1.
In which year did the mountain climbing problem receive the Mathematical Association of America's Lester R. Ford Award?
Correct Answer
B. 1990
Explanation
In 1990, the mountain climbing problem was awarded the Mathematical Association of America's Lester R. Ford Award.
2.
What defines a dimension?
Correct Answer
D. Number of coordinates
Explanation
A dimension is defined by the number of coordinates required to specify a point in that space. In mathematics and physics, dimensions represent the independent variables needed to describe the position or movement of an object. For example, in a two-dimensional plane, two coordinates (x and y) are needed to locate a point. In three-dimensional space, three coordinates (x, y, and z) are required. Therefore, the number of coordinates determines the dimensionality of a space.
3.
How many parts does a complex number have?
Correct Answer
B. 2
Explanation
A complex number has two parts: a real part and an imaginary part. The real part represents the horizontal component of the number, while the imaginary part represents the vertical component. These two parts are combined to form a complex number in the form a + bi, where a is the real part and bi is the imaginary part. Therefore, the correct answer is 2.
4.
The mountain climbing problem makes sure that two climbers always have an identical factor. What is this factor?
Correct Answer
A. Height
Explanation
The factor that ensures two climbers always have an identical factor in the mountain climbing problem is the height. This means that both climbers are at the same elevation or altitude as they ascend the mountain.
5.
When was the mountain climbing problem named?
Correct Answer
B. 1966
Explanation
The mountain climbing problem was named in 1966.
6.
What is a real-valued function explicated on the real numbers, whose graph is composed of straight-line section?
Correct Answer
A. Piecewise linear function
Explanation
A piecewise linear function is a real-valued function that is defined by different linear equations on different intervals. Each linear equation represents a straight-line section on the graph of the function. This means that the graph of a piecewise linear function is composed of straight-line sections rather than curves. Therefore, a piecewise linear function is the correct answer to the question.
7.
Which is an example of four-dimensional objects?
Correct Answer
A. Tesseract
Explanation
A tesseract is an example of a four-dimensional object. It is a geometric figure that exists in four dimensions, just as a cube exists in three dimensions. While coffee cups, spheres, and prisms are all three-dimensional objects, a tesseract goes beyond our three-dimensional perception and represents a four-dimensional shape.
8.
Who named the mountain climbing problem?
Correct Answer
A. James V. Whittaker
Explanation
James V. Whittaker is credited with naming the mountain climbing problem.
9.
How can you find an approximation to a known curve?
By...
Correct Answer
A. Sampling the curve
Explanation
One way to find an approximation to a known curve is by sampling the curve. This involves selecting a set of points along the curve and using these points to represent the overall shape. By sampling the curve at regular intervals or strategically chosen points, we can get a good approximation of the curve's behavior without needing to consider every point on the curve. This method is commonly used in computer graphics and data analysis to simplify complex curves and make them easier to work with.
10.
How many dimensions does the surface of a cylinder have?
Correct Answer
A. 2
Explanation
The surface of a cylinder has two dimensions because it can be represented by a flat shape, like a rectangle, that has length and width. The height of the cylinder is not considered as part of its surface dimensions. Therefore, the correct answer is 2.