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-BARSIC- [3]
2 years ago
9

In Exploration 5.4.2 Question 2, what conclusion can you make about the value of the derivative at

Mathematics
1 answer:
givi [52]2 years ago
4 0

The value of the derivative at the maximum or minimum for a continuous function must be zero.

<h3>What happens with the derivative at the maximum of minimum?</h3>

So, remember that the derivative at a given value gives the slope of a tangent line to the curve at that point.

Now, also remember that maximums or minimums are points where the behavior of the curve changes (it stops going up and starts going down or things like that).

If you draw the tangent line to these points, you will see that you end with horizontal lines. And the slope of a horizontal line is zero.

So we conclude that the value of the derivative at the maximum or minimum for a continuous function must be zero.

If you want to learn more about maximums and minimums, you can read:

brainly.com/question/24701109

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Write an expression using all six trigonometric functions such that the value of the expression is 3.
iren2701 [21]
The trig functions that you need to deal with are
Sine
Cosine
Tangent
Cotangent
Cosecant
Secant

You need to write a single expression using all six trig functions such that the value of the expression equals 3.

To make this as simple as possible, the first thing I would do is look up the values of these functions and identify which ones are equal to either 1/2 or 1.0 or 2.0

sin(30º) = 1/2
sin(90º) = 1
cos(0º) = 1
cos(60º) = 1/2
tan(45º) = 1
csc(30º) = 2
csc(90º) = 1
sec(0º) = 1
sec(60º) = 2
cot(45º) = 1

If we only had to use three trig functions (sin, cos, tan), one possibility is
tan(45º) + cos(0º)/sin(30º) = 1 + 1/(1/2) = 1 + 2 = 3
noticed how I chose one each of the required functions and the operations so that the result = 3.

Now it is up to you to figure out how to combine all six trig functions so that they equal zero. There are many possibilities for you to choose from..
6 0
3 years ago
Factor this expression completely and then place the factors in the proper location on the grid.
Sindrei [870]
X^2 - 9 =
(x + 3)(x - 3)
4 0
3 years ago
Read 2 more answers
PLEASE HURRY PLEASSEEEE i need help
Arisa [49]

Answer:

5

Step-by-step explanation:

We cannot repeat an x value for the relation to be a function

Since x=3 ,4, 7 are already used

We must let x=5

5 0
3 years ago
Olivia has a points card for a movie theater. She receives 25 rewards points just for signing up. She earns 7.5 points for each
andrezito [222]

Answer:

0 visits

Step-by-step explanation:

According to the scenario, calculation of the given data are as follows,

Rewards for signing up = 80 points

Reward per visit = 2.5 points

Total points needed = 105

Let, number of visits = x

So, we can calculate number of visits by using following formula,

80 + (2.5 × X) = 105

2.5X = 105 - 80

2.5X = 25

X = 25 ÷ 2.5

X = 10 visits.

Hence, Olivia needs to make 10 visits in order to earn a free movie ticket

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Simplify. Rewrite the expression in the form k⋅y^n. (2y^4)^3
N76 [4]

Answer:

The answer is

<h2>{8.y}^{12}</h2>

Step-by-step explanation:

(2y⁴)³

Using the rules of indices

That's

<h3>( {ax})^{b}  =  {a}^{b} . {x}^{b}</h3>

So for the above expression we have

<h3>( {2y^{4} })^{3}  =  {2}^{3} . {y}^{4 \times 3}</h3>

Simplify

We have the final answer as

<h2>8.y¹²</h2>

Hope this helps you

5 0
3 years ago
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