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The table below gives x and y coordinates of a particle in the plane at time t.
Assuming that the particle moves smoothly and that the points given show all the major features of the motion, estimate the following quantities:
a. The velocity vector and speed at time t=0.5.
b. Any times when the particle is moving parallel to the y-axis.
c. Any times when the particle has come to a stop.
Show that series n=1∑∞ (-1)n / (2n + 1)1/2 is conditionally covergent. Use one of the comparison tests to show that this is not absolutely convergent.
Find the area of the region bounded by the graph of y = (x2 - 5x + 6)e2x and the x-axis. Find the volume of the solid obtained when the region under the graph of y = sin-1(x/ 2) for 0 ≤ x ≤ 2 revolved around the y-axis.
If the probability of an event is .857, what is the probability that the event will not occur?
How many seats should the airline sell in order to minimize their expected losses?
A consulting engineer's time is billed at $30 per hour, and her assistant's is billed at $20 per hour. A customer received a bill for $715 for a certain job. If the assistant worked 3 hours less than the engineer, how much time did each bill on th..
What is the minimum possible time required for completing the project? What is the latest possible time that Activity D may be started without delaying the completion of the project? What is the latest finish time for Activity F
A jet travels 1686 mi against the wind in 3 hours and 2136 with the wind in the same amount of time. What is the rate of the jet in still air and what is the rate of the wind?
Compute the integral of xdz (|z|=r) for the positive sense of the circle in two ways first by using parametrization and second by observing that x=(1/2)(z+z conjugate)=(1/2)(z+r^2/z) on the circle.
A. Use vector techniques to prove that a triangle and its medial triangle have the same centroid, stating each step of the proof. Provide written justification for each step of your proof.
The ages of workers in the Illuminex plant are approximately normally distributed with a mean of 42 years and a standard deviation of 10 years. A worker is stopped at random and asked to fill out a questionnaire. What is the probability that this ..
If t=0 at the start, for what values of t will the velocity of the particle A exceed the velocity of particle B.
Some students attend school 180 of the 365 days in a year. About what part of the year do they attend school?
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