7. Let RVs Yand Yhave the following joint pdf f(x,y)=L if 1 srs2,1Sys2 0, otherwise a) Determine the value of k inf(x·y). Plotf(x, y). b) Determine and plot the marginal pdfs fx) and fy) c) Determine PX>1, Y <0 d) Determine the conditional pds, f(xy) and f() xly) arn
Chapter 42, Problem 027 A radioactive nuclide has a half-ife of 24.3 y. What fraction of an initially pure sample of this nuclide will remain undecayed at the end of 65.4 y? Number the tolerance is +/-3% Show Work is REQUIRED for this question: Open Show Work Units
QUESTION 7 Solve for (x, y, z), if there is a solution to the given system of linear equations: - 4x + 2y + z = 1 X- y + 3z = -5 3x + y - 4z = 10 (-1,-3, 1)) (1,3,-1) No Solution (1,3,1)
transform to solve the given system of dit Use the +x-y- o x(t)-
transform to solve the given system of dit Use the +x-y- o x(t)-
7. Solve the system of equations: ii) X - 3 Y = 2 X - Y = -2 Y= x - 1 X + Y = 11 iii) 2 X. +3Y=2 X - 2Y = 8
Solve the given initial value problem.
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Solve the given initial value problem. y''' + 12y'' +44y' +48y = 0 y(O)= -7, y'(0) = 18, y''(0) = - 76 y(x) =
Solve the given initial value problem for y = f(x). dy = 5x - 3 where y = -3 when x = -7. dx y
QUESTIONS Solve the IVP: 3Y. 6, y + Y[2] =4 x 7 X 23 y[x]= 6x5 + 6 7X 176 y[x] = 5 x4 + 5 135 7 x y[x] =- + 4 X 4 8 3 X y[x] = y[x]- 3 2
Solve the given system of DE by Elimination method. 3) (D - 2)x - y =- et - 3x + (D - 4)y=- 7 et
Displacement 1 is in the yz plane 65.4 ° from the positive direction of the y axis, has a positive z component, and has a magnitude of 5.31 m. Displacement d2 is in the xz plane 38.3 ° from the positive direction of the x axis, has a positive z component, and has magnitude 2.23 m. What are (a) did2 . (b) the x component of dixd2 .(e) they component of dixd2 , (d) the z component of dix d2...