difference equation, math homework help

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fbel

Mathematics

Description

sketching the graph of the equation for( f) with all parameters ( a ,alpha one ,alpha two, mu one, sigma) by using wolfram Alpha program . (f)should be always in the x axis . there are some examples of the graphs I included in files . it will be very similar. make sure you take small values for alpha for to get perfect graph.

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dF 1  1 3    3     21a   2 a3    1   2 a 2    4 a  1a3     1a 2   da F  2 4  2 8    dF a   4 a  1a3  d F dF a3  1      a  1a3  d1 F 4  dF a  1     1a   2 a3  d 1 F  4  1 1 2      The graph of the equation F 2    1 a   2 a3     a  1a3  4 8 8   2   2 2 The below graph shows the smallest value for alpha  2  0.4  separately . The below graph shows the smallest values for alpha 1   2  0.125 separately The below graph combines all of the values for alpha the blue curve represents the graph when  2  0.5 , 1  2,   1, 1  0.5 the red curve represents the graph when  2  0.25 , 1  2,   1, 1  0.25 and the green curve represents the graph when  2  0.125 , 1  2,   1, 1  0.125 We have -oa+ . 8 4 2 -σα+ 2 8 Consider the function f of multiple variables (F.4,0,0,0,0.)-**-[4-45+ [ -oaan]) =s=171- -σα +- M at- 2 8 dz The formula for implicit differentiation f(x,y,z) then dy fy ta dF To calculate , we set z=F, y=a. da -oa + f, = fa о F? @al 4 a + 2 GAL - 0,0])-[(- 0.01) -0-2(-***') (-5-4-0')-2-00 - admin +lo plato_44 3 aa? 1-2-oat - a, a a + ) 3 -ot-a, a 1,= (-) ---- *']) 2G) 4-5*]) (-34) -0-0-2--+-+ --C-02+54,2)(-2+0) =24l-oa +4 0,0 we have fe = F. Then 2 dF do using the implicit differentiation dF to do fr 21-04 2a -oa+-a,a 4 IF 2 4a -oa+-aa 4 a 11 dF do -40a+aja) df 4a2 4a 8 - do (-0 +ava?) = 42 a-- atļaua" - cosy F df = 427 F -ve vales dF da dF da, F[(-24.ata,a) 5. - ,a')+(-400 +2,2 asa)+(-40a+a,a")(-0+ aa) de - 2 / ( 4oa + a,a") al (sa + aa - 0) pel asa' - - oat car dF a dμ, da de The graph of the equation uq a + 8 Plot & in ang da The below graph shows the smallest value for alpha (a, = 0.4) separately df F da 2.924 dF Vertical F 2 a 1 2 3 The below graph shows the smallest values for alpha (a, = a, = 0.125) separately F 10 a 10 70 O 1.8 200 200 150 150 0.0 100.0 0.0 100.0 Figure 12. Frequency-response curve for increasing the amplitude of external excitation F. 3.6 01.8 25 25 10 0.0 300.0 0.0 100.0 the of external excitation F. Figure 13. Frequency-response curve for decreasing the amplitude 3.0
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Explanation & Answer

HI there! Please find the 5 graphs attached. Let me know if you have any questions! It was a pleasure h...


Anonymous
Just the thing I needed, saved me a lot of time.

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