Topic
Q:
a. \( 2 y-3 x=6 \)
Q:
Suppose that a particle moves along a straight line with velocity \( v(t)=12-1 t \), where \( 0 \leq t \leq 2 \) (in
meters per second). Find the formula for the displacement of the particle and the total distance it has
traveled at time \( t=2 \) seconds.
Displacement at time \( t \) is:
Q:
Write an equation of the line with the given slope and \( y \)-intercept.
\[ \text { Slope }-7, y \text {-intercept }(0,1) \]
Q:
Suppose that a particle moves along a straight line with velocity \( v(t)=12-1 t \), where \( 0 \leq t \leq 2 \) (in
meters per second). Find the formula for the displacement of the particle and the total distance it has
traveled at time \( t=2 \) seconds.
Displacement at time \( t \) is:
Total distance traveled:
Q:
What is \( 6 z-2 y-8 z+5 y-4+z \) written in simplest form?
Q:
Suppose that in a memory experiment the rate of memorizing is given by \( M^{\prime}(t)=-0.005 t^{2}+0.6 t \),
where \( M^{\prime}(t) \) is the memory rate, in words per minute. How many words are memorized in the first 10
minutes?
words
Q:
4. Товардын баасы жеткирип берүу
акысы менен бирге 1200 сом турат.
Товардын баасы жеткируу акысынан 200
сомго кымбатыраак.
\( \begin{array}{c}\text { Товардын } \\ \text { баасы }\end{array} \)
Q:
The traffic flow rate (cars per hour) across an intersection is \( r(t)=300+900 t-90 t^{2} \), where \( t \) is in
hours, and \( t=0 \) is 6 am . How many cars pass through the intersection between 6 am and 11 am?
cars
Q:
What is \( 12 p+3 q-5-5 q-8 p \) written in simplest form?
Q:
Given a scalar \( k \) and a vector \( \mathbf{v} \) as follows:
\[ k=-2 \]
\[ \mathbf{v}=\left(\begin{array}{c}4 \\ 0 \\ -3\end{array}\right) \]
Calculate the product of the scalar \( k \) and the vector \( \mathbf{v} \).
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