(b) Obtain the quartic interpolating polynomial of the form f(x) = a + bæ + ca² + dæ® + ex* which passes through all the following points. 1 2 3 4 y = f(x) 56 264 808 1940 3984 Hence find: () a +b+c+d + e (ii) a – b (iii) f(5.5) (iv) f'(1) (v) f"(1) (vi) f"(1)

Q: a. Let f(x) = (-4x² + 3) (-4x² − 3). - Then f'(x) = b. Let g(x) = 2√√x + 3 x4 +2x² Then g'(x) Hint:…

A:

Q: f (x) 3 1 g(x) 1 4 3. 2. 4. 2.

A: Suppose f , g are differentiable function then by product function f·g is also differentiable and we…

Q: 2 nd the domain of the function f(x) : (x² – x – 12)(x2 + 1)

A:

Q: 1 Find the domain of the function f(x,y) = 128 - 256(4x + 8y – 56) Domain D= {(x,y) : #0} Express…

A: we have to find domain of the given function f

Q: If f(x) 52-8 ²-8 f (4x) + 1 = for x + √8, what is ƒ (4x) + 1?

A:

Q: a(bx+j)(cx+k)(dx+m)² (ex+n)(gx-p)(hx+q)' with the following conditions a,b,c,d,e,g h.j,k,m,n,p.q are…

A: Given type of function is fx =abx+jcx+kdx+m2ex+ngx-phx+q

Q: 3) Let f(x) = and g(x) = 2 +x 1-3 x Compute and simplify (f g) (x), then state its domain.

A: Given: f(x)=x2+xg(x)=11-3x The objective is to find f∘g(x)

Q: (4) Find the domain of f(x) = Vx3 – 2x² – 24x. (A) [-4, 0] (B) (6, ∞) (C) [-4, 0] U [6, ∞) (D) [-4,…

A:

Q: Find f(g(2)). i# ƒ(x) = 1 6 x+1 and g(x) = (x + 3)² O 27 o 47/3 o 3/13 O 50

A: Given: ⇒f(x)=6x+1 ⇒g(x)=(x+3)2

Q: Let the quadratic function f be defined by f(x)=2x-x² Compute the following. (a) f(4) (b) f(0) (c)…

A: Given query is to find the Indicated function operation.

Q: L. nft 7r 2x+1 1 4) f(x) = 2 I- 3 < 1 f(1)= f(-2)= f(6)=

A: The given expression is:

Q: (b) (i) Show that d dx\x+1 x 1 (1 + x)²

A: According to bartleby guidelines we supposed to do the first one of multiple questions  kindly…

Q: Find the zeros of the following functions and determine their multiplicities: (a) (2 – 1)3; (b)…

A: