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The daily and annual variations of temperature at the surface of the earthmay be represented by sine-wave oscillations, with equal amplitudes and periods of 1 day and 365 days respectively. Assume that for (angular) frequency ω the temperature at depth x in the earth is given by u ( x, t ) = A sin( ωt + μx ) exp(- λx ), where λ and μ are constants.
1. Use the diffusion equation to find the values of λ and μ .
2. Find the ratio of the depths below the surface at which the two amplitudes have dropped to 1 / 20 of their surface values.
3. At what time of year is the soil coldest at the greater of these depths, assuming that the smoothed annual variation in temperature at the surface has a minimum on February 1st?
If I have a right prism with the prism height being 8 and the prism base being an isosceles triangle with a base of 3 (sides of 6) what is the lateral area and the volume of the prism
tyrone is selling 4 pizzas by the slice to help raise money for the marching band. After lunch, he has 2 1/2 pizas remaining. During dinner he sells 1/4 remaining pizza. Write an expression can be used to find the amount of all 4 pizzas Tyrone sol..
a mountaineer leaves home at 7am and walks to the top of the mountain arriving at 7pm. the following morning he starts
if steve's bank offers him a savings account paying 5.3 compounded quarterly and jill's bank offers her an account paying 5.28% continuously who is getting the better offer?
Determine the break-even volume of work for a company with a fixed overhead of $63,000, a contribution margin ratio of 11.0%, and a required level of profit of $60,000.
How many vertices and faces are there in ??
I will use * to symbolize a partial derivative. For example, u*x denotes the partial derivative of u with repsect to x. Here is the problem, D'Alembert's solution for the one-dimensional wave equation for a semi-infinite string.
define an equation to represent the baker's income based on the number of loaves and muffins he makes. How many of each should he make for maximum income?
the legs of a picnic table form two isoceles triangles wher m ACB = 110degree. Find the measures of angles x and y so that the top of the table will be parallel to the ground. would the answer be x = 110 degree, y = 70 degree?
The theoretical probability of undesirable side effects resulting from taking Grebex is 1 in 12. If 600 people take Grebex to lower their blood pressure, how many will encounter undesirable side effects?
display the real and imaginary parts for sin z and cos z where z x iy.comment we havesin z sin x cosh y i cos x
a newspaper finds that the mean number of typographical errors per page is three. find the probability that a exactly
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