Tema
Q:
Find the positive value of the parameter \( t \) corresponding to a point on the parametric curve
\( \left\{\begin{array}{l}x=t^{2}+7 \\ y=t^{2}+t\end{array}\right. \)
for which the tangent line passes through the origin. Answer exactly.
\( t= \)
Q:
For the pair of parametric equations below, eliminate the parameter to find its Cartesian equation.
Also state the equation's domain and range using interval notation.
\( x(t)=\sqrt{t} \),
\( y(t)=t^{2} \)
Cartesian equation:
Domain: \( x \in \)
Range: \( y \in \square \)
Q:
For the pair of parametric equations below, eliminate the parameter to find its Cartesian equation.
Also state the equation's domain and range using interval notation.
\( x(v)=\cos (9 v) \)
\( y(v)=\sin (9 v) \)
Cartesian equation:
Domain: \( x \in \square \)
Q:
For the pair of parametric equations below, eliminate the parameter to find its Cartesian equation.
Also state the equation's domain and range using interval notation.
\( \begin{array}{l}x(s)=9 \sin (s) \\ y(s)=9 \cos (s) \\ \text { Cartesian equation: } \\ \text { Domain: } x \in \square \\ \text { Range: } y \in \square\end{array} \).
Q:
La Asintota vertical de \( f(x) \) -
\( \frac{2 x-6}{4 x-8} \) es:
Q:
For the pair of parametric equations below, eliminate the parameter to find its Cartesian equation.
Also state the equation's domain and range using interval notation.
\( \begin{array}{l}x(t)=\sec (t) \\ y(t)=\tan (t)\end{array} \)
Cartesian equation:
Domain: \( x \in \square \)
Range: \( y \in \square \)
Q:
A 60 room hotel is filled to capacity every night at a rate of \( \$ 40 \) per room. The management wants to determine if a rate
increase would increase their profit. They are not interested in a rate decrease. Suppose management determines that for
each \( \$ 2 \) increase in the nightly rate, five fewer rooms will be rented. If each rented room costs \( \$ 8 \) a day to service, how much
should the management charge per room to maximize profit?
Q:
For the pair of parametric equations below, eliminate the parameter to find its Cartesian equation
Also state the equation's domain and range using interval notation.
\( x(t)=t^{4}+7 \)
\( y(t)=t^{2} \)
Cartesian equation:
Domain: \( x \in \square \)
Q:
Diketahui fungsi \( \mathrm{f}(\mathrm{x})=\sqrt{4-x^{2}} \),
Daerah asal fungsi f adalah...
Q:
For the pair of parametric equations below, eliminate the parameter to find its Cartesian equation.
Also state the equation's domain and range using interval notation.
\( \begin{array}{l}x(t)=\sqrt{t} \\ y(t)=t^{2}\end{array} \)
Cartesian equation:
Domain: \( x \in \)
Range: \( y \in \square \)
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