The <em>trigonometric</em> function that represents the curve seen in the picture is f(x) = 4.5 · sin (π · x / 2 - π) - 6.5.
<h3>How to derive a sinusoidal expression</h3>
In this problem we need to find a <em>sinusoidal</em> expression that models the curve seen in the picture. The most typical <em>sinusoidal</em> model is described below:
f(x) = a · sin (b · x + c) + d (1)
Where:
- a - Amplitude
- b - Angular frequency
- c - Angular phase
- d - Vertical midpoint
Now we proceed to find the value of each variable:
Amplitude
a = - 2 - (-6.5)
a = 4.5
Angular frequency
b = 2π / T, where T is the period.
0.25 · T = 4 - 3
T = 4
b = 2π / 4
b = π / 2
Midpoint
d = - 6.5
Angular phase
- 2 = 4.5 · sin (π · 4/2 + c) - 6.5
4.5 = 4.5 · sin (π · 4/2 + c)
1 = sin (2π + c)
π = 2π + c
c = - π
The <em>trigonometric</em> function that represents the curve seen in the picture is f(x) = 4.5 · sin (π · x / 2 - π) - 6.5.
To learn more on trigonometric functions: brainly.com/question/15706158
#SPJ1
Answer:
y = 1.5
Step-by-step explanation:
Given x is inversely proportional to , then the equation relating them is
y = ← k is the constant of proportion
To find k use the condition when x = 8, y = 2
2 = = = ( multiply both sides by 3 )
6 = k
y = ← equation of proportion
When x = 15 , then
y = = = = = 1.5
Answer:
The pattern form is 8,15,34,71 which follows the rule
Step-by-step explanation:
Given : Rule
To find : Create a number pattern that follows the rule. Use at least three terms in the pattern ?
Solution :
Rule
Put n=1,
Put n=2,
Put n=3,
Put n=4,
The pattern form is 8,15,34,71 which follows the rule
Answer:
1130.97
Step-by-step explanation:
It was easy!
<span>f(-3) for f(x)=3x-x^2
</span>f(-3)=3(-3) -(-3)^2
f(-3)=-9 - 9
f(-3)=-18
answer is the last one on the picture