Answer:
The kinetic energy of an object is given by: Kinetic energy = 1/2 * mass * velocity If the kinetic energy of the pendulum at the top of its swing is 0, then this tells us that the velocity of the pendulum at that point is 0
Answer:
Option (D). G(x) = x³ - x
Step-by-step explanation:
Given function is the attachment,
G(x) = (x - 1.5)³ - (x - 1.5)
This function when translated by left by 1.5 units, rule for the translation is,
G(x) → G'(x + 1.5)
Therefore, translated function will be,
G'(x) = (x - 1.5 + 1.5)³ - (x - 1.5 + 1.5)
G'(x) = x³ - x
Therefore, Option (D) will be the answer.
Answer-
<em>The inverse of
is </em>

<u>Solution-</u>
The given function is,

We can get the inverse by interchanging he variable x and y among themselves and then separating each variables.
So in the inverse would be,

Taking log of both sides,

As,

Applying the same,


As,

Applying the same,

Therefore, the inverse of
is
.
Slope-intercept form:
y = mx + b
"m" is the slope, "b" is the y-intercept
To find "m", you can use the slope formula and plug in the two points:




The slope is 0 so:
y = mx + b
y = 0x + b [any number multiplied by 0 is 0]
y = b
To find "b", you plug in either of the points into the equation (since both of their y values are 1]
y = b
1 = b
Your equation is:
y = 1 (This is a horizontal line)