Given the CDF of a random variable
Given the CDF of a random variable Given the CDF of random variable X, find P(X GT 1/2). What is the value of a such that P(X LE a) = .9 Determine the Probability Density Function (PDF) from the CDF..
Given that the Maclaurin series for 1/1-x is 1+x+x^2+x^3+x^4
a. Find the first five non-zero terms in the MacLaurin for the function f(x)=In(1-4x^2). b. Explain what the interval of convergence is for this series. Justify your answer..
given dp/dt = rp(1-P/k)
In this model
r = net growth rate (birth rate - death rate)
K= the maximum sustainable population
Find an explicit solution to the differential equation using seperation of variables.
Suppose.
Given that f : A(arrow)B and g : B(arrow)C are functions. In each of the following cases, answer yes or no. If "yes", give a proof. If the answer is "no", give a counterexample and say what additional hypotheses are needed to make the statement true; then prove the statement.
Given the following vector field and oriented curve C, evaluate integral F. T ds. F =x,y on the parabola r(t) = 4t,13t^2, for 0 <= t <= 1 The value of the line integral of F over C is . (Type an exact answer, using radicals as needed.).
Given that the acceleration vector is a (t) = (-9 COS (- 3t)) i + ( -9 sin (-3t)) j + (5t) k, the initial velocity is V (0) = I + K and position vector is r (0) = i + j + k, compute: The velocity vector V.
Given a differential equation dy/dt = f(t,y), y(t_0) = y_0, a unique solution is guaranteed to exist in a rectangle which contains the point (t_0,y_0) in the ty-plane where f(t,y) and Delta f/Delta y (t,y) are both continuous. Which of the following differential equations have a unique solution near the.
Given f(x) = 2x(x-2)^3
(a) Find the first and second derivative and factor completely.
(b) Find critical points of the first and second derivative
(c) Create a separate sign chart for each derivative (indicating intervals where each derivative is positive and.
Given that f(x) and g(A) are independent .solutions of a linear homogeneous differential equation on (a. b), which of the following must also be solutions? 0 (D) 2 f(x) - 3 g(x) f(x) g(x) f(x) g(x) Both (A) and (B) Both (B) and (C).
given F(x) = (2x-5)/(x+7) and g(x) = (x+1)/(x+4) find F of G in simplest form and determine the following: A) the domain of F of G B) limit as x approaches infinity f of g C) the vertical asymptotes of f of g.
Given A epsilon P(X) define the characteristic function X_A: X rightarrow {0, 1} X_A (x) = {0 if x A, 1 if x epsilon A. Suppose that A and B are subsets of X. Prove that the function x X_A (x) X_B (x) (multiplication of integers) is the characteristic function.
Give the equation of a function with the following characteristics:
The functions crosses the x-axis at the point (-2, 0) and touches the x-axis at the point (1, 0)..
Given is a PERT project network diagram as shown below Activity Start A B C D E F G H I J K Time 0 10 4 13 9 7 7 4 12 7 20 15 0 a) The Project Completion time = b) The Earliest Start time, ES, of.
Give the general solution to dy/dx = 4 x sec (y/x) + y/x sec (y/x) ran (y/x) - 4 1n (x) = c sin (y/x) + 4 1n (x) = C sin (y/x) - 4 1n (x) = C sec (y/x) + 4 1n (x) = C sin (y/x) -.
Given that an vector of int named a has been declared , and that the integer variable n contains the number of elements of the vector a, assign -1 to the last element in a..
Given a nonhomogeneous linear ODE: y'+3y=2sin2t with initial condition y(0)=0
a) Take Leplace transform on both sides and solve Y(s)
b) Use Leplace inverse transform to find the particular solution y(t)=L^-1(Y(s)).
Given that (x_n) is a sequence of real numbers, that x > 0, and that x_n ---> x as n ---> infinity, prove that there exists an integer N such that the inequality x_n > 0 holds for all integers n>N..
Given a line l and a point P where P is not on L, prove that there are at least two distinct lines m and a passing through P and intersecting L. Prove that If A*B*C and AB=Ac then B=C..
Given equation dy/dx=x4y y(1-)=1 Given the step size h = 0.5, approximate the y-value at x = 1 by using both Euler's method and RK method, then compare the results. Given the step size h = 0.1, please compare (such as graphes, result table) the results using Matlab. (hint: you.
Given the basis {(1,2. -2)^t, (4,3,2)^t, (1,2, l)^t}for R^3, use the Grain-Schmidt process to obtain an orthonormal basis in the following cases. With respect to the usual inner product. With respect to the inner product given by [2 0 0 0 3 0 0 0 5].
Given the linear differential equation y' p(t) y g(t) (1) The corresponding homogeneous equation is (2) a) Show that ifx(t) and 2(t) are solutions of (2), then u(t) a XI B2 (t) is also a solution of (2) for any numbers a and B is also a solution of (1).
Given the following Matlab Code... I need to adjust it so I get this 2nd function IVP_Solver() This program solves as initial value problem and plots its solution DEFINE PROBLEM y0 = 2; Initial value function dydt-IVPfct (t, y) Below is the definition of dy/dt dydt- y.^3 end THE INTERVAL.
Given the circuit below and the following information CMRR = 38dB, RB = 1k Ohm, beta DC = beta AC = 100, hie = 2600 Ohm, VCE = 5V, IC = 1mA For potentiometer, R1 = R2 = RT/2 = 50 Ohm, with RT = 100 Ohm CMRR = RE/[(RB.
Given that x_n is greater than or equal to 0 for every positive integer n and that x is a partial limit of the sequence (x_n), prove that x is greater than or equal to 0.
**x_n = x sub n.
Given that lim x rightarrow 3 f(x) = -2 and lim x rightarrow 3 g(x) = 4, find the following limit. lim x rightarrow 3 4 - f(x) / x + g(x) lim x rightarrow 3 4 - f(x) / x + g(x) = (Simplify your answer.).
Given the following vector field and oriented curve C, evaluate F T ds. F = - 3y,3x on the semicircle r(t) = 3 cos t,3 sin t, for 0 <= t <= pi F.T ds (Type an exact answer, using it as needed.).
Given the demand function D(x) = 8800 - 30x and the supply function S (x) = 7000 + 15x find the equilibrium point the consumer surplus at the equilibrium point the producer surplus at the equilibrium point.
Given the maximization problem Max Z = 60x_1 + 30x_2 + 20x_3 subject to the constraints 8x_1 + 6x_2 + x3 lessthanorequalto 48 4x_1 + 2x_2 + 1.5x_3 lessthanorequalto 20 2x_1 + 1.5x_2 + 0.5x_3 lessthanorequalto 8 x1 x2 x3 greaterthanorequalto0 What is the final tableau? Find the allowable range.
Given f(x)=(1/x)+lnx, defined only on the closed interval (1/e) <= x <e
a. Show your reasoning, determine the value of x at which f has its:
(i) absolute maximum
(ii) absolute minimum
b. For what values.
