23) Find the constants a. B if the value of integration (ax³-B)dx n=2 by trapezoidal rule andSimpson 1/3 are 2.0 respectively.24)15 (-1.21.3] be a set of vectors of a sector space P(1). Show that S be a linearlyindependent of vectors.

Answered: Image /qna-images/answer/a1fa971e-a4f8-4959-aa05-084991187524.jpg

Answered: 23) Find the constants a. B if the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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13. Find the torque produced by a cyclist exerting a force of F = [45, 90, 130]N on the shaft- pedal d = [12, 17, 14] cm long. a) (-950, 930, -315) b) 3890 c) 19874 14. Given a = [3,−1,4]& c = [−2, 6, t], find t so that a and c are perpendicular. a) 4 b) -3 c) -4 d) 1866625 d) 3 15. Given = [-12, 6, k]&v = [4,-2, 4], find k so that u and v are parallel. a) 4 b) -3 c) 6 d) -12 16. An object moves along a straight line in such a way that its position is s(t) = −5t³ + 17t², in which t represents the time in seconds. What is the object's acceleration at 2.7 seconds? a) -47 b) -17.55 17. Find the unit vector of a = [-3, -7,4]. c) 17 d) -81 a) -3, -7,4] b) -3,-7,4] 4 d) [√74 74 √] 18. Derive y = -2(3-7) a) -21n3(3-7x) b) -14ln7(3-7x) c) 7ln2(3-7x) d) 14ln3(3-7x)
Find the mass M of a fluid with a constant mass density flowing across the paraboloid z = 36 - x² - y², z ≥ 0, in a unit of time in the direction of the outer unit normal if the velocity of the fluid at any point on the paraboloid is F = F(x, y, z) = xi + yj + 13k. (Express numbers in exact form. Use symbolic notation and fractions where needed.) M = Incorrect 31740πσ > Feedback Use A Surface Integral Expressed as a Double Integral Theorem. Let S be a surface defined on a closed bounded region R with a smooth parametrization r(r, 0) = x(r, 0) i + y(r, 0) j + z(r, 0) k. Also, suppose that F is continuous on a solid containing the surface S. Then, the surface integral of F over S is given by [[F(x, y, z) ds = = D₁² Recall that the mass of fluid flowing across the surface S in a unit of time in the direction of the unit normal n is the flux of the velocity of the fluid F across S. M = F(x(r, 0), y(r, 0), z(r, 0))||1r × 1e|| dr de F.ndS X
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23) Find the constants a. B if the value of integration (ax³-B)dx n=2 by trapezoidal rule and Simpson 1/3 are 2.0 respectively. 24)15 (-1.21.3] be a set of vectors of a sector space P(1). Show that S be a linearly independent of vectors.