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Suppose that the three coordinate planes are all mirrored and a light ray given by vector a=(a1,a2,a3) first strikes the xz-plane, then the reflected ray strikes the xy-plane and the reflected ray of this ray strikes the yz-plane. Use the fact that angle of incidence equals the angle of reflection, show that the reflected ray b=(a1,-a2,a3). Deduce that after being reflected by all three mutually perpendicular mirrors, the resulting ray is parallel to the initial ray. Thank you.
Find the altitude of a parallelepiped determined by vectors A, B, and C if the base is taken to be the parallelogram determined by A and B and
how do you work out the trapezoidal rule estimate the integral within equal four, the integral of sign to t, from 0 to pie, when the answer is 1.8961.
the morrison family bought a car at $24000 which was financed at $600 per month for 40 months. The down payment was $5000. (a)? what was the installment price,... (b)? what is the financial charge and amount financed.
Explain what assumption the researcher should be willing to make if a margin of error is desired.
Ron the realtor is offered a job directly out of real-estate school. he has a selection as to which way he will receive his salary the first year.
illustrtes the impact of diversification. ignores the probability distribution of cash flows. can only measure one outcome at a time
Optain the academic standards for kindergarten for three states (available on state education websites). Compare the standards in a single category such as math or reading and describe how the standards are similar or different across the states.
Two chemicals A and B are combined to form a chemical C. The rate of the reaction is proportional to the product of the instantaneous amounts of A and B not converted to chemical C.
Use Newton's method to find the coordinates of the inflection point of the curve y = ecos(x),0 ≤ x ≤ π , correct to six decimal places.
Conditional Probability Example I'm trying to set up an excel spreadsheet to solve a statistical probability.Patients 23% (smokers) -18% have a chance of contracting a serious illness
A man ordered 3 times a many boxes of ballpoint pens as boxes of felt-tip pens. Ballpoint pens cost $4.37 per box. Felt-tip cost $3.44 per box. Total cost is $82.75. How many boxes of each type of pen did he buy?
Define a Fourier Transform. What are its properties and application areas ? Describe its application in signal processing.
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