Tema
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.)
Q:
1. निम्न द्विघात बहुपदों के शून्यक ज्ञात कीजिए और शून्यकों तथा गुणांकों के बीच के संबंध की
सत्यता की जाँच कीजिए :
\( \begin{array}{lll}\text { (i) } x^{2}-2 x-8 & \text { (ii) } 4 s^{2}-4 s+1 & \text { (iii) } 6 x^{2}-3-7 x\end{array} \)
Q:
б) \( \frac{x}{16}=\frac{x}{4} \);
Q:
Касательная и треугольник
Прямая, проходящая через точку \( A \), касается окружности с центром \( O \) в точке \( B \).
Найдите градусную меру меньшего угла треугольника \( А О В \), если один из его углов равен
\( 65^{\circ} \).
Q:
A tailor charges a basic fee of \( \$ 50 \) plus \( \$ 15.50 \) per letter to sew an athlete's name on the back of a jacket. Write a linear equation that will find the cost \( c \) to have a name containing \( x \) letters
sewn on the back of a jacket.
Q:
1. Найдите координаты вектора \( \overrightarrow{K P} \), если известны
координаты точек \( \mathrm{K}(-3 ; 7), \mathrm{P}(2 ; 4) \)
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