Osx where k-25 and F(s) = L{F(x)}, then the value of F(1) rounded to two decimal...
x, 05x<1 if f(x) = {k, 15x<2 where K-3 and F(s) = {{f(x)}, then the value of F(2) rounded to three decimal places is ex X22
Consider the following. 1, -LSX<0. 10. OSX<L; f(x + 2) = f(x) (a) Sketch the graph of the given function for three periods. (In these graphs, L = 1.) f(x) — — - - - 1 -3 -2 -1 1 2 -3 3 3 -2 -1 . 2 1 (b) Find the Fourier series for the given function. R0 - 4 - ŠOx)
2 (25 pts). Let an algorithm has complexity S(n)=S(n-1)+f(n), where for k=1,2,3,... f(k)=k+k/3. Answer these two questions: (1) Find the closed form for S(n) if S(2)=1. (2) Prove by mathematical induction that the closed form you found is correct.
A firm's Cobb-Douglas production function for output x is f(l,k)= 25/5k5, where / (labour) and k (capital) 9. are variable inputs costing w (wage rate) and r (rental cost of capital) each per unit (a) Follow the two-step (indirect) method' and begin by setting up the firm's cost- minimisation problem and deriving the three first-order conditions (FOC8) (4 marks) 2(wr)2 x2 (where, to be clear, (c) The cost function derived from the FOC8 above is c(w,r,x) 3125 1 5 the...
3. Verify Stokes' Theorem for the vector field F(x, y, z)= (x2)ĩ+(y2)]+(-xy)k where S is the surface of the cone +y parametrized by (u,v)-(ucos v, u sin v, hu) x2+y2 a at height h above the xy-plane Z = a V 0<vsa, OSvs 2n, and as is the curve parametrized by ē(f) =(acost,asint, h), 0sis27 as x2+ a
3. Verify Stokes' Theorem for the vector field F(x, y, z)= (x2)ĩ+(y2)]+(-xy)k where S is the surface of the cone +y parametrized...
F(XIYIZ) Evaluate the the surface integral (2x+34, 44-32, 42) where consists - and s of the paraboloid 2 = x² ty?, o = 25 l, and the disk osx² + y²21, 221, with s oriented at an outward normal.
The value (rounded to 4 decimal places) is = 0.8989 QUESTION 7 Given sin x = 0.3420°, find the value of cos (90 x)". Round the value to 4 decimal place: [a] QUESTION 8 Upload the solution and sketch of the following: An observer at the top of a 247-ft cliff measures the angle of depression from the top of the cliff to a point on distance to the nearest foot. Selected Answer: test8.jpg Remove Click Save
0 〈 y 〈 x2く1· Consider two rvs X and Y with joint pdf f(x,y) = k-y, (a) Sketch the region in two dimensions where fx,y) is positive. Then find the constant k and sketch ) in three imesions Then find the constant k and sketch f(r.y) in three dimensions (b) Find and sketch the marginal pdf fx), the conditional pdf(x1/2) and the conditional cdf FO11/2). Find P(X〈Y! Y〉 1/2), E(XİY=1/2) and E(XIY〉l/2). (c) What is the correlation between X...
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For the function f(x) = ln(x2+25). Find all interval(s) where f(x) is increasing. Select all that apply. (O, 5) (-0, 0) (-5, 0) ol-00,-5) None (0, 2) (5, 00) For the function f(x) = in(x2+25). Find all interval(s) where f(x) is decreasing.Select all that apply. (5, 0) (-00, 0) O (0, 5) (-0, -5) (0, 0) None (-5, 0) For the function f(x)=Ln(x2+25), identify any relative maximum or minimum point(s). Select all that apply. (21n(5), ) is...
Evaluate the surface integral FdS
11. F = x++ yj tz2k; s is the part of the cone z2-x2 + y2 for which l s z S 2, with n k positive.
11. F = x++ yj tz2k; s is the part of the cone z2-x2 + y2 for which l s z S 2, with n k positive.