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Find the dot-product $\mathbf{A} \cdot \mathbf{B}$
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More Old MCQ
Orphaned Multiple Choice Questions (MCQ) due to changes of exam system.
In a lifting machine, a load of 50 kN is moved by a distance of 10 cm using an effort of 10 kN which moves through a distance of 1 m, the efficiency of the machine is…
If a certain soccer game ended 3:2, what is the probability that the side that lost scored first? Assume that all scoring scenarios are equiprobable.
Find $\tan \beta$ from the given figure.
Find the value of x if $x = \dfrac{1 + \tan^2 \phi}{\tan \phi \, \csc^2 \phi}$.
Determine the volume of a regular tetrahedron of edge 2 ft.
What do you call differential equations wherein replacing the independent variable $x$ with $kx$ and the dependent variable $y$ by $ky$ gives the same differential equation? $k$ is a nonzero constant.
Compute the following: $\displaystyle \sum_{j = 1}^6 \left[ -3 + 5(j - 1) \right]$.
Compute the following: $\displaystyle \sum_{n = 1}^3 \left( \dfrac{n + 1}{n} \right) - \sum_{n = 1}^3 \left( \dfrac{n}{n + 1} \right)$.
Compute the sum of the integers from 1 to 1000.
Calculate $\sqrt{2 + \sqrt{2 + \sqrt{2 + \dots}}}$
A radioactive substance is decaying according to the formula x = ke^(-0.2t) where x is the amount of material remaining after t years and k is the initial amount.
A construction company wants to number new houses using digit plates only. If the company puts an order for 1212 plates how many houses are to be given numbers? (The numbers of houses are consecutive and the number of the first house is 1).
A group of dancers consists of x boys and x girls. If two of the boys are replaced by two girls, then 48% of the group members will be boys. Find the original value of the boys.
Point P has cylindrical coordinates of (8, 30deg, 5). Find the value of x in the Cartesian coordinates.
A furniture manufacturer has two machines, but only one can be used at a time.
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