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1) ∫C (e2y -2xy)dx + (2xe2y - x2 +1)dy, C:r(t) = <tet, 1+t>, t = 0 to t=1
2) ∫C F.dr, where F(x, y) = (2x -e-y)i + (4y + xe-y)j, and C:y = x4, y = 0 to X =2
3) ∫C X2 Ydx - xy2dy where C is the boundary of the region in the first quadrant
4) A particle, starting at (5, 0), transverses the upper seicrcle x2 + y2 = 25 and returns to its position along the x- axis. Find the work done on the particle by a force
F(x,y) = xyi + (x2 + 2xy)/2j
How long will it take before it is considered dangerous to live in this mountain valley - atmospheric pollutants in a certain mountain valley grown according to a natural growth model
i. Find the equations of the tangent lines to the circle where x = 4. ii. Find the equation of the normal lines to this circle at the same points.
One of the design requirements for the wheelchair states that the motor must be able to supply 40 Nm of torque at 100 rpm. Determine whether this particular motor has the power to meet that requirement.
Show that the Hawaiian Earring is homeomorphic to the one-point compactification of the disjoint union of countably many copies of the open interval (0, 1)
Assume that the firm increases its expenditure on variable inputs by $63 (1 %) to $6,363. Show that the level of output increases by λ ∗ 63.
What is the shortest possible completion time (SPCT)? The SPCT is the longest path through the graph from beginning to end. What is the earliest start time (EST) for each activity?
How do you calculate the beta of a firm and what financial statements are necessary?
a young couple eve and steven want to divide their four main household chores so that each is responsible for two of
What is the probability of a Type I error? Explain this concept in the context of this problem to Julie's coach, who has never studied statistics
For example, a patient who begins the day in fair condition has a 12% chance of being in critical condition the next day and a 3% chance of being discharged the next day in improved condition. a. Consider a patient who enters the hospital in good..
Determine the average amount of time that a guest spends checking in. How would this change under each of the state options? Which option do you recommend?
In one section, cable runs from the top of one tower down to the roadway, just touching it there, and up again to the top of a second tower. The towers stand 40 inches apart. At a point between the towers and 10 inches along the road from the base..
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