6. Evaluate le.lda A. ( 10 points) C is the unit circle 11-1 B. (10 points)...
(10) (8 points) Evaluate the line integral Scry ds, where C is the upper half of the circle r2 + y2 = 4.
Q5) Evaluate $c f(z) dz where C is the unit circle Iz| = 1 and f(2) is defined as follows a) f(z) = z2+z2+z_ b) f(x) = tan z c) f() = cosha
Q5. (10+10+5=25 points) a) Use Green's Theorem to evaluate the line integral $. 3x2ydx - 3xy’dy along the negatively oriented curve C which is the boundary of the region enclosed by upper half of the circle x2 + y2 = 4 and x-axis. b) Evaluate Sc, 3x” ydx – 3xy?dy where C1 is only upper half of the circle x2 + y2 = 4. c) If P = 0, Q = x in part (a), find $ xdy without taking...
Problem 1 (10). Let C denote the circle 2| = 2 in the positive direction. Evaluate the integrals. 4.50 (a) (2-3 2ds C (2) ee2 (b) peli-2)
Problem 1 (10). Let C denote the circle 2| = 2 in the positive direction. Evaluate the integrals. 4.50 (a) (2-3 2ds C (2) ee2 (b) peli-2)
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+y-1. 15.) Evaluate: F dr, where F(x, y) = xyi +(y+ x) j and C is the unit circle
+y-1. 15.) Evaluate: F dr, where F(x, y) = xyi +(y+ x) j and C is the unit circle
Evaluate SI ez?+y? dA where R is the upper half portion of the unit circle. R
Identify the argument of the function. 1 2./ 3 .031 Use the unit circle to find all values of between 0 and 2 for the following Enter your answers as a comma-separated list.) tan . 3.-/2 points Trigo 3.3.043 Graph the unit circle using parametric equations with your calculator set to degree mode. Use a scale of 5. Trace the circle to find the sine and cosine of the angle to the nearest ten thousandth 2100 sin 210°C COS 2100...
Evaluate the integrals below with knowing . is the counterclockwise unit circle. a) b) We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
9,10,11
-/1 POINTS SCALCET8 5.5.057. Evaluate the definite integral. 10. -/1 POINTS SCALCET8 5.5.059. Evaluate the definite integral. 11. |-/1 POINTS SCALCET8 5.5.060. Evaluate the definite integral. xe-x2 dx
7. (16 points) (a) (6 points) Evaluate the arc length of the curve C with vector equation r(t) = sin(at)i – cos(at)j + atk, te[-1,2]. (b) (10 points) Evaluate the surface area of the paraboloid z=3 - 202 – 2y2 that lies above the ry plane.