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How many of the following 8 shapes can be created by taking a cross section of a cube?

A cross section is the resulting shape that's on the surface ...

Which pocket will the ball end up in?

Assume that the ball is shot at a 45 degree angle directly from corner \(\text{B}\) of the table and that it ...

\[\large \int_1^e \left [ \left(\dfrac{x}{e}\right)^x + \left(\dfrac{e}{x}\right)^x \right ] \ln x \, dx = ae + \frac be \]

The equation above holds true for non-zero ...

There is a \(10 \text{ kg}\) box of length, height, and width \((L = 2\text{ m}, H = 0.5\text{ m}, W = 1\text{ m})\) sitting on a rough surface ...

TOPICS for week 1+2.

Logarithms, Trigonometry(Ratios and Identies) , Quadratic Equations, Squence and series, Binomial Theorem

Rules

I will post the first problem. If someone solves it, he or ...

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