gudspeling
gudspeling
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Let the G.P. be a + ar + ar^2 + ar^3 + ... a + ar + ar^2 = 7ar^3/(1-r) 1 + r + r^2 = 7r^3/(1-r) (1-r)(1+r+r^2) = 7r^3 1 - r^3 = 7r^3 1 - 8r^3 = 0 8r^3 = 1 r^3 = 1/8 r = 1/2 The ratio of successive terms is 1:1/2 or 2:1 Edit: Sum of t…
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Let the G.P. be a + ar + ar^2 + ar^3 + ... a + ar + ar^2 = 7ar^3/(1-r) 1 + r + r^2 = 7r^3/(1-r) (1-r)(1+r+r^2) = 7r^3 1 - r^3 = 7r^3 1 - 8r^3 = 0 8r^3 = 1 r^3 = 1/8 r = 1/2 The ratio of successive terms is 1:1/2 or 2:1 Edit: Sum of t…
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(uvw)' = u'vw + uv'w + uvw' y = 10(x^5)(e^x)sin(x) u = 10x^5, u' = 50x^4 v = e^x, v' = e^x w = sin(x), w' = cos(x) dy/dx=50(x^4)(e^x)sin(x) +10(x^5)(e^x)sin(x) +10(x^5)(e^x)cos(x) dy/dx = 10(x^4)(e^x)[5sin(x) + x.sin(x) + x.cos(x)]
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(uvw)' = u'vw + uv'w + uvw' y = 10(x^5)(e^x)sin(x) u = 10x^5, u' = 50x^4 v = e^x, v' = e^x w = sin(x), w' = cos(x) dy/dx=50(x^4)(e^x)sin(x) +10(x^5)(e^x)sin(x) +10(x^5)(e^x)cos(x) dy/dx = 10(x^4)(e^x)[5sin(x) + x.sin(x) + x.cos(x)]
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Let the G.P. be a + ar + ar^2 + ar^3 + ... a + ar + ar^2 = 7ar^3/(1-r) 1 + r + r^2 = 7r^3/(1-r) (1-r)(1+r+r^2) = 7r^3 1 - r^3 = 7r^3 1 - 8r^3 = 0 8r^3 = 1 r^3 = 1/8 r = 1/2 The ratio of successive terms is 1:1/2 or 2:1 Edit: Sum of t…