Calculus
6th Edition
ISBN: 9781465208880
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 13.2, Problem 50PS
To determine
To find: The work done of an object.
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Chapter 13 Solutions
Calculus
Ch. 13.1 - Prob. 1PSCh. 13.1 - Prob. 2PSCh. 13.1 - Prob. 3PSCh. 13.1 - Prob. 4PSCh. 13.1 - Prob. 5PSCh. 13.1 - Prob. 6PSCh. 13.1 - Prob. 7PSCh. 13.1 - Prob. 8PSCh. 13.1 - Prob. 9PSCh. 13.1 - Prob. 10PS
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- 14arrow_forward3. DETAILS SCALCET8M 14.5.510.XP. Let W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable, and the fol u(-3, 6) = 1 us(-3, 6) = 7 Ut(-3, 6) = -2 FU(1, -5) = -9 v(-3, 6) = -5 Vs(-3, 6) = 9 Ve(-3, 6) = 2 F(1, -5) = 8 Find Ws(-3, 6) and W(-3, 6). Ws(-3, 6) = 19 We(-3, 6) = 34 %3D Viewing Saved Work Revert to Last Response Submit Answer SCALCET8M 14.6.005. DETAILS Find the directional derivative of f at the given point in the direction indicated by the f(x, у) %3D у сos(хy), (0, 1), 0 -п/4 Ps Duf(0, 1) = Type here to search LE 4.arrow_forward1. Given A = (yz + 2r)i + xzj + (xy + 2z)k. Evaluate , A• dr along the curve x +y = 1, z= 1 in the positive direction from (0, 1, 1) to (I, 0, 1). simplearrow_forward
- 7. In this problem, we prove that a straight line is the shortest curve between two points in R. Let p, q E Rª and let r be a curve such that r(to) = p and r(t1) = q, where to < t1. (a) Show that, if u is any unit vector in Rd, the r'(t) · u < ||r'(t)|| for all t. • u (b) Show that (q – p) · u < / ||r (t)||dt. to 1 (c) Show that the arc length of r from r(to) to r(t1) is at least ||q- p||. Hint: Consider a well-chosen unit vector u.arrow_forward3. Find the exact value of f F dr using any method. b. F(x, y, z)= C is the line segment from (1, 0, -2) to (4, 6, 3)arrow_forward35. Evaluate F.dr: (a) F = (x+z)i +zj+yk. C is the line from (2,4,4) to (1,5,2). (b) F= x²i+zsin(yz)j + y sin(yz)k. C is the curve from A4(0,0,1) to B(3,1,2) as shown below. B A (c) F = yi-xj+zk. C is the circle of radius 3 centered on the z-axis in the plane z=4 oriented clockwise when viewed from above. (d) F = 4x³i + (x+y)j. C is the curve y=sin(2x) from (0,0) to (7/2,0). (e) F = (-y³ + sin(x²))ī + (x³ − ln(y² +1)) j . C is the circle of radius 5 centered at (0,0) in the .xy- plane oriented counterclockwise.arrow_forward
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