Find the value of k if the remainder when the polynomial 2x^4 + kx^3 -11x^2 + 4x + 12 is divided by (x-3) is 60.
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Calculate log 5 and log 0.125, given that log 2 = 0.3010
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If x^2/y + y^2/x = 9, 1/x + 1/y = 3/4, find the values of the product xy and hence solve the given equations completely.
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Solve the simultaneous equations, x + y = 6, x^2y^2 + 2xy – 35 = 0
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Calculate
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A sample of dry soil is uniformly mixed with 16% by mass of water and compacted in a cylindrical mould. The volume of wet soil is 1 x 10^-3 m^3 and its mass 1.60kg. If the specific gravity ...
Find the mass of this wet mixture which will be required to produce by static compaction
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A sample of soil is prepared by mixing a quantity of dry soil(specific gravity of particles 2.7) with 10.5% by weight of water. Find the mass of this wet mixture which will be required to produce by static ...
Calculate
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A sample of clay soil of volume 1 x 10^-3 m^3 and mass 1.762kg, after being dried out in an oven had a mass of 1.368kg. The specific gravity of the particles was 2.69. Find, for the sample ...
Calculate the water content, the wet density and the dry density of the soil
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In order to determine the density of a clay soil, an undisturbed sample was taken in a sampling tube whose volume was 1.6 x 10^-3 m^3. The following data were obtained:
Mass of tube(empty) ...
Define the following terms
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Define the terms water content, porosity and void ratio as applied to soil. Derive the relationship between the porosity and the void ratio.
In a test on a soil sample, the following result were ...
Mention ten biology apparatus
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