Part II Fundamental Theorem of Line Integral
soft curve (-1, 1) up to (3, 2)
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Part II Fundamental Theorem of Line Integral soft curve (-1, 1) up to (3, 2)12x+yi+20x + y)jldr C: curva suave desde (1...
Evaluete the line integral using the Fundamental Theorem of Line Integrats. Use a computer atgebra system to verify your results.$$ \int_{c}(2 yi+2 xj)=d r $$Ci smooth curve from \((0,0)\) to \((2,7)\).
A. Fundamental theorem of line integrals B. Green's Theorem c. Parameterize the curve and compute the line integral long-hand D. none of the above, problem cannot be solved Consider the line integral (el + cos x + y) dx + +yey + dy where C is the curve pictured below. 2 (-1,-3) (3,-4) Identify the best approach to doing this problem:
F(x,y) =-yi + xj. 3 The path C is part of the curve y -Vr from (1,1) to (4,2), with unit tangent vector T and unit normal vector n (take n to have positive j component). The closed path C (with unit tangent vector T and outwardly directed unit normal vector n) extends C by the straight line from (4,2) to (4,0), then along the z-axis to (1,0), followed by the straight line back to (1,1
there is first question E then there is the question of the value of the line integral ,then quwstion A, then question 1, and the last two pictures are one question Question E (5 points) By Green's theorem, the value of the line integral y 4 is: , where C is the curve given by a) 3 c) 12t d) 27T e) If none of the above is correct, write your answer here in a box rover the line segment...
13. (6 pts) FTLIs, Green's, and Divergence Theorems (a) Complete the table below. Theorem Need to check: FTLIs The vector field Il curve Il surface IS: Green's Theorem | The vector field II curve ll surface is: and: Divergence Theorem The vector field |l curve l surface is: (b) For each of the following, choose all correct answers from the list below that can be used to evaluate the given integral. List items may be used more than once. i....
need help with #4. need to identify best theorem to use and find solution. Table 14.4 Fundamental Theoremsdtb)-a) or Calculus Fundamental Theorem f.dr-un-nA) of Line Integrals Green's Theorem Circulation form) Stokes' Theorem F-nds Divergence Theorem Evaluate the line integral for the following problems over the given regions: 1. F (2xy,x2 C:r(t) (9-2.),0sts3 3X3dy-3y3dz; C is the circle of radius 4 centered at the origin with clockwise orientation. 2. 3. ye""ds; C is the path r(t) (t,3t,-6t), for Ost s In8...
Evaluate the line integral of the function f(x,y)= (x+y2)/(sqrt(1+x2)) over the curve C: y=x^2/2 ; from (1,1/2) to (0,0)
Find the arc length of the curve y - x over the interval 1,12 (a) 8 points Using the Fundamental Theorem, Part 2 (b) 2 points Use your "DEFINT" program to find M,1, T1 and Sz2 (c) 2 points Using your TI-84's built-in Integral calculator using MATH >>> MATH >>9: fnlnt (d) 2 points In your text book, there are formulas that give the maximum er in approximations given by MN, T, and Sy for the integral A a f(x)...
a) Set up an integral that gives the length of the curve y^ 2 + y = 2x from the point (1, 1) to (3, 2). Do NOT evaluate the integral. b) Let R be the region bounded by y = 1 and y = cos x between x = 0 and x = 2π. Set up an integral that gives the volume of the solid formed by rotating R about the line x = −π. See the figure below....
calculus 3 solve 1 & 2 please 1. 120 pts] Evaluate the line integral sy'xds along the curve C: 암 srat, c.rts y:러 z- c.st (20 pts] Evaluate the directly (by using the definition) the line integral xy'dr-x2 ydy along 2. the plane curve C, which consists of the curve yva from (4.2) to (1,1) and line segment from (1,1) to (4.2) (4,2 1. 120 pts] Evaluate the line integral sy'xds along the curve C: 암 srat, c.rts y:러 z-...