(1) Find the condition number. (2) Find the forward error, the backward error, the relative (forward) error, the number of significant digits, and check the bound of condition number, for x = 0.01001, if a 3-digit computer is used. Which formula (algorithm) is unstable? (a) f(x) = (1 – cos x)/ sin x, (6) f(x) = 2 sin?(x/2)/ sin(x) (c) f(x) = tan 2

Q: Graph f(x) = sin x, g(x) = cos 2x, h(x) = ( f - g)(x) in the same rectangular coordinate system for…

A:

Q: A)[ I )-2 Va-I B)[ 1 g(x) =2/-x C)[ ] h(x) = 2x+1 II) D)I ] k(x) =--x E)[ I p(x) = 2- V3x F) [ I…

A: Here we have to match the given function and the corresponding graph

Q: Sketch a graph of the function f(x) 2 sin(2x). %3D -77/8-31/4-5n/8-/2 -3/8-7/4-T/8 t/4 3n/8- /25/8…

A: Given function is f(x)=-2sin(2x)We know that period of sin(x)=2πThe period of sin(2x) will be π and…

Q: Write a Pseudocode for a function that takes an integer n 2 1 and returns f(n) where f(n) = 3…

A: Solution: Input : n ≥ 1 Output : f(n) = 3.(f(n-1))2 + 2.f(n-2)  [Known information:      f(0) = f(1)…

Q: Let f(x)=2x-3,g(x)-5x, and h(x)=x2 what is the sinpliest fornm of h(x)*g(f(x))

A: Explanation of the solution is given below...

Q: (x- 1) (x– 2)(x+ 1) (x+ 2)(x- 3) (x+ 3) 2. Let f"(x) = and g'(x) = For what values of x are Az) and…

A:

Q: question 5

A: The lead term of this polynomial is -x^7. So, f(x) will behave as -x^7 does on the ends.

Q: Example 2: Using the False Position method, find an approximated root of the function: f(x) = x² –…

A: The equation in form f(x)=0 is called a transcendental equation. If the function is continuous on…

Q: 52 f(x) = 1 + 2[[x]

A:

Q: Find the optimum of f(x) = 2.2x-1.7x² + x³ -0.25x Perform: (Round-off all computed values to 4…

A: We know the golden ratio is 0.618.  We need to find the value of d where d = 0.618b-a For our first…

Q: Given Ā =, B =,č = (a) Compute Ā· (B + T) (b) Compute A · (B × C)

A:

Q: Assume that h[n]=(-1)"g[n]. What is the relation between H(2) and G(z) o HZ) = (- 1)" G(z) H(2)…

A:

Q: Evaluate: √x(x - 5)dx Solution: √ √x(x - 5) dx = f x²(x - 5) dx by law of exponents/ = f (x² - 5x)…

A: Given problem:- ∫√x(x-5) dx

Q: QUESTION 4 Evaluate the expression. (f. g)(-2) when f(x) = -2x + 3 and g(x) = -8x² + 5x + 6. O-15…

A:

Q: Using Fixed Point Iteration Method manually, Given: f(x) = x^3 + 3x^2 - 1 and its new function as…

A:

Q: Sf(x – 1) + 2x if r>0 if r<0 f(x) = Consider f(0) = 3, find f(7) and f(9)

A: f(x)=f(x-1)+2x if x&gt;00                    if x≤0Also given thatf(0)=3So, By…

Q: Find the maximum of the function: f(x) = 4 + 7x + 2x^2 − x^3 using Golden Section Search with…

A: The function given is as follows: fx=4+7x+2x2-x3 We are asked to find the maximum of the given…

Q: Consider the function f(x) = (4 - 5x)7. Find the second derivative f"

A:

Q: Use the function h(x) = = x². 7x to answer the questions below. (a) Is h(x) a one-to-one function?…

A:

Q: The Function f(x) = sin( 2")- sin( 2 *) is %3D Select one: O An even Function O An odd Function O…

A: