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Question: (a) Find div(r→ /||r→||2) where r = xi→ +yj→for r→ = 0 .
(b) Can you use the Divergence Theorem to compute the flux of r→/||r→||2 out of a closed cylinder of radius 1, length 2, centered at the origin, and with its axis along the z-axis?
(c) Compute the flux of r→ /||r→||2 out of the cylinder in part (b).
(d) Find the flux of r→/||r→||2 out of a closed cylinder of radius 2, length 2, centered at the origin, and with its axis along the z-axis.
Describe events encountered in books read as possible or not possible. B. Describe events as likely or unlikely (e.g., It is likely to snow today.
Among all the paths in S, choose a path P with the most edges. (Why is it possible to find such a P?) What can you say about the initial and final vertices of P? Why?
Using the initial- and final-value theorems, calculate the initial and final values of the causal CT functions with the following unilateral Laplace transforms.
If a ball is thrown into the air with a velocity of 50ft/s, its height in feet after t seconds is given by y = 50t - 16t^2. Find the average velocity for the time period beginning when t = 3 and lasting 0.05 s.
In a genetics experiment 5 flowers out of 8 were bicolor, and the rest were solid color. If 3 of the flowers are selected at random without replacement, what is the probability that all 3 are bicolor?
Let p represent the proportion of all actors who are extroverts. Find a point estimate for p. (Round your answer to four decimal places.) Find a 95% confidence interval for p. (Round your answers to two decimal places.)
Find parametric equations for the line from the point P = (2, -3) to the point Q = (-4,12) along which a particle moves at a constant speed in 3 seconds.
If someone of your gender is randomly selected what is the probability that the selected person would be shorter than you are? What is the minimum height of a person of your gender to join the "Top 15% Tall Club"?
The distance is measured in Bohr radii. (1 Bohr radius = 5.29 × 10-11 m. Niels Bohr (1885-1962) was a Danish physicist.) For example, P(1) = 1 - 5e-2 ˜ 0.32.
For an electric circuit, let V=cos 2pi(t) model the electromotive force in volts at t seconds. Find smallest positive value of t where 0
In a triangle ABC, if r 1 is the exradius of the excircle opposite to A, r 2 is the exradius of the excircle opposite to B and r 3 is the exradius of the excircle opposite to C
The ratio of the width to the height of a 43.3 cm (diagonal) laptop computer screen is 1.60.
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