Number of boxes along X axis= 6
Number of boxes along Y axis = 3
Fx = 6 N
Fy = 3 N
Magnitude of resultant,
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305mm f- ,02 Vin pipe. AB = 2.45 mls a) Find Conmusary orse ん ん /h C d b) Fid Cocal en enpy losse s at sudder contacten and sudden lines t the ayute
We say that zois a source or a sink for a given flow f(2) if there exists a circle around it such that the contour integral of f(z) around this positively oriented circle is purely imaginary with imaginary part positive or respectively negative. Alternatively, we say that zois a positive or negative vortex for a given flow if there exists a circle around it such that the contour integral of f(z) around this positively oriented circle is real positive or...
Additional Problem 4. We say that mp is the pth quantile of the distribution function F if F(mp) = p, 0<p<1. Find mp for the distribution having the following density functions: (a) f(x) = 5e*r, x > 0. (b) f(x) = ir', 0 < x < 2. -1<r1
P2.9.7 Let A be a set and f a bijection from A to itself. We say that f fixes an element r of A if f(x) = r. (a) Write a quantified statement, with variables ranging over A, that says "there is exactly one element of A that f does not fix." (b) Prove that if A has more than one element, the statement of part (a) leads to a contradiction. That is, if f does not fix 2, and...
If everything is so random in the nanoworld of cells, how can we say anything predictive about what's going on there?
(5) Let f: [0, 1 R. We say that f is Hölder continuous of order a e (0,1) if \f(x) -- f(y)| . , y sup [0, 1] with 2 # 1£l\c° sup is finite. We define Co ((0, 1]) f: [0, 1] -R: f is Hölder continuous of order a}. = (a) For f,gE C ([0, 1]) define da(f,g) = ||f-9||c«. Prove that da is a well-defined metric Ca((0, 1) (b) Prove that (C ([0, 1]), da) is complete...
12 2. Consider the heat equation where for simplicity we take c = 1. Thus au du ar2 at Suppose that a heat conducting rod of length a has the left end r = ( maintained at temperature ( while the right end at r = is insulated so that there is no heat flow. This gives us the boundary conditions au u(0,t) = 0, (7,0) = 0. Find the solution u(x, t) if the initial temperature distribution on the...
need help please 6. We say f(x,y) is a function of x +y if f(x,y) = g(x+y) for some one variable function g. For example, sin(a+y) and ex+w' are functions of x + y. (a) Find a condition on the differential equation A(x, y) + B(x,y) = 0 so that it may be transformed into an exact equation via an integrating factor (+ v). (b) What is a formula for this integrating factor. (c) Use this strategy to solve (7x*...
D Question 11 if f(n) = n and g(n) = n*8, we can say that f(n) - O(g(n)) (Big-Oh) and also f(n) - o(g(n) [little-o] True @ False