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Line integrals of
36. F = 〈y, –x〉; C is the circle of radius 3 centered at the origin oriented counterclockwise.
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Chapter 17 Solutions
Calculus: Early Transcendentals (3rd Edition)
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
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Calculus, Single Variable: Early Transcendentals (3rd Edition)
Glencoe Math Accelerated, Student Edition
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- Please show work. This is my calculus 3 hw. Part A onlyarrow_forward01 (h) B A Which of the space curves above describes the vector-valued function: r(t) = (cos³ t, sin³ t, sin 2t)? Enter the number of the correct figure using one of the numerical labels 1 througharrow_forward4.4 On a metal plate in the shape of a rectangle, the temperature at a point (x,y) is given by; 100 T(x, y) 3x²+x² A) find the rate of change of T at the point (5,8) in the direction of the vector (-3,-4). Your answer should be written to 6 decimal places. b) at point (5,8) find the unit vector in the direction in which the temperature increases the fastest. Your answer should be written symbolically and should not have any decimal places. Write the components of the unit vector separatelyarrow_forward
- 1. Let R and b be positive constants. The vector function r(t) = (R cost, R sint, bt) traces out a helix that goes up and down the z-axis. a) Find the arclength function s(t) that gives the length of the helix from t = 0 to any other t. b) Reparametrize the helix so that it has a derivative whose magnitude is always equal to 1. c) Set R = b = 1. Compute T, Ñ, and B for the helix at the point (√2/2,√2/2, π/4).arrow_forwardPlease help solve for the problem provided in the photo belowarrow_forwardNumber 7. Find a unit normal vector to the surface at the given point.arrow_forward
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning
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