
![Date. Page t = x² yo (424) y = 4 d (och) hehet (xct-4) [ 4x3] dy doc 4 ② horizontal tangency (- وم) A 3 cos30 -%co c TIG 1/6.](http://img.homeworklib.com/questions/0ab6ff80-e822-11ea-b2f5-2525d41c5fae.png?x-oss-process=image/resize,w_560)
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6. Let a curve be parameterized by x = t3 – 9t, y=t+3 for 1 st < 2. Find the xy coordinates of the points of horizontal tangency and vertical tangency.
rose 3 sin (40) - Find all points 0 <0 < 27 where the curve r = 2 - 4 cos 0 has vertical or horizontal unes.
Final page 5 of 13 4. Let f(x)8+1 a) Find all the critical points. b) Find the interval(s) where f(x) is decreasing. List these intervals c) Find the r coordinates of all relative maxima. d) Find, if they exist, the s-coordinates of all points of inflection e) Determine the intervals where f is concave up. List these intervals
Final page 5 of 13 4. Let f(x)8+1 a) Find all the critical points. b) Find the interval(s) where f(x) is decreasing....
Let X and Y ~U(0, 1]. X and Y are independent a) Find the PDF of X+Y b) Suppose now X~(0, a] Y~(0,b] and . Find the PDF of X+Y Ο <α<b
15. Let fx (x) = e", x > 0 . Let Y = (X-If . Find f,V).
How to solve it?
Let F =< -2, x, y2 >. Find S Ss curlF.nds, where S is the paraboloid z = x2 + y?, OSz54.
3. Find the length of the curve y = y=for 0 < x < 2.
Question-4: Suppose Y is a continuous random variable with the following pdf where ) is the parameter. f(y) = le-ly; y> 0, 1 > 0 Let X = e-Y a)[2 points) Find the distribution function of X. b)[2 points) Find E[X +1]. (Show detailed calculation for both parts)
4. Let f(x, y) = 6x, x > 0, y > 0, x +y < 1. Find P(X< }). (a) .3827 (b) .2593 (c).2126 (d).1875 (e).1383
4. (20 pts) Suppose the boundary-value problem y" – y=x, 0 < x < 1; y(0) = y'(1) = 0 Let h = 1/n, X; = jh, where j = 0,1,..., n and u; y(x;). Consider two "exterior" mesh points 2-1 = -h and 2n+1 = 1+h. Write out an 0(ha) approximate linear tridiagonal system for {u}. Hint: Let u-1 = y(x-1) = y(-h) and Un+1 = y(2n+1) = y(1 + h). Then using f(a+h) – f(a – h). f'(a)...