Jada flips 3 quarters. What is the probability that all 3 will land showing the same side?
2 answers:
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Answer:
3π square units.
Step-by-step explanation:
We can use the disk method.
Since we are revolving around AB, we have a vertical axis of revolution.
So, our representative rectangle will be horizontal.
R₁ is bounded by y = 9x.
So, x = y/9.
Our radius since our axis is AB will be 1 - x or 1 - y/9.
And we are integrating from y = 0 to y = 9.
By the disk method (for a vertical axis of revolution):
So:
Simplify:
Integrate:
Evaluate (I ignored the 0):
The volume of the solid is 3π square units.
Note:
You can do this without calculus. Notice that R₁ revolved around AB is simply a right cone with radius 1 and height 9. Then by the volume for a cone formula:
We acquire the exact same answer.
Answer:
T F F F T F T
Step-by-step explanation:
A 2D vector can have a component equal to zero even when its magnitude is nonzero. TRUE.
it will be actually a 1d vector, but it's still a 2d vector too. this happens when the vector it's aligned to one of the axis.
The direction of a vector can be different in different coordinate systems. FALSE
The direction of a vector is independent of any coordinate system.
A 2D vector can have a magnitude equal to zero even when one of its components it nonzero. FALSE.
because the only way is that both x and y are equal to zero
The magnitude of a vector can be different in different coordinate systems. FALSE.
The magnitude stays the same in every coordinate system
It is possible to multiply a vector by a scalar. TRUE.
it changes only it's magnitude.
It is possible to add a scalar to a vector. FALSE.
you can´t sum elements of diferent spaces. R, , etc
The components of a vector can be different in different coordinate systems.TRUE.
The components of a vector are just a way for identifying the vector, in a determinate coordinate system, the way i call those components will change as I change the name I call every point in the plane.