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sp2606 [1]
3 years ago
12

Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that s

atisfy the conclusion of Rolle's Theorem. (Enter your answers as a comma-separated list.) f(x) = cos(5x), [π/20, 7π/20] c =
Mathematics
1 answer:
myrzilka [38]3 years ago
8 0

Answer:

There are 2 points where f'(x) = 0

At x = 0, and at x = 5/π

Step-by-step explanation:

Rolle's theorem states that for any differentiable function on the interval {a, b}, if f(a) = f(b), then there is at least one point in the interval where f'(c) = 0

Evaluate the end points of the interval to see if we can apply Rolle's Theorem...

f(π/20) = cos (5π/20) = cos (π/4) = (√2)/2

f(7π/20) = cos [5(7π]/20) = cos (35π/20) = cos (7π/4) = (√2)/2

So by Rolle's Theorem, there will be at least one point where f'(c) = 0, so find f'(x)

f'(x) = -5sin(5x)

find where this equal zero...

0 = -5sin(5x)

0 = sin(5x)

Sin x = 0 at x = 0, and x = π, so we have..

5x = 0,  so x = 0

5x = π, so x = 5/π

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Answer fast ..................​
Kitty [74]

Answer:

Please check the explanation.

Step-by-step explanation:

Ascending Order:

When we talk about the numbers to be arranged in ascending order, it means the numbers need to be arranged from smallest to largest.

For example, if we have to arrange the numbers from 1 to 5 in ascending order.

It means, the ascending order will be: 1, 2, 3, 4, 5

Now, let us arrange the given numbers in ascending order.

a) 2234 to 2238         2234          2235            2236          2237          2238

b) 4099 to 4103          4099          4100             4101            4102          4103

c) 3298 to 3302          3298          3299            3300         3301           3302

d) 7269 to 7273          7269          7270            7271            7272          7273

e) 6354 to 6358          6354           6355           6356           6357          6358

f) 8379 to 8383           8379           8380            8381           8382          8383

g) 7365 to 7369          7365           7366           7367           7368          7369

5 0
3 years ago
Use the diagram of the right triangle above and round your answer to the nearest hundredth. If measure B= 60 degrees and a = 10
Tamiku [17]
I need you to post a diagram.
However, you are describing a 30 60 90 triangle and here is a good page to learn about those: http://www.1728.org/trig2.htm



3 0
3 years ago
Read 2 more answers
What is the answer hurry
Nitella [24]
The answer is b I believe but ion really know good luck
4 0
3 years ago
What is the measure of angle A'B'C?
Agata [3.3K]

All Angles Added: 180

Measures of Idiviudual Angles

A=70   C=70  B=40

-------------------------------------------------------------------------------

Step-by-step explanation:

All angles of a triangle when combined must equal 180 degrees.

Since the triangle is an isosceles triangle, at least 2 sides must be congruent meaning that A=C since the triangle is not equilateral.

3 0
3 years ago
The equation for the cross section of a parabolic satellite television dish is y = 1/45 x2, measured in inches. How far is the f
patriot [66]

Answer:

11.25

Step-by-step explanation:

The equation for a parabola is:

y − k = 1/(4p) (x − h)²

where (h, k) is the vertex and p is the distance from the focus to the vertex.

1/(4p) = 1/45

4p = 45

p = 11.25

The distance from the vertex to the focus is 11.25 inches.

3 0
3 years ago
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