3-2\sqrt{3\cdot7}-7}\\\\=\frac{8-4\sqrt3-4\sqrt7}{-6-2\sqrt{21}}=\frac{-2(2\sqrt3+2\sqrt7-4)}{-2(3+\sqrt{21})}=\frac{2\sqrt3+2\sqrt7-4}{3+\sqrt{21}}\cdot\frac{3-\sqrt{21}}{3-\sqrt{21}}\\\\=\frac{6\sqrt3-2\sqrt{63}+6\sqrt7-2\sqrt{147}-12+4\sqrt{21}}{3^2-(\sqrt{21})^2}=\frac{6\sqrt3-2\sqrt{9\cdot7}+6\sqrt7-2\sqrt{49\cdot3}-12+4\sqrt{21}}{9-21}

=\frac{6\sqrt3-6\sqrt7+6\sqrt7-14\sqrt3-12+4\sqrt{21}}{-12}=\frac{-8\sqrt3+4\sqrt{21}-12}{-12}=\frac{-4(2\sqrt3-\sqrt{21}+3)}{-12}\\\\=\frac{2\sqrt3-\sqrt{21}+3}{3}

==============================================================

\frac{4}{2\sqrt3+\sqrt5}\cdot\frac{2\sqrt3-\sqrt5}{2\sqrt3-\sqrt5}=\frac{8\sqrt3-4\sqrt5}{(2\sqrt3)^2-(\sqrt5)^2}=\frac{8\sqrt3-4\sqrt5}{4\cdot3-5}=\frac{8\sqrt3-4\sqrt5}{12-5}\\\\=\frac{8\sqrt3-4\sqrt5}{7}
4 0
4 years ago
Read 2 more answers
Other questions:
  • Solve for x by using log. Rounded to hundredth. <br><br> <img src="https://tex.z-dn.net/?f=4%5E%7B2x-5%7D%20%3D6%5E%7B-x%2B1%7D"
    10·2 answers
  • I need help with 1,2, and 3
    7·1 answer
  • ANSWER THIS FOR ME PLEASEEE !!
    14·1 answer
  • Use complete sentences to explain how you could use a number line to explain why 2 &lt; 3 &lt; 5. Please. :D
    6·1 answer
  • What is the ratio between 6 and 4?
    15·2 answers
  • There was a temperature change of -2°F each
    5·1 answer
  • Solve: MC multiplied by VII. Show your answer in standard form.
    15·1 answer
  • 9. Use the given to table to identify:
    7·1 answer
  • Lauren drew a triangle. Its sides were 7\text{ mm}7 mm7, start text, space, m, m, end text, 9\text{ mm}9 mm9, start text, space,
    15·2 answers
  • I literally am so cofused
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!