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sphere with radius 1 centered at the origin. The sphere is tr Given is a 3 0 0 =10 2 0O 0 0 1 O) What is the first poin...
(1 point) Let C be a semicircle of radius r> 0 centered at the origin. Let P be a point on the x-axis whose coordinates are P= (r + rt, 0) where t> 0. Let L be a line through P which is tangent to the semicircle. Let A denote the triangular region between the circle and the line and above the x-axis (see figure.) (Click on image for a larger view) MON Find the exact area of A in...
Consider a sphere centered at the origin of radius 1 that rotates about the z-axis in a "west to east" direction with constant angular speed . Suppose that an ant travels "north" on the sphere with angular speed and is located at (1,0,0) at time t=0. Then the position of the ant can be given by for . Compute the acceleration and show that it can be written as where, , . We were unable to transcribe this imageWe were...
Divergence Theorem: Problem 4 Previous Problem Problem List Next Problenm (1 point) Evaluate JM F dS where F (3ay2,3a^y, z3) and M is the surface of the sphere of radius 2 centered at the origin. Divergence Theorem: Problem 4 Previous Problem Problem List Next Problenm (1 point) Evaluate JM F dS where F (3ay2,3a^y, z3) and M is the surface of the sphere of radius 2 centered at the origin.
(1 point) A body of mass 10 kg moves in the xy-plane in a counterclockwise circular path of radius 3 meters centered at the origin, making one revolution every 11 seconds. At the time t 0, the body is at the rightmost point of the circle. A. Compute the centripetal force acting on the body at time t. B. Compute the magnitude of that force. HINT. Start with finding the angular velocity o [rad/s] of the body (the rate of...
1 2 3 4 5 A solid insulating sphere of radius a -3.8 cm is fixed at the origin of a co-ordinate system as shown. The sphere is uniformly charged with a charge density ρ -154 pC/m3. Concentric with the sphere is an uncharged spherical conducting shell of inner radius b - 12.1 cm, and outer radius c 14.1 cm. P(a,o) 1) What is Ex(P), the x-component of the electric field at point P, located a distance d-33 cm from...
Use a spherical coordinate integral to find the volume of the given solid. sphere 0-1 and the cardioid of revolution o 5+ 2 cos p 21) the solid between the sphere o1 and the card Use a spherical coordinate integral to find the volume of the given solid. sphere 0-1 and the cardioid of revolution o 5+ 2 cos p 21) the solid between the sphere o1 and the card
Complex Analysis 1. Let γ is a positively oriented circle centered at the origin with radius r r > 0 ecos(e2) +21)9 (a) For r £ {1,2}, compute the integral .Дег+1)(2+2)3 d (b) For r and 2, find the principal value of that integral, if it exists. 1. Let γ is a positively oriented circle centered at the origin with radius r r > 0 ecos(e2) +21)9 (a) For r £ {1,2}, compute the integral .Дег+1)(2+2)3 d (b) For r...
GIVEN: Ω isthe portion of the surface of the sphere centered at the origin of radius 3 above 1.2 1(xy, z) the plane, z-2: Ω: the field F = (x, x,x). a) FIND the flux of VrF through Ω in the given direction: n has positive 2-component. HINT: (radius a)on Q:(spherical coordinates) b) Parameterize the path,c-a2, (r,g,z)asin g dode with orientation to agree with the given n for Ω ANS: (a) 5 c) With positive orientation,an -e DETERMINE: F.ds ANS:...
This Question: 1 pt 3 of 10 (0 This Quiz: 10 pts possible Question Help A random sample of size n 80 yielded p o.60. ct a 90% conf dence interval for p. interval. d Explain what is meant by the phrase "90% confidence interval." a. Is the sample large enough? O A. No, because np c 15 and na 2 15. O B. No, because np <15 and ng < 15 O C. No, because np - 15 and...
i need help with these two please. on the first one i have gotten to 2x^3+6x^2+5x+5=0 but do not know how to factor or where to go next. thank you this is as far as I got on the first 2 3 4 5 Find the point on the graph of the function f(x)(x + 1) that is closest to the point (-5,1). Round all numerical values in your an four decimal places (-2.3918,1.937) (3.3811,1.937) (2.3918,1.937) o (-1.937,3.3811) (-33811,2.3918) Question...
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