Eq. of given line is x = -2 》x + 2 = 0
<em>Note:</em><em> You missed to add some of the details of the question.
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<em>Hence, I am solving your concept based on an assumed graph which I have attached. It would anyways clear your concept.</em>
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Answer:
Please check the explanation.
Step-by-step explanation:
Given the right angled-triangle ABC as shown in the attached diagram
From the triangle:
Ф= ∠C = 30°
AB = 6 units
BC = y
tan Ф = opp ÷ adjacent
The opposite of ∠C = 30° is the length '6'.
The adjacent of ∠C = 30° is the length 'y'.
As Ф= ∠C = 30°
so
tan Ф = opp ÷ adjacent
tan 30 = 5 ÷ y
1 ÷ √3 = 5 ÷ y
y = 8.7 units
Therefore, the length of the unknown side length 'y' is 8.7 units.
Answer:
I think the answer is {10,20,30} but please check it
Using the graph and function concepts, it is found that:
a) The domain is
, while the range is ![[-2,-5]](https://tex.z-dn.net/?f=%5B-2%2C-5%5D)
b) The function is increasing in
and
, and decreasing
, and
.
--------------------
- The domain of a function is given by it's input values, that is, the values of x, the horizontal axis on the <em>graph</em>.
- The range of a function is given by it's output values, that is, the values of y, the vertical axis on the <em>graph</em>.
- If the <em>graph </em>is pointing upwards, the function increases.
- If the <em>graph </em>is pointing downwards, the function decreases.
--------------------
Item a:
- On the graph, the x-values are from -5 to 4, thus the domain is:
![[-5,4]](https://tex.z-dn.net/?f=%5B-5%2C4%5D)
- The y-values are from -2 to -5, thus, the range is:
![[-2,-5]](https://tex.z-dn.net/?f=%5B-2%2C-5%5D)
--------------------
Item b:
- On the graph, it is pointing upwards on the following intervals, for x-values: From 0 to 1, and from 2 to 3, thus, the function is increasing in
and
. - On the other intervals,
, and
, the function is decreasing.
A similar problem is given at brainly.com/question/10891721
Answer:
f'(1) = 2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Calculus</u>
The definition of a derivative is the slope of the tangent line.
Derivative Notation
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = x²
Point (1, f(1))
<u>Step 2: Differentiate</u>
- Basic Power Rule: f'(x) = 2 · x²⁻¹
- Simplify: f'(x) = 2x
<u>Step 3: Find Slope</u>
<em>Use the point (1, f(1)) to find the instantaneous slope</em>
- Substitute in <em>x</em>: f'(1) = 2(1)
- Multiply: f'(1) = 2
This tells us that at point (1, f(1)), the slope of the tangent line is 2. We can write an equation using point slope form as well: y - f(1) = 2(x - 1)