Tema
Q:
2. Two leaking water containers have a total capacity of 760 . If they both leak 204 per
hour, find the capacity of each container If one of the containers have 4 times the
amount of water than the other after 9 hours.
Q:
A wire of length \( 7 x \) is bent into the shape of a circle.
A. Express the circumference of the circle as a function of \( x \).
B. Express the area of the circle as a function of \( x \).
A. \( C(x)=\square \)
Q:
When a polynomial \( P(x) \) is divided by \( 4 x-1 \),
the remainder is \( R \). When \( P(x) \) is divided by
\( 1-4 x \), the remainder is
\( \begin{array}{ll}\text { A. } 4 R . & \text { B. } \quad R . \\ \text { C. }-\frac{1}{4} R . & \text { D. }-R .\end{array} \)
Q:
Given the function with the equation \( k(x)=\frac{-6}{x+2}-2 \) :
\( 7.1 \quad \) Write the equations of the asymptotes of \( k \).
Q:
When \( x^{3}-x+4 \) is divided by a polynomial
\( f(x) \), the quotient and the remainder are
\( x^{2}+2 x+3 \) and 10 respectively. Find the
polynomial \( f(x) \).
Q:
(e) For what values of \( x \) is \( d \) smallest?
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. \( x= \)
(Type an integer or decimal rounded to two decimal places as needed. Use a comma to separate
answers as needed.)
B. \( d(x) \) gets infinitely small.
Q:
\( \int_{A B} z^{2} d z \), over the straight line going the points
\( A(1 ; 1) \) and \( B(2 ; 1) \)
Q:
(a) Express the distance \( d \) from \( P \) to the origin as a function of \( x \).
\( d(x)=\sqrt{x^{4}-3 x^{2}+4} \)
(Simplify your answer. Type an exact answer, using radicals as needed.)
(b) What is \( d \) if \( x=0 \) ?
If \( x=0 \), the distance \( d \) is 2 .
(Type an integer or decimal rounded to two decimal placels as needed.)
(c) What is \( d \) if \( x=1 \) ?
If \( x=1 \), the distance \( d \) is \( \square \).
(Type an integer or decimal rounded to two decimal places as needed.)
Q:
(a) Express the distance \( d \) from \( P \) to the origin as a function of \( x \).
\( d(x)=\sqrt{\mathrm{x}^{4}-3 \mathrm{x}^{2}+4} \)
(Simplify your answer. Type an exact answer, using radicals as needed.)
(b) What is \( d \) if \( x=0 \) ?
If \( x=0 \), the distance \( d \) is
(Type an integer or decimal rounded to two decimal places as needed.)
Q:
Let \( P=(x, y) \) be a point on the graph of \( y=x^{2}-2 \). Complete parts (a) through (e) below.
(a) Express the distance \( d \) from \( P \) to the origin as a function of \( x \).
\( d(x)= \)
(Simplify your answer. Type an exact answer, using radicals as needed.)
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