A

1003112803

Level: 
A
The second term of a geometric sequence is \( 24 \) and the fifth term is \( 3 \). Choose the correct formula to find the third term of this sequence.
\( a_3=24\cdot\sqrt[3]{\frac3{24}} \)
\( a_3=24\cdot\sqrt[3]{\frac{24}3} \)
\( a_3=3\cdot\sqrt[3]{\frac3{24}} \)
\( a_3=3\cdot\sqrt[3]{\frac{24}3} \)
\( a_3=8\cdot\sqrt[3]{\frac3{24}} \)

1103163609

Level: 
A
The graph of \( f' \) is given in the figure. Find the local extrema of \( f \). (The function \( f' \) is the derivative of the function \( f \).)
local maximum at \( x=0 \)
local minimum at \( x=3 \), local maximum at \( x=0 \)
local minimum at \( x=1 \), local maximum at \( x=3 \)
local minimum at \( x=0 \), local maximum at \( x=3 \)
local minimum at \( x=0 \)

1103163608

Level: 
A
The graph of \( f' \) is given in the figure. Find the local extrema of \( f \). (The function \( f' \) is the derivative of the function \( f \).)
local minimum at \( x=3 \)
local minimum at \( x=2 \), local maximum at \( x=0 \)
local minimum at \( x=3 \), local maximum at \( x=0 \)
local minimum at \( x=0 \), local maximum at \( x=3 \)
local maximum at \( x=3 \)

1103163607

Level: 
A
The graph of \( f' \) is given in the figure. Find the local extrema of \( f \). (The function \( f' \) is the derivative of the function \( f \).)
local minima at \( x_1=-1 \) and \( x_2=4 \), local maximum at \( x=1 \)
local minimum at \( x=3 \), local maximum at \( x=0 \)
local minimum at \( x=-1 \), local maximum at \( x=4 \)
local minima at \( x_1=-1 \) and \( x_2=1 \), local maximum at \( x=4 \)
local minimum at \( x=1 \), local maxima at \( x_1=-1 \) and \( x_2=4 \)

1103163606

Level: 
A
The graph of \( f' \) is given in the figure. Find the local extrema of \( f \). (The function \( f' \) is the derivative of the function \( f \).)
local minimum at \( x=0 \), local maxima at \( x_1=-2 \) and \( x_2=3 \)
local minimum at \( x=-1 \), local maximum at \( x=2 \)
local minima at \( x_1=-2 \) and \( x_2=3 \), local maximum at \( x=0 \)
local minima at \( x_1=-2 \) and \( x_2=0 \), local maximum at \( x=3 \)
local minimum at \( x=-2 \), local maxima at \( x_1=0 \) and \( x_2=2 \)