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The Distance the Particle Travels with Given Position Function x(t) = t^4 - 8t^2
The drainage from a community during a storm is a normal random variable estimated to have a mean of 1.2 million gallons per day (mgd) and a standard deviation of 0.4 mgd.
The Ellipse
The following three terms are in geometric progression: x, 2x + 7, 10x – 7. What is the 6th term?
The Formula for the Curve of a Trumpet Bell
The frame shown is to be analyzed using the portal method.
The front wheel of a bicycle has a diameter of 50 cm. Approximately how many times has the front wheel turned if the bicycle has traveled 1 km?
The General Power Formula | Fundamental Integration Formulas
The geometric mean and arithmetic mean of two numbers are respectively 8 and 17. Find the harmonic mean.
The geometric mean of two numbers is 8 and the arithmetic mean is 17. Find one of the numbers.
The graph of y = ax^2 + c has its vertex at (0, 4) and passes through the point (3, -5)
The Hour Hand And Minute Hand Of The Clock Exchanged Places
The Hyatt Regency Hotel walkway collapse is considered the best example of how important adhering to the engineering code of ethics is when designing structures. Where did this accident happen?
The Hyperbola
The inner surface area in sq. m. of an open (both ends) cylinder 2 m in height and 3 m in diameter is:
The Inverse Laplace Transform
The king’s minter boxes his coins 100 to a box. In each box he puts 1 false coin. The king suspects the minter and from each of 100 boxes draws a random coin and has it tested. What is the chance the minter’s peculations go undetected?
The largest number by which the expression $n^3 - n$ is divisible for all possible values of $n$, is:
The length of a telephone conversation is 2.5 minutes on average. What is the probability that a conversation lasts between 3 and 5 minutes?
The local weather forecaster says “no rain” and his record is 2/3 accuracy of prediction. But the Federal Meteorological Service predicts rain and their record is 3/4. With no other data available, what is the chance of rain?
The magnetic bearing of a line was recorded as S 80° 15' W in 2000 at Mactan Island which had a declination of 16° E in that year. Compute the present magnetic bearing of the same line in 2006 if the declination in 2006 is 4° 30' E.
The map shows 5 cm representing 450 km. What actual distance is represented by a map distance of 2.8 cm?
The median of a right triangle drawn to the hypotenuse is 3 cm long and makes an angle of 60° with it. Find the area of the triangle.
The middle term in the expansion of $(x^3 + 4)^{10}$ is...
The Moment Distribution Method
The Moody diagram was constructed based on which of the following equations?
The number of cars passing a point on a road during a five-minute period may be modelled by the Poisson distribution with parameter 4. Find the probability that in five-minute period, fewer than 3 cars go past.
The number of revolution per minute of a ball governor required to keep the balls h inches below the point of suspension varies inversely as the square root of h.
The numbers 28, x + 2, 112, ... form a geometric progression. What is the 10th term?
The Parabola
The pilot of an airplane left A and flew 200 miles in the direction S 20° 20' W. He then turned and flew 148 miles in the direction S 69° 40' E. If he now heads back to A, in what direction should he fly?
The point in the stress-strain test at which the material will have an appreciable elongation without any increase of load.
The Polar Coordinate System
The Polygon
The polynomial $x^3 + 4x^2 - 3x + 8$ is divided by $x - 5$. What is the remainder?
The pressure P of wind on a sail varies jointly as the area A of the sail and the square of the velocity V of the wind.