1103083103
Level:
A
The quadratic function \( f \) is graphed in the picture. Which of the following is its equation?
\( f(x)=-x^2-2x+1 \)
\( f(x)=x^2+2x+1 \)
\( f(x)=-x^2+2x+1 \)
\( f(x)=-x^2-4x-5 \)
A
1103083102
Level:
A
The quadratic function \( f \) is graphed in the picture. Which of the following is its equation?
\( f(x)=\frac13(x-3)^2+1 \)
\( f(x)=4\cdot(x-3)^2+1 \)
\( f(x)=(x+3)^2+4 \)
\( f(x)=4\cdot(x+1)^2+3 \)
1103083101
Level:
A
The quadratic function \( f \) is graphed in the picture. Which of the following is its equation?
\( f(x)=-(x-1)^2+2 \)
\( f(x)=(x-1)^2+2 \)
\( f(x)=(x+1)^2+2 \)
\( f(x)=-(x+1)^2+2 \)
1003035906
Level:
A
Find the limit \( \lim\limits_{n\rightarrow\infty}\left( \frac4{n^3} +2+\frac{3n^2+5}{1-n^2}\right) \).
\( -1 \)
\( 0 \)
\( \infty \)
\( 9 \)
\( -\frac13 \)
1003035905
Level:
A
Find the limit \( \lim\limits_{n\rightarrow\infty} \left( \frac{2n-2}{n+1}+\frac{5n+3}{n-4} \right) \).
\( 7 \)
\( \infty \)
\( 0 \)
\( 10 \)
\( -6 \)
1003035904
Level:
A
Find the limit \( \lim\limits_{n\rightarrow\infty}\left(\frac{2n-2}{n+1}\cdot\frac{5n+3}{n-4}\right) \).
\( 10 \)
\( \infty \)
\( 0 \)
\( 7 \)
\( -6 \)
1003035903
Level:
A
Find the limit \( \lim\limits_{n\rightarrow\infty}\left(5n^2+2n-1\right) \).
\( \infty \)
\( 5 \)
\( 0 \)
\( 2 \)
\( -1 \)
1003035901
Level:
A
Find the limit \( \lim\limits_{n\rightarrow\infty}\left(4+\frac3{2n-1}\right) \).
\( 4 \)
\( \frac32 \)
\( \infty \)
\( 0 \)
\( \frac{11}2 \)
1103067903
Level:
A
Find the area of the yellow region indicated in the picture.
\( 8\pi \)
\( 6\pi \)
\( 2\pi \)
\( 10\pi \)
1103067902
Level:
A
Find the area of the region bounded by the curves \( y=x^3-5x^2+3x+5\text{, }x=0\text{, }x=1\text{, }y=-x+5 \) as indicated in the picture.
\( \frac7{12} \)
\( \frac{41}{12} \)
\( \frac{47}{12} \)
\( \frac5{12} \)