Calculus Early Trancendentals questions

[shanniepooh2]

Below is three example study quesitons for an upcoming calculus test and I'm trying to see if I have the answers correct, please advise...

 

Thanks

 

 

1. If d(d) is a position equation, then what does d''(t) = 0 represent?

 

1. The object described by d(t) is stationary (v(t)=0)

2. The object described by d(t) is neither accelerating nor decelerating (a(t) = 0)

3. The object is at the origin (d(t) must be 0 for d''(t) to be 0)

4. None of the above.

 

MY GUESS IS (4)

 

2. Forward Gaussian Elimnation is to the _____ method as backwards Gaussian Elimination is to the _______ method.

 

1. induction, substitution

2. addition, substitution

3. induction, reduction

4. substitution, addition.

 

MY GUESS IS (4)

 

3.For f(x), what is F(X)?

 

1. F(x)'s derivative

2. Just antoher way to say f(x)

3. f(x)'s anti-derivative

4. There is not any particular relationship between f(x) and F(x).

 

MY GUESS IS (3)

[Cap'n Refsmmat]

1. If d(d) is a position equation, then what does d''(t) = 0 represent?

 

1. The object described by d(t) is stationary (v(t)=0)

2. The object described by d(t) is neither accelerating nor decelerating (a(t) = 0)

3. The object is at the origin (d(t) must be 0 for d''(t) to be 0)

4. None of the above.

 

MY GUESS IS (4)

Hold up. If d(t) represents position, what would d''(t) (the second derivative) represent? Velocity, acceleration, or something else? That's very important for your answer.

 

3.For f(x), what is F(X)?

 

1. F(x)'s derivative

2. Just antoher way to say f(x)

3. f(x)'s anti-derivative

4. There is not any particular relationship between f(x) and F(x).

 

MY GUESS IS (3)

That looks right.

 

I can't speak for the Gaussian elimination problem as I'm not familiar with it.

 

Good luck.

[shanniepooh2]

Thanks for replying... Unfortunately I'm not given anymore to the question than that and thats how the test normally run. I have other questions and a good portion of them generally look similiar in fashon. If you had to take a guess based on just what you've seen, what would be your guess?

[Cap'n Refsmmat]

I'm asking you as a Socratic question -- what do you think the second derivative of position is?

[shanniepooh2]

I'm asking you as a Socratic question -- what do you think the second derivative of position is?

 

I guess it's neither accelerating nor decelerating

[Cap'n Refsmmat]

There you go

 

The second derivative of position is acceleration, so d''(t) = a(t) = 0.

[shanniepooh2]

Thanks for the help

[honestdude14]

For problem 2. wiki.