Topic
Q:
Let
\( f(x)=(x+5)^{2} \)
Find a domain on which \( f \) is_one-to-one and non-decreasing.
\( [-5, \infty) \)
Find the inverse of \( f \) restricted to this domain
\( f^{-1}(x)=\sqrt{x-5} \)
Q:
Suppose that the functions \( f \) and \( g \) are defined as follows.
\[ \begin{array}{l}f(x)=-4 x+5 \\ g(x)=\sqrt{3 x+1}\end{array} \]
Find \( f+g \) and \( \frac{f}{g} \). Then, give their domains using interval notation.
Q:
The value of China's exports of automobiles and parts (in billions of dollars) is approximately
\( f(x)=1.8208 e^{0.3387 x} \), where \( x=0 \) corresponds to 1998. In what year did/will the exports reach \( \$ 7.2 \)
billion?
2002.1
Give your answer as the year, with at least one decimal place
Q:
Question 7
The value of China's exports of automobiles and parts (in billions of dollars) is approximately
\( f(x)=1.8208 e^{0.3387 x} \), where \( x=0 \) corresponds to 1998. In what year did/will the exports reach \( \$ 7.2 \)
billion?
2002.3
Q:
Determina il valore approssimato ai mille-
simi.
a) \( \sqrt{3} \)
b) \( \sqrt{30} \)
c) \( \sqrt{300} \)
d) \( \sqrt{60} \)
e) \( \sqrt{120} \)
f) \( \sqrt{360} \)
Q:
Find a closed form expression for the following recurrence relation
\( s_{0}=0 \)
\( s_{1}=1 \)
\( s_{n}=2 s_{n-1}-s_{n-2} \) for \( n \geq 2 \)
select one:
a. \( [2 n-5(n-1)] \)
b. \( [n] \)
c. \( [-3(n+1)] \)
d. \( [2(n+1)+5 n] \)
e. \( [6 n+1] \)
Q:
100 points possible Answeredi \( 17 / 22 \)
Question 20
Starting with the graph of \( f(x)=4^{x} \), write the equation of the graph that results from
\[ \begin{array}{c}\text { a. reflecting } f(x) \text { about the } y \text {-axis. } \\ \text { b. shifting } f(x) 4 \text { units downward. } \\ y=\square \\ \text { c. shifting } f(x) 5 \text { units right. } \\ y=\square\end{array} \]
Q:
10 A truck carrying a wide load needs to pass through the
parabolic tunnel shown. The units are metres.
The truck is 5 m high and 4 m wide.
a Find the quadratic function which describes the shape
of the tunnel.
b Determine whether the truck will fit.
Q:
Question 7
The value of China's exports of automobiles and parts (in billions of dollars) is approximately
\( f(x)=1.8208 e^{0.3857 x} \), where \( x=0 \) corresponds to 1998. In what year did/will the exports reach \( \$ 7.2 \)
billion?
Give your answer as the year, with at least one decimal place
\( > \) Next Question
Q:
Type your answer
Vector d has components of <12,
\( 16> \). Vector e is equivalent to 3d.
What is the magnitude of vector e ?
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