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5. Is f continuous at f(1)? (10 points) [-x2 +1, 4x, f(x) = -5, -1<x<0 0<x<1...
sin (x - 1) x-TT x <T Given f(x) = x2 · Tex + 1, x > Determine if the graph is continuous at it (Show all work)
Let f(x) = { 80 -5 if < 10 - 7+ + b if : > 10 If f(x) is a function which is continuous everywhere, then we must have b = Let f(x) = 82 - 5 if x < 10 1 - 7x +b if x > 10 If f(x) is a function which is continuous everywhere, then we must have b= -6 2-5 - 2x + b if - 1 Let f(x) if 2 - 1 There...
determine the fourier series if -2 Sto f(3) = { 1 + x2 if 0<<<2 f(x + 4) = f(x) - 5={17
(15 points) Let X be a continuous random variable with cumulative distribution function F(x) = 0, r <α Inr, a< x <b 1, b< (a) Find the values of a and b so that F(x) is the distribution function of a continuous random variable. (b) Find P(X > 2). (c) Find the probability density function f(x) for X. (d) Find E(X)
Suppose X is a continuous random variable having pdf (1+x, -1 < x < 0, f(x) = { 1 – x, 0 < x <1, lo, otherwise (a) Find E(X2). (b) Find Var(X2).
2 Consider x2 if x <0 f (x) = 2x+ 1 if 0x < 2 (a) Determine whether f is continuous on the interval [0, 1]. (b) Determine whether f is right continuous on the interval [0, 1]. (c) Determine whether f is continuous on the interval [1,2].
Evaluate the Riemann sum for f(x) = x2 + 2x – 1, 1<x< 4 with six subintervals, taking the sample points to be right endpoints.
(6) Evaluate the Riemann sum for f(x) = x2 + 2x – 1, 1 < x < 4 with six subintervals, taking the sample points to be right endpoints.
8 points each 1. F is a conservative vector field. Evaluate ScF. dr where F =< 2xy3-4, 3x2y224, 4x^y323 > and C is the curve beginning at (3, 0, 5) and ending at (3, 2, -1)
Let X be a continuous random variable with PDF 4x? 0<xs1 otherwise fulx) = {4 Axsx>Find 3/16 A O 7/26 B O 7/27.CO 6/27.DO ي يمنع الانتقال إلى السؤال التالى إجراء تغييرات على هذه الإجابة