1.3 Given x[n]-a-2?Mn + 2]-2Mn] + (1+ J)Mn-1] , find a) Ren] b)Imxnl c) Even^x[n] d)...
8. 2mn, b-m2-n, and c = m2 + n2 be the sides of a a. Let a Pythagorean triangle. Suppose that b -a + 1. Show that (m - n)2 - 2n2 1, and determine all such triangles. b. Find the smallest two such triangles. 8. 2mn, b-m2-n, and c = m2 + n2 be the sides of a a. Let a Pythagorean triangle. Suppose that b -a + 1. Show that (m - n)2 - 2n2 1, and determine...
Given f(x) = 2 log(x) – 2, find f-1(-8). b) 27 c) 27 d) -3 e) 3 f) None of the above.
(B)(C)(D)(E)(G)(I)(J) 39 Write the Taylor expansion of function f order n at to given below. 1 (a) (g)2+v1+ I, n 2,ro - 0 n = 7, xo = 0 1 -2-3 (b) sin z cos(2x), (c) z In(2+3z), VI+I n= 3, To = 0 1 +e-1/ (h) 2+x n =5,xo= +o0 n= 3, ro = 1 T (i) cos (2r), n 4, xo= 6 (d) n = 7,xo = 0 COSI i) V+-VI3-, n 4, 1o =+00 (e) In(1+ arcsin(2r)),...
1. Consider the sets: A = {a, b, c, d, e, f, h, j}, B = {a, b, i }, C = {f, h} and U = {a,b,c,d,e,f,g, h,i,j} a. Draw a Venn diagram and place each element in its appropriate region. Insert a photo of your diagram into your HW document. b. Is C a subset of A? Why? C. Is C a subset of B? Why? d. Is A a subset of B? Why? e. Are B and...
13. Integrate: a. j«x+278)dx 0 b. (dx х c. dx 9+ x d . xdx? +2 dx 2x+1 хр '(x’+x+3) f. I sin (2x) dx g. cos (3x) dx h. ſ(cos(2x)+ + secº (x))dx i. [V2x+1 dx j. S x(x² + 1) dx k. | xe m. [sec? (10x) dx 16 n. .si dx 1+x 0. 16x 1 + x dx 5 P. STA dx 9. [sec xV1 + tan x dx 14. Given f(x)=5e* - 4 and f(0) =...
A cdf of X is given as follows. 0 8 16 1 2< (a) Find f(ar). (b) Find 50th percentile. (c) E(X) (d) V(x) A cdf of X is given as follows. 0 8 16 1 2
5. Let Mn(x) be the nth Maclaurin polynomial for f(x) e as given in the text. Use the error formula to a value of n so that |Mn (2) e10-4. You will likely want to use a calculator to determine the value of n. You might want to use the fact that e2 < 8 when working with the error formula. 5. Let Mn(x) be the nth Maclaurin polynomial for f(x) e as given in the text. Use the error...
Suppose that f(x, y) = cx, for 0 y x 2. (a) Find c. (b) Find P(x > 1 and Y < (c) Find the marginal pdf of X. (d) Find the conditional pdf of Y given that X = x. (e) Find E[Y IX x (f) Find E[E[YX]]. (g) Find Cov(X, Y) (h) Are X and Y independent? Suppose that f(x, y) = cx, for 0 y x 2. (a) Find c. (b) Find P(x > 1 and Y
(c) Idifficult] Let x ~ Binomial (n, p) where n is an even number. Find the PMF of Y g(X) mod (X, 2) where "mod" denotes modulus division of the first argument by the second argument (d) Idifficult MA] Let X~NegBin (k, p). Find the PMF of Y g(X) = mod(X, n) where n E N
Given the following information A+B-→ 2D ΔH。=-70 1.3 kJ AS" = 344.0 J/K C-D ΔΗ'-465.0 kJ AS. -143.0 J/K calculate ΔG° at 298 K for the reaction A+ B2C kJ