Answer:
P = 2x^3 - 4x^2 - 16x
Step-by-step explanation:
Only 1 step: divide both sides by x
Answer:
The area of a circle can be found using the formula
Step-by-step explanation:
Answer:
The curvature is
The tangential component of acceleration is
The normal component of acceleration is
Step-by-step explanation:
To find the curvature of the path we are going to use this formula:
where
is the unit tangent vector.
is the speed of the object
We need to find , we know that so
Next , we find the magnitude of derivative of the position vector
The unit tangent vector is defined by
We need to find the derivative of unit tangent vector
And the magnitude of the derivative of unit tangent vector is
The curvature is
The tangential component of acceleration is given by the formula
We know that and
so
The normal component of acceleration is given by the formula
We know that and so
Greetings!To find the length of any side of a
right triangle, you can use the
Pythagorean Thereom. It states that the squares of two sides are equal to the square of the hypotenuse:
Input the information from the diagram into the formula:
Expand each term:
Combine like terms:
Add -169 to both sides:
Factor out the Common Term (2):
Factor the Complex Trinomial:
Set Factors to equal
0:
or
However, since we are solving for the side length, the only possible answer is 5 (a shape can't have a side with a negative length.)
The Solution Is:
I hope this helped!
-Benjamin