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photoshop1234 [79]
3 years ago
6

Fill in the blanks so that the resulting statement is true. If f is a polynomial function and​ f(a) and​ f(b) have opposite​ sig

ns, then there must be at least one value of c between a and b for which ​f(c)equals​_______ This result is called the ​_______ Theorem.
Mathematics
1 answer:
tia_tia [17]3 years ago
6 0

Answer:

f(c) equals zero

Intermediate Value Theorem

Step-by-step explanation:

Intermediate value theorem is one which states that f is a continuous function whose domain contains intervals which are a and b. It takes on any value between f(a) and f(b) at some point within interval. If we know the two values, we can pick any number between those two values and determine its function.

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To celebrate his soccer team's last game of the season, Grayson is making 4 batches of
s2008m [1.1K]

multiply 500 by 4 to know how much is needed in grams first

500×4 = 2000

convert 2000grams to kilograms

since 1000grams make 1 kilograms....then divide 2000 by 1000

which would give you 2000/1000

answer = 2kg of sugar

8 0
3 years ago
How do you do these questions?
Lady bird [3.3K]

Answer:

(e) csc x − cot x − ln(1 + cos x) + C

(c) 0

Step-by-step explanation:

(e) ∫ (1 + sin x) / (1 + cos x) dx

Split the integral.

∫ 1 / (1 + cos x) dx + ∫ sin x / (1 + cos x) dx

Multiply top and bottom of first integral by the conjugate, 1 − cos x.

∫ (1 − cos x) / (1 − cos²x) dx + ∫ sin x / (1 + cos x) dx

Pythagorean identity.

∫ (1 − cos x) / (sin²x) dx + ∫ sin x / (1 + cos x) dx

Divide.

∫ (csc²x − cot x csc x) dx + ∫ sin x / (1 + cos x) dx

Integrate.

csc x − cot x − ln(1 + cos x) + C

(c) ∫₋₇⁷ erf(x) dx

= ∫₋₇⁰ erf(x) dx + ∫₀⁷ erf(x) dx

The error function is odd (erf(-x) = -erf(x)), so:

= -∫₀⁷ erf(x) dx + ∫₀⁷ erf(x) dx

= 0

7 0
3 years ago
A right triangle in which one acute angle is a reference angle for a 75° angle in standard position intersects the unit circle a
vampirchik [111]

Alright, lets get started.

Please take a look at the diagram attached.

The reference angle of 75 will be 75

As it is mentioned that the angle intersects the unit circle means r = 1

So, finding cos

cos 75 = \frac{X}{r}

cos 75 = \frac{0.259}{1}

cos 75 = 0.259    :   Answer

Hope it will help :)


7 0
3 years ago
A building casts a shadow that is 420 meters long. At the same time, a person who is 2 meters tall casts a shadow that is 24 met
sweet-ann [11.9K]

Answer: <u><em>The building is 35 meters tall.</em></u>

Step-by-step explanation:

<em>420 </em><u><em>divided by </em></u><em>24 is 17.5   </em>

<em>17.5 </em><u><em>x </em></u><em>2 is 35 </em>

<em>(im multiplying by two because it says that a person who is 2 meters tall casts a shadow that is 24 meters long. ***)</em>

<em />

8 0
2 years ago
How many solutions does 3x = 2x + 4 have
Sloan [31]

Answer:

One Solution: x = 4

Step-by-step explanation:

Step 1:

3x = 2x + 4            Equation

Step 2:

3x - 2x = 4        Subtract 2x on both sides

Answer:

x = 4

Hope This Helps :)

6 0
3 years ago
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