Answer:
3
Step-by-step explanation:
The measure of the slope is 
at x = a
Differentiate using the power rule
(a
) = na
Given
y = x³ - 1, then
= 3x²
The slope at (1, 0) is
= 3(1)² = 3
The simple interest of $4,700 principal at 4% interest and 10 months is <u>$156.67</u> and its <u>maturity level</u> is <u>83%</u>.
<h3>What is simple interest?</h3>
Simple interest refers to the interest calculated only on the principal.
With the simple interest method, the borrower only pays interest on the principal without considering the previously-accumulated interests.
<h3>Data and Calculations:</h3>
Principal = $4,700
Interest rate = 4%
Period = 10 months
Simple interest = $156.67 ($4,700 x 4% x 10/12)
Thus, the simple interest of $4,700 principal at 4% interest and 10 months is <u>$156.67</u> and its <u>maturity level</u> is <u>83%</u>.
Learn more about simple interests at brainly.com/question/
To solve this problem you must apply the proccedure shown below:
1. You need to apply the Pythagorean Theorem:
Where <em>c</em> is the hypotenuse and the legs are<em> a</em> and <em>b.</em>
2. Now, you must substitute the values given in the problem above and solve for <em>b</em>:
Therefore, the answer is: The value of <em>b</em> is 6.92
It looks like the given equation is
sin(2x) - sin(2x) cos(2x) = sin(4x)
Recall the double angle identity for sine:
sin(2x) = 2 sin(x) cos(x)
which lets us rewrite the equation as
sin(2x) - sin(2x) cos(2x) = 2 sin(2x) cos(2x)
Move everything over to one side and factorize:
sin(2x) - sin(2x) cos(2x) - 2 sin(2x) cos(2x) = 0
sin(2x) - 3 sin(2x) cos(2x) = 0
sin(2x) (1 - 3 cos(2x)) = 0
Then we have two families of solutions,
sin(2x) = 0 or 1 - 3 cos(2x) = 0
sin(2x) = 0 or cos(2x) = 1/3
[2x = arcsin(0) + 2nπ or 2x = π - arcsin(0) + 2nπ]
… … … or [2x = arccos(1/3) + 2nπ or 2x = -arccos(1/3) + 2nπ]
(where n is any integer)
[2x = 2nπ or 2x = π + 2nπ]
… … … or [2x = arccos(1/3) + 2nπ or 2x = -arccos(1/3) + 2nπ]
[x = nπ or x = π/2 + nπ]
… … … or [x = 1/2 arccos(1/3) + nπ or x = -1/2 arccos(1/3) + nπ]
1833/1000 as a top heavy fraction as a mixed fraction it is 1 833/1000
