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A contour map is shown for a function f on the square R = [0, 6] cross product [0, 6]. Assume a = 3, b = 6, c = 3, d = 6, e = 10, f = 0, g = 0, h = 20, i = 30, j = 40, k = 20, l = 30, m = 40.
(a) Use the Midpoint Rule with m = n = 2 to estimate the value of the following.
∫∫R f(x, y) dA
(b) Estimate the average value of f.
Probability of creating a mini license plate with an R. A mini license plate for a toy car must consist of a letter followed by two numbers. Each letter must be an R, U or N. Each number must be a 2 or 6
Use chain rule to find dz/dt when z= x2+4xy+y2 and x=3s-t and y=st
Explain how you decide whether it is easier to solve a system by substitution or the elimination method. Response should be detailed and include an example
How do you find (and what is it) the principal branch of the following complex powers:
At noon, ship A is 65 km due north of ship B. Ship A is sailing south at 14 km/hr and ship B is sailing east at 16 km/hr. How fast are the the two ships approaching each other 5 hours later at 5:00?
In the World Series, one National League team and one American League team compete for the title, which is awarded to the first team to win four games. In how many different ways can can the series be completed?
When b=2 show that the differential equation in the above figure has a solution of period k. Show that det A(t)= 1 for all t then use this to show that the floquet multipliers are roots of x2-bx+1=0 when b is the trace of A(k).
Let A, B and C be subsets of a universal set U and suppose n(U) = 100, n(A) = 30, n(B) = 30, n(C) = 32, n(A ∩ B) = 9, n(A ∩ C) = 10, n(B ∩ C) = 14 and n (A ∩ B ∩ C) = 5.
find a formula for the general term of a sequence , assuming that the pattern of the first few terms continues 1,6,16,31.
Differentiate the following functions with respect to x. Use the quotient rule to differentiate y= 2x4 - 3x/4x - 1
Determine the number of triangles ABC possible with the given parts.
Effectiveness White flies are devastating California crops. An area infested with white flies is to be sprayed with a chemical which is known to be 98% effective for each application.
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