2 of,x²-x-1=0 a" - fn a-B a, ß are roots (a>ß) and, t = n (n≤N), if, b₁=1, b = = t n n-1 (n ≥2) find the value of b X S=Σ" =? n=110" +t n-2

1 What is the direction of fastest increase at (-3, 4, –4) for the function f(x, y, z) = x2 + y? + z2 (Use symbolic notation and fractions where needed. Give your answer in the form (*, *, *).) direction:

Zi(x)=N6x-9,8(x) = 1 X Find A) (x). N6x-9 X B) x|6x-9 x|6x-9 D) X N6x-9

The general polynomial of degreen has the form = a,x" + a,-1x"- + .. + azx? + ajx + ao, where a, + 0. Find P'(x).

Problem YOUDEN RECTANGLE'S PROBLEM BIBD- Balanced Incomplete Block Design . There is a matrix m x n. This matrix can be 26 x 4 but we can change this dimension if 26 x 4 does not admit a feasible solution. • m> n + 1 • The rows are called "blocks" and the columns are called "forms" • Every form is composed by the same number of blocks • • Every block is composed by the same number of forms The matrix is full and every single spot should be filled with a treatment Every treatment is is replicated r times in the Youden rectangle • Every treatment appears in every form maximum one time • Every couple of treatment appear together in every form 1 times Every treatment appear in all single blocks the same number of times v = number of treatments (1,2,3,4,.....,n) n = blocks (columns) m = forms (rows) r = number of times every treatment is replicated λ = number of times two treatment appear together in the same form Constraints: 1) nxm=vxr - 2) 1 (v 1) = r (k-1) 3) m > v then r > n Goal The…

9UOTIENT DIFFERENCE CompuTE b = X 3D Ltdの (X)) Xト S- こX (メつ WI