Evaluate the integral: sin* x cos ² x dx
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Q: Calculate a · b when a = 4į – 7j+2k, b= 5i –j – 4k %D %3D - - -
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Q: (a) L² (3x². 2 (3x² - 2x - 1) 8 (x - 3)dx (b) *(cos x) 8(x − n)dx 5 (c)( (cos x)8(x - 2π)dx
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Q: A quantity of interest Q is a function of x: Q = (1 - x²) * cos( (x+2) / x³ ) Given x = 1.70…
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Q: - 13 de Lx²/x² + 25 Evaluate the integral: (A) Which trig substitution is correct for this integral?…
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Q: Let u = (-7,3,-5) and 7 = (-1, 1, 0). Compute the following: ū x v- vx u u xu -9 (u × v) = u x (-97)…
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- Using the rules of significant figures, calculate the summation of A = 0.2 and B = 11.19The functions ¢1(x) and ø2(x) are normalized: d φ( (α) φι(α) dx 0(x) 62(x) = 1 = 1 -00 -00 and are mutually orthogonal dx oi(x) $2(x) dx 4i(x) $1(x) = 0 . Is the function b_(x) = ¢1(x) – $2(x) normalized? If not, determine its normalization constant and write the formula for the normalized y_ (x). Is the function +(x) = ¢1(x) + ¢2(x) %3D orthogonal to _(x)?Find the number of significant figures in each of the following. (a) 61.8 ± 0.3 (b) 3.86 ✕ 109 (c) 2.80000 ✕ 10−6 (d) 0.0045
- K conditions 2 is 2.00 and K condition 1 is 1.88. Why should K condition 1 and 2 should be the same?a) Write down the metric and the inverse metric, and use the definitionrpµv = 1/2gpσ(δµgvσ + δvgµσ - δσgµv) = rpvµto reproduce the results written above for rθ ØØ and rØ θØ.1.3 Determines the value of m so that the vectors ū = [-2,6,4] and v = [m,9,6] are: A) collinear B) orthogonal