2.) E valuate the following integral Se eddx + xydy, where t is the time segment....
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2. Evaluate the line integral where C is the given curve: BE SURE THAT YOU PARAMETERIZE EACH CURVE! (a) e dr where C is the are of the curve r y' from (-1,-1) to (1, 1): (b) dr dy where C conusists of the arc of the circle 2+ 4 from (2.0) to (0.2) followed by the line segment from (0.2) to (4,3) (c) y': ds where C is the line segment from (3,...
i need help with two questions
DE valuate S tan (t) dt 2) Evaluate and simplify Je cos (8x) dx Se WITNESSITA DATE SIGNATURE
Problem 1. (16.2 Line Integrals) Evaluate the line integral Jc xeids, where C is the line segment from (0,0,0) to (1.2,3).(t,at,3t)
Problem 1. (16.2 Line Integrals) Evaluate the line integral Jc xeids, where C is the line segment from (0,0,0) to (1.2,3).(t,at,3t)
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xdy - ydx ф 30v2 where c is the boundary of the 3 Evaluate the line integral 1 segment formed by the arc of the circle x2 +y2-4 and the chord y-2-1 for x 2 0.
xdy - ydx ф 30v2 where c is the boundary of the 3 Evaluate the line integral 1 segment formed by the arc of the circle x2 +y2-4 and the chord y-2-1 for x 2 0.
X 16.1.19 Evaluate Sxas x ds, where C is С t a. the straight line segment x =t, y= 5, from (0,0) to (20,4) b. the parabolic curve x =t, y = 262, from (0,0) to (1,2)
Problem 1 Evaluate the line integral / x2 ds, where C is the line segment from (3,0) to (0,4) in the xy-plane.
The rms value for a time-dependent current I(t) is defined as I_rms = [1/T integral^T_0 I^2(t) dt]^1/2, where T is the period. Following this definition, I_rms for a sinusoidal current I(t) = I_0 sin(2 pi t/T) is
Exercise 10.12. i) (A contour integral) Let TR -R, RSR, where R E (1, 0o) half-plane with centre 0 that goes and SR is the semicircular arc in the upper from R to-R. Use a clear sketch of「R and the calculus of residues to evaluate the integral 「R 1+24 , and then decide which of the following five statements is true: (A) Rel < -3 (B) ReI e [-3,-1); (C) ReI [-1,1) (D) ReI E [1, 3); (ii) (An integral...
12. Evaluate the integral.∫(sec ²(t) i+t(t²+1)⁵ j+t⁵ ln (t) k) d t13. Find r(t) if r'(t)=t⁵ i+e^{t} j+3te³t k and r(0)=i+j+k.14.Find f'(2), where f(t)=u(t) · v(t), u(2)=(1,2,-1), u'(2)=(3,1,7), and v(t)=(t, t2), t3).
No 3
putin uhd e integral lound a r the val- 0 VIIl, 81. EXERCISES Compute the curve integrals of the vector field over the indicated curves. (x,y)=(x2-2xy,y2-2xy) along the, parabola y=x2 from (-2,4) to 2. 0x, y, xz - y) over the line segment from (0,0, 0) to (1, 2, 4), 3, Let r (x2 y2)1/2 Let F(X)-X. Find the integral of F over the circle of radius 2, taken in counterclock wise direction. 4. Let C be a...