Let r(x) = f(g(h(z))), where h(1) = 2, 9(2) = 2, H' (1) = 9,9 (2)...
12. Let g(x), h(y) and p(z) be functions and define f(x, y, z) = g(x)h(y)p(2). Let R= = {(x, y, z) E R3: a < x <b,c sy <d, eszsf} where a, b, c, d, e and f are constants. Prove the following result SS1, 5100,2)AV = L*()dx ["Mwdy ['Plzdz.
plz help me analysis question! Thanks in advance 2. Let h : R-+ R be the smooth function given by h(z) g is as in Problem 1 g(z + 2g(2-x) for all r E R, where (a) Show that if a < -2 0 g(2) if -2< <-1 h(x) if 2 0 (b) Use part (d) of Proble 1 to show that for all E 0,9 in fact for all ,. Conclude that for all e 0,1 The functions from...
This is a MATLAB question so please answer them with MATLAB steps. Let f(z) = V3z sin(#) and P(z) =r-x-1. 1. Find f(e) 2. Find the real solution(s) to Px) 0. Hint: use the roots command. 3. Find the global minimum for f(x). Hint: plot f over [0,2] 4. Solve f()P. Hint: plot f and P over [0,21. 5. Find lim,→0+ f(x). Hint: make a vector hi make a table [x + h; f(x + h)]". 6. Find '(In 2)....
I need help on this question Thanks 1. Let g(x) = x2 and h(x, y, z) =x+ y + z, and let f(x, y) be the function defined from g and f by primitive recursion. Compute the values f(1, 0), f(1, 1), f(1, 2) and f(5, 0). f(5, ). f(5, 2) 1. Let g(x) = x2 and h(x, y, z) =x+ y + z, and let f(x, y) be the function defined from g and f by primitive recursion. Compute...
11. (8 marks) Let F(x, y, z) = x'yz, where r, y,z E R and y, z 2 0. Execute the following steps to prove that F(z,y,2) < (y 11(a) Assume each of r, y, z is non-zero and so ryz= s, where s> 0. Prove that 3 F(e.y.) (y)( su, y su, z sw and refer back to Question (Hint: Set 10.) 11(b) Show that if r 0 or y0 or z 0, then F(z, y, z) ( 11(c)...
(2) Let f : Rn → R be a C2 function. Suppose a sequence (zk) converges to x*, where the Hessian Hf(z.) is positive definite. Let ▽ := ▽f(xk)メ0, Hfk := H f(zk), dkー-Bİigfe, and :=-[Hfel-ı▽fk for each k, where each matrix Bk is ll(Be-Hfe)del = 0 if and only if ei adtive lim lidt dall =0. (11 points) (2) Let f : Rn → R be a C2 function. Suppose a sequence (zk) converges to x*, where the Hessian...
(1 point) Let [ f(z)dx=-13, 5° f(x) dx = 3, $*g(x) dx = 6, §*9(a) dx = 1, J2 Use these values to evaluate the given definite integrals. a) ["{$(2) + 9()) dx = 6 .) – g(x)) dx = * (31(2) + 29(2) de = (af(x) + g()) dc = 0. d) Find the value a such that a=
Question 2 f'(x) glx) g(x) g'(x) x 5 6 4 z 3 z -4 3 -2 2 4 5 o -5 8 2 A. find h'll), where h(x)=2x-3f(x) 3 0 a B find hils), where h(x) = f(x) g(x) C. find h (3), where h(x) = f(g(x)) D. find n (4), where h(x)= (g(x))*
Both please In Questions 6-9, let g) which yon may assiue is irnohucible in Zal drl where a, b, Let F Zaa Glr). (The typiral elet of Fcan be written as a tbuturde za and 2-1 + (g(z)) İs a root of g(r).) tu+c+d (undder mulriplication (6) 8. Caleulate()in F, or explain why this inverse does not exist. (8) 9. Find the miniu polyamial, h) in arl, of the element v in F. Show your work and explsin how yuu...
Let f: R"R be the function TL Σ Ι.rlp. f(z) where 1 < p. Show that the conjugate is where 1/p+1/g-1 Let f: R"R be the function TL Σ Ι.rlp. f(z) where 1