If x is so small that x3 and higher powers
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 Medium JEE Mains 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 …
If x is so small that x3 and higher powers
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Web28 mrt. 2024 · If x is so small such that its square and higher powers may be neglected then find the value of (1 -3x)^1/2 + (1 - x)^5/3/ (4+x)^1/2. If x is so small such that its … 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 + ----)
WebNext, 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 ... WebIf x is small so that x 2 and higher powers of x can be neglected then the approximate value for (1−4x) −3(1−2x) −1(1−3x) −2 A 1−2x B 1−3x C 1−5x D 1−4x Medium Solution …
WebIf x is small so that x 2 and higher powers can be neglected, then the approximate value for (1−4x) −3(1−2x) −1(1−3x) −2 is A 1−2x B 1−3x C 1−4x D 1−5x Medium Solution Verified by Toppr Correct option is C) (1−4x) −3(1−2x) −1(1−3x) −2=(1+2x)(1+6x)(1−4x) 3=(1+2x)(1+6x)(1−12x)=1−4x Since if x is very small, then (1+x) n=1+nx Video Explanation 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...
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}
Web28 mrt. 2024 · If x is so small that x^3 and higher powers of x may be neglected, asked Oct 10, 2024 in Mathematics by Samantha (39.3k points) binomial theorem; jee; jee mains; 0 votes. 1 answer. If x is so small that … daniel johnson intercoastal medical groupWebExpert 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. daniel j mcdevittWeb25 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 daniel j newlin pa faxWeb17 feb. 2024 · If x is so small such that its square and digher powers ... 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 … daniel j pirontimaritime launch services stock priceWeb10 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 … daniel jones cia investigationWebIf 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 1 − 8 3 x 2 daniel jorge cavigliasso