By applying the concept of <em>definite</em> integral and the given restrictions, we conclude that the area of the <em>shaded</em> region in the graph is - 11/12.
<h3>How to find the area of the shaded region in the graph y = x² - 2</h3>
The area below the curve can be found by using <em>definite</em> integrals, which is defined here in this form:
(1)
Now we proceed to calculate the area:
By applying the concept of <em>definite</em> integral and the given restrictions, we conclude that the area of the <em>shaded</em> region in the graph is - 11/12.
<h3>Remark</h3>
The statement is incomplete. Complete form is shown below:
Find the area of the shaded region in the graph y = x² - 2, between x = 0.5 and x = 1.5
To learn more on definite integrals: brainly.com/question/14279102
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Answer:
Step-by-step explanation:
If the impedance is related to the voltage and the current by the formula V = IZ where;
V is the voltage
I is the current
Z is the impedance
Given
I = 0.4+3i
V = 0.3-2i
Voltage V = (0.4+3i)(0.3-2i)
V = 0.4(0.3)-0.8i+0.9i-6i²
V = 0.12+0.1i -6i²
Since i² = -1
V = 0.12+0.1i-6(-1)
V = 0.12+0.1i+6
V = 6.12+0.1i.
Hence the impedance is 6.12+0.1i
Answer:
- f^-1(x) = (3/8)(x +1) . . . . as written
- f^-1(x) = (x +5)/(3x -1) . . . with appropriate parentheses
Step-by-step explanation:
The inverse function can be found by solving for y:
x = f(y)
x = y + 5/3y -1 . . . . . . . . . . y +(5/3)y -1 . . . per order of operations
x+1 = 8/3y . . . . . . . . . . add 1
(3/8)(x +1) = y . . . . . . . . multiply by 3/8
f^-1(x) = (3/8)(x +1) . . . . . inverse of the function as written
_____
Perhaps you intend f(x) = (x+5)/(3x-1). The inverse is found the same way.
x = (y +5)/(3y -1)
x(3y -1) = y +5
3xy -x = y +5 . . . . . eliminate parentheses
3xy -y = x + 5 . . . . . add x-y
y(3x -1) = x +5 . . . . . factor out y
y = (x +5)/(3x -1) . . . divide by the coefficient of y
f^-1(x) = (x +5)/(3x -1) . . . . inverse of rational function
Answer:
10. put a dot on the number 10
Step-by-step explanation:
3-(-5)-(-2)
when subtracting negatives, you actually end up adding
so
3+5+2=10
Direct proportionality is the type of proportionality where an increase in one quantity or variable causes a corresponding increase in another quantity.
Therefore; y varies directly as x
Hence; y α x
y =k x where k is a constant
if y= 28 and x = 7 , then k = 28/4 =4
hence, y = 4 k
when x = 4, then y= 16
