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An equilateral triangle with sides 10 m is submerged vertically in water so that the base is even with the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it.
A computer manufacturer assigns serial numbers to its computers. The first symbol of a serial number is either A, B, or C, indicating the manufacturing plant. The second and third symbols taken together are one of the numbers 01, 02,...,12, indica..
Find the resultant (sum) of the complex numbers. Express in rectangular form
Find the maximum rate of change of the function f(x,y,z) = (x^2 + y^2 + z^2)^0.5 at the point P(1,2,-2) and the direction in which it occurs.
Find the values of x and y that solve the following system of equations
air temperature T varies in a periodic manner, with highs during the day and lows during the night. Assume that the weather pattern is the same for one week, and suppose that T(in degrees Farenheit) at a particular time of day is given by the func..
About 12% of the population is math phobic. If two people are randomly selected, what is the probability both are math phobic? What is the probability at least one is math phobic?
find the area of the parcel of land that is , the area under the curve y=x^3+1 over the interval 0 and 1 where x and y are in hundreds of feet. If the land in the parcel is appraised at RM12 per square feet, what is the total value of the parcel? ..
A final exam in Sociology has a mean of 72 and a standard deviation of 9.2. if 35 students are randomly selected, find the probability that the mean of their test scores will be greater than 76.
the man is 5 feet tall. The pole casts a shadow that is 36 feet and the man casts a shadow of 8 feet. How tall is the telephone pole?
Suppose that f is continuous on [a,b]. Prove that f is integrable, i.e., ( the integral symbol with b at top and a at the bottom) f exists.
Describe all nonisomorphic central extensions of Z_2 x Z_2 by a cyclic group Z_n for arbitrary n, meaning central extensions of the form:
Find the equation of the regression line for the given data. Predict the value of Y when X=-2? Predict the value of Y when X = 4?
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