1.3. Determine an orthogonal basis for the subspace of {f₁(x) = x, f(x) = x using Gram-Schmidt process.
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- Question 8 Suppose a random sample (X1, X2,..., X25) of size 25 was drawn from a uniformly distributed population, such that X ~ Unif(1, 5). Let A = IX;, i.e., the product of all X;. Note that all X, are independent and identically distributed.Calculate the first derivative of the function f(x) = 2x e X at the point x=1.19. Express the answer with two decimal places.Find all critical numbers by hand. f(x) = x² - 23 x+5 X= and
- ng 4.50 For a laboratory assignment, if the equipment is working, the density function of the observed outeome X is S(z) = S2(1 – 2), 0Find parametric equations for the line through (- 10,2, – 4) perpendicular to the plane 10x+ 9y + 5z = 17. Let z= - 4 + 5t. .. X = y = 0I need the answer quickly1.16. Establish thermodynamically the formulae v (7)= = S and v (R), V = N. Express the pressure P of an ideal classical gas in terms of the variables and 7, and verify the μl above formulae.The scalar triple product of three vectors is a • (b x c). Prove that the scalar triple product will not change when you cyclically permute the three vectors. (i.e., prove that a • (b x c) = b • (c x a) = c • (a x b) )Please no written by hand solution