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Find (dy)/( dx) for;
(i). y = x7
(ii). y = x2γ
(iii). y = x-3
(iv). y = x
Cardioids and Limacons These can be split up into the following three cases. 1. Cardioids: r = a + a cos θ and r = a + a sin θ. These encompass a graph that is vaguel
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round to the nearest hundreths 1677.76
can i known the all equations under this lesson with explanations n examples. please..
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Verify Liouville''''s formula for y "-y" - y'''' + y = 0 in (0, 1) ?
Solution i. y = x7 (dy)/( dx) = 7x 7-1 = 7x6 ii. y = x2? (dy)/(dx) = 2γ x(2γ- 1) iii. y = x-3 (dy)/(dx) = -3x-3-1 = -3x-4 vi. y = x (dy)/( dx) = 1x1-1 = 1.x0= 1 (since x0=1)
Solution
i. y = x7
(dy)/( dx) = 7x 7-1 = 7x6
ii. y = x2?
(dy)/(dx) = 2γ x(2γ- 1)
iii. y = x-3
(dy)/(dx) = -3x-3-1 = -3x-4
vi. y = x
(dy)/( dx) = 1x1-1 = 1.x0= 1 (since x0=1)
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