If x is so small that x3 and higher powers
WebExpert Answer. 4. (a) Find the first four terms, in ascending powers of x, of the binomial expansion of --X 4 (b) Given that x is small, so terms in x* and higher powers of x may be ignored, show 1 x + = a + bx 1 2 x + 2+ x where a and b are constants to be found. WebIf x is so small that x 3 and higher powers of x may be neglected, then (1 − x) 1 / 2 (1 + x) 3 / 2 − (1 + 2 1 x) 3 may be approximated as A 2 x − 8 3 x 2
If x is so small that x3 and higher powers
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WebIf x is so small that x 3 and higher powers of x may be neglected, then (1−x) 1/2(1+x) 3/2−(1+ 21x)3 may be approximately as: A 2x− 83x 2 B − 83x 2 C 3x+ 83x 2 D 1− 83x 2 … Web25 mrt. 2024 · Explanation: x is very small and terms with x3 and higher power to be neglected. ∴ [ { (1 + x)(3/2) – {1 + (x/2)}3} / (1 – x)(1/2)] = [ { {1 + (3/2)x + { { (3/2) (1/2)x2} …
WebSOLVED:If x is so small that x^{3} and higher powers of x may be neglected, then \frac{(1+x)^{3 / 2}-\left(1+\frac{1}{2} x\right)^{3}}{(1-x)^{1 / 2}} may be approximated as a. 3 x+\frac{3}{8} x^{2} b. 1-\frac{3}{8} x^{2} c. \frac{x}{2}-\frac{3}{x} x^{2} d. -\frac{3}{8} x^{2} WebJoint global campaign plays to the rhythm of Coldplay's new hit. "Higher Power" becomes the soundtrack for TV commercials for the debut of the new all-electr...
Websmaller than α. f(0) = 0, f(α) = 0 ⇒ f′(k) = 0 for some k∈(0, α). 152 Views. Answer. Advertisement. Zigya App. 17. If x is so small that x 3 and higher powers of x may be … Web10 okt. 2024 · If x is so small that x 3 and higher powers of x may be neglected, then ((1 + x) 3/2 - (1 + x/2) 3)/(1 - x) 1/2 may be approximated as (a) x/2 - 3x 2 /8 (b) - 3x 2 /8 (c) 3x …
Web25 mrt. 2024 · x is very small and terms with x3 and higher power to be neglected. ∴ [ { (1 + x)(3/2) – {1 + (x/2)}3} / (1 – x)(1/2)] = [ { {1 + (3/2)x + { { (3/2) (1/2)x2} / 2}} – {1 + (3/2)x + { (3 ∙ 2) / 2} (x2 / 4)}} / { (1 – x)(1/2)}] = [ { (3/8)x2 – (3/4)x2} / (1 – x)(1/2)] = [ {– (3/8)x2} / (1 – x)2] = – (3/8)x2(1 – x)–2 = – (3/8)x2 (1 + 2x + ----)
Webb) if x is small, so that x^2 and high powers can be ignored, show that (1+x) (1-2x)^5 = 1-9x Thanks Write out (1-2x)^5 (just use the terms involving 1 and -10x (I think it is) Then multiply that by (1+x) so you have (1+x) (1-10x)=1-10x+x-10x^2 =1-9x-10x^2 however x^2 can be ignored for small x Therefore = 1-9x as required Reply 2 12 years ago the west centre glasgowWeb25 jul. 2014 · The only way to do it safely is if you can guarantee that the object on the top of the stack is one that has the same result "x **2 " and " x*x ", but working that out is much harder. Eg. in my example it's impossible, as any object could be passed to the square function. Share Improve this answer Follow edited Jun 20, 2009 at 7:23 the west carlsbad caWebIf x is so small that x3 and higher powers of xmay be neglected, then(1−x)1/2(1+x)3/2−(1+21x)3 may beapproximately as: If. x. is so small that. x. 3. … the west carnavalWeb351 views Feb 17, 2024 If x is so small such that its square and digher powers may be neglected then find the appoximate value of ` (1-3)^ (1//2)+ (1-x)^ (5//3))/ (4+x)^ (1//2)` … the west celebrando a vidaWebIf x is so small that x3 and higher powers of x may be neglected and 1+x3/2 1+12x31 x1/2 may be approximated as a+bx+cx2, then. Uh-Oh! That’s all you get for now. We would love to personalise your learning journey. Sign Up to explore more. Sign Up or Login. Skip for now. Uh-Oh! the west caseWebIf x is so small that x 3 and higher powers of x may be neglected, then (1 − x) 1 / 2 (1 + x) 3 / 2 − (1 + 2 1 x) 3 may be approximated as Medium JEE Mains the west central women\\u0027s resource centre incWebNext, we can use the fact that x is so small that x^3 and higher powers can be neglected. This means that x^2 is much smaller than 1 and x, so we can neglect it as well. Therefore, we can simplify further: √((1-x)^2 - x^2) ≈ √(1-2x) ≈ 1 - x The last approximation is valid because x is so small that 2x is much smaller than 1, so we can ... the west central women\u0027s resource centre inc