A Second Course in Calculus - download pdf or read online

By Harley Flanders

ISBN-10: 148323102X

ISBN-13: 9781483231020

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Then y = (ibh2)/(ibh) = %h. 19. x = £(a + b + c + d). /-plane and height h measured along the 2-axis. Then z = (&AQh2)/(iA0h) = \h. 44 Chapter 11 Section 5, page 455 2. 4. Mo>2(3a2 + 2/&2)/18ergs products: 0, Izz = &Ma2, Ixx = Iyy = ^M(a2 6. , Iyz = - | M 6 c , etc. (2/2 + 22 + Z2 + X2 + X* + I/2) d F 8. Ilz = \{I„ +Iyy + I„) = i8 - / / / - 10. / / / + 4/*2). ■ p2 dF, etc. /•/•/" x2 y2 z2 M = 8 11 dx dy dz over — + — + —2 < 1. Let x = au,y = bv,z = cw: 2 JJJ a M = 8 ill b* c (abc) du dv dw over u2 + v2 + w2 < 1.

Section 5, page 348 2. 1 4 1 4 1 4 (2" ' , 2 ' , 2- / ) 4. (±1,0,0) 6. 2 8. Each plane z = b cuts the paraboloid in an ellipse. If b > 1, the point (1, 0, 4), directly above (1, 0, 0), is closer to (1, 0, 0) than is any point on this ellipse; if 0 < 6 < 1, the point ( 2 V o , 0, b) where the ellipse meets the (first quadrant of) the x, z-plane is closest. Minimize f(b) = ( 2 v 6 — l ) 2 + b2 for 0 < b < 1. Section 6, page 35 7 2. min 4. neither 6. neither 8. neither 10. neither 12. min 14. none 16.

22. 24. {x). 2 18. -1 [/flf](fic) = f(tx)g(tx) = rf(x)t"g(x) = ^ + w [ / ^ ] ( x ) z/*(k) + Mf^tot) + p/,(k) = ntn~y(x). Set * = 1. 26. Set /<(x) = (df/dZi) (x). Then £ a\-/t-(x) = n/(x). Substitute fcc for Ete

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A Second Course in Calculus by Harley Flanders


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