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A dam with a vertical face has a gate that is in the shape of an isosceles triangle 3 ft wide at the top and 2 ft high. The upper edge of the gate is 10 ft below surface of the water. Find the total force on the gate due to water pressure. Water weighs w lbs/ft^3
Calculate the exact values.
Adams High School has 174 freshman, 181 sophomores, 214 juniors, and 249 seniors. If two students are selected at random without replacement, what is the probability of selecting a freshman on the first selection and a senior on the second selecti..
Integral from zero to infinity of cos(x^2) dx = integral from zero to infinity of sin(x^2) dx = 1/2 * (square root of pi/2).
Suppose that the simultaneous equations F(x,y,z)=0 and G(x,y,z)=0 define x=f(z) and y=g(z) implicitly, Determine expressions for dx/dz and dy/dz in terms of partial derivatives of F and G
A random variable y has a Rayleigh distribution, if and only if its probability distribution is given by:f(y)=2(alpha)y^(-alpha y^2) , y>0 and alpha>0
Expressing the given exponential function as a power series by determining its coefficients.
Prove or disprove that the subgroup H is normal in the group G and what is the order of the factor group D8=Z(D8)?
A chip is selected at random, what is the probability that it is from Machine I and is defective? A chip is selected at random, what is the probability that it is defective?
What is the probability of choosing a queen from a deck of 52 cards? What is the probability of the 2nd card being a queen if the first was a queen? (without replacement)
Please provide a detailed, step by step solution for the following problem using a triple integral if possible. Find the volume inside the paraboloid Z = X^2 + Y^2 below the plane Z = 4
Mean and Variance of a Probability distribution, A bank keeps tracks of customers coming into the bank between 12 Noon and1 PM on Monday.
Find the slope and the equation of the horizontal line that passes through (-325, 185) Find the slope and the equation of the vertical line that passes through (-325, 185) Find the difference quotient of f(x) = 1/x^2
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