Topic
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 \( \mathbf{v} \).
Q:
\( \int e ^ { x ^ { 2 } } = \)
Q:
Find \( \int\left(\frac{4}{x^{2}}+7 x+5\right) d x \)
\( \square+C \)
Q:
a. \( \frac{\left(2 x^{2} y\right)^{3}}{4 x^{0} y^{2}} \)
Q:
is it at 1530 hours?
Jack drives north at \( 80 \mathrm{~km} / \mathrm{h} \) for 2 hours. He then turns and drives east at the same speed
for 3 hours.
(a) To the nearest degree, what is Jack's true bearing from his original position?
(b) If Jack could drive from his current position straight back to his starting position:
(i) how far would he travel, to the nearest kilometre
(ii) what true bearing should he follow?
Q:
2.3 Differentiate \( \frac{5}{2} \operatorname{cosec}^{-1}\left(\frac{\theta}{2}\right) \) with respect to \( \theta \)
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