$$ \text { The degree of the differential equation } \sqrt{1+\left(\frac{d y}{d x}\right)^{1 / 3}}=\frac{d^2 y}{d x^2} \text { is: } $$
6
3
1
2
If $f(x)=x^3+\frac{3}{2} x^2+3 x+3$, then $f(x)$ is
Even function
Decreasing function
Increasing function
Odd function
Let point Q be the image of point $P(2,-1)$ in the line $3 x+5=4 y$.
Find the area of the circle that has the segment PQ as the diameter.
$9 \pi$
$36 \pi$
$1.96 \pi$
$3 \pi$
The foci of a hyperbola are the same as those of the ellipse with equation $9 x^2+16 y^2=144$.
If the length of the transverse axis of this hyperbola is $2 \cos \alpha$, then its equation is:
$$ \frac{x^2}{7-\cos ^2 \alpha}-\frac{y^2}{\cos ^2 \alpha}=1 $$
$$ \frac{x^2}{\cos ^2 \alpha}-\frac{y^2}{7-\cos ^2 \alpha}=1 $$
$$ \frac{x^2}{\cos ^2 \alpha}-\frac{y^2}{7+\cos ^2 \alpha}=1 $$
$$ \frac{x^2}{\cos ^2 \alpha}-\frac{y^2}{5-\cos ^2 \alpha}=1 $$
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