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Problem #8: Given the probability density function, a f(x) = { 36* s a xe =...
Problem #8: Solve the following initial value problem. y'" – 7y" - 5y' + 75y = 0, y(0) = 0, y'0) = 0, y"(0) = 8 -1/2*e^(-3*x) + 1/2*e^(5*x) Enter your answer as a symbolic function of x, as in these examples Problem #8: Do not include 'y = 'in your answer. -1e-3x + žex Just Save Your work has been saved! (Back to Admin Page) Submit Problem #8 for Grading Attempt #2 Attempt #3 Attempt #4 Attempt #5 Problem...
Problem #3: The velocity of a particle in a gas is a random variable X with probability distribution fx (x) = 343 z2 e-7x x>0. The kinetic energy of the particle is Y = 2 mx2. Suppose that the mass of the particle is 16 yg. Find the probability distribution of Y. (Do not convert any units.) Enter your answer as a symbolic 343/16*sqrt(2*y/16)*(e^(-7*sqrt(2*) function of y, as in these examples Problem #3: 343 V (e-71 (20)/16) + e7V (2/16))...
Let the joint probability density function for (X, Y) be f(x,y) s+y), x>0, y>0, 7r+yCT, 0 otherwise. a. Find the probability P(X< Y). Give your answer to 4 decimal places. 28 Submit Answer Tries 0/5 b. Find the marginal probability density function of X, fx(x). Enter a formula in the first box, and a number for the second and the third box corresponding to the range of x. Use * for multiplication, / for division and л for power. For...
For problem #1 I used the formula FV=PV(I+i)^n where I solved for n to get 8.2097. Im unsure of how to solve question #2. Help ASAP would be very appreciated. Thank you. Problem #1: How many years does it take for a deposit of $1000 to reach $3150 with an annual effective interest rate of 15%? Problem #1: 8.2097 Answer correct to 4 decimals Just Save Your work has been saved! (Back to Admin Page) Submit Problem #1 for Grading...
10. Let X be a continuous random variable with probability density function -T xe h(x) = { x > 0 x < 0 0 a. Verify that h(x) is a valid probability density function. [7] b. Compute the expected value E(X) and variance V(X) of X. [8]
Problem #13: Find the radius of convergence of the following power series. (5x-8)" Σ M=1 Problem #13: Just Save Your work has been saved! (Back to Admin Page) Submit Problem #13 for Grading Attempt #1 Attempt #2 Attempt #3 Problem #13 Your Answer: Your Mark:
Problem #8 : A lamina with constant density ρ(r.))-5 occupies the region under the curve y-sin(m/8) from x-0 to x-8. Find the moments of inertia 4 and Enter the values of 4 and ly (in that order) into the answer box below, separated with a comma. Enter your answer symbolically, as in these examples Problem #8: Just save Submit Problem #8 for Grading Problem #8 | Attempt #1 | Attempt #2 Attempt #3 Attempt #4 Attempt #5 Your Answer: Your...
Problem #7: Which of the following statements are always true for vectors in R3? (i) If u (vx w)-4 then w - (vxu)-4 (ii) (5u + v) x (1-40 =-21 (u x v) (ili) If u is orthogonal to v and w then u is also orthogonal to w | V + V W (A)( only (B) (iii) only (C) none of them (D) (i) and (iii) only (E) all of them (F) (i) only (G)i and (ii) only (H)...
Problem #2: Evaluate the following, 1000 f(x2 + 8) dx, and write your answer in the form g(x) e-10x + C. Enter the function g(x) into the answer box below. Enter your answer as a -100*(x^2)-20*x+790 symbolic function of X, as in these examples -100x2 – 20x + 790 Problem #2: Just Save Submit Problem #2 for Grading Attempt #3 Attempt #4 Attempt #5 Problem #2 Attempt #1 Attempt #2 Your Answer: -(100x² + 20x + 810) -100.x2 - 20x...
Problem #5: The graph of f is given to the 4- f() dt 3 right. Let g(x) y f(x) 2 2 1 0 1 3 1 (a) Find g(3) (b) Find g'(1) (c) Find g"(-2) (d) On what interval is g decreasing? Enter your answer symbolically, as in these examples Problem #5(a): #5(b) Pr Problem #5(c): If your interval is (a,b) then enter a,b in the answer box. Problem #5(d): Submit Problem # 5 for Grading Your work has been...