Topic
Q:
Сравните числа:
\( \begin{array}{lll}\text { а) } \frac{11}{20} \text { и } \frac{7}{12} ; & \text { б) } \frac{11}{18} \text { и } \frac{11}{19} ; & \text { в) } 0,48 \text { и } \frac{25}{24}\end{array} \)
Q:
\( \begin{array}{ll}\text { 3.1 Factorisethe following: } \\ \text { 3.1.1 } & 2 x^{2}-x-15 \\ \text { 3.1.2 } & -a^{2}-5 a-4 \\ \text { 3.1.3 } & x^{3}+8\end{array} \)
Q:
Clearly indicate all intercepts with the axes as well as the
QUESTION 7
Given the function with the equation \( k(x)=\frac{-6}{x+2}-2 \) :
7.1 Write the equations of the asymptotes of \( k \).
7.2 Give the range of \( k \).
7.3 Give the domain of \( k \).
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 \( B(2 ; 1) \)
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