10 4. Evaluate [ f(x)dx of the following tabular data using Romberg integration -2 + H X f (x) -2 35 + 0 5 2 -10 4 + + 2 6 5 8 3 918 10 20

Q: d) f(x) = x* %3D

A:

Q: 21) Determine f(x) if f(x) = 3x – 5. %3D

A:

Q: Evaluate the composite function given that f(x) = 3x +5 and h(x) = Vx+3. (fo h)(6) (fo h)(6) =…

A:

Q: Let f(x) =x²-x -5 and gx)= -8x+4. Find g(3) and f(g(3)). %3D 9(3) = f(g(3)) = %3D %3D

A:

Q: x+3 4) Evaluate f dx x+1

A:

Q: Evaluate the following functions. 1. Iff(x) = x? - 2x +7, find a) f(0), b) f(2y+1). 2. If F(y) = vty…

A: Given:1. fx=x2-2x+72. Fy=yy-32

Q: Find the derivative of the function. Ax) = 6x (9 - 8x)* O (- 12x) (9 - 8x)' (6x- 9) O (-181 )(9- 82)…

A:

Q: 3. Find f(x) and f (x) if f(x) = lnx + 2cos³ x. %3D

A: First use sum/difference rule of differentiation f±g=f'±g' then use the following formulae: dln…

Q: 1. Let f(x) = x² + 1. %3D (a) Compute f(0), f(-1), f(1/2), and f(/2). (b) For what values of x is it…

A:

Q: a) f(x) = {(3, –4), (2, 1), (–9,–3)} |

A: We have to find domain and range

Q: Use the table below to fill in the missing values. f(x) 4 1 8 3 1 4 6. 5 2 6. 7 3 9 f(8) = if f(x) =…

A: solution;-from given table,*f(8)⇒x=8,f(x)⇒f(8)=7∴from table∴f(8)=7*f(x)=6 then x=?from tableof…

Q: 3. Sx³dz

A: Let I=∫x3dx1+x2.

Q: F(x) F(2) (5) F(7) - L² (t³ + 6 t F(x)= (t³ + 6t-5) dt

A:

Q: Integrate the following function f(x)= 6x- + 2x – 5 dr

A:

Q: Calculate R3 and L3

A:

Q: 2. If f(x) = , and g(x) = 4, find the following I-6' function. Simplify your answer. f(9)a)) = %3D…

A: To find the function f(g(x)).

Q: Find the following. Let f(x)= x+1, g(x)= 2x, and h(x)=x-2. a. (h o h) (x) b. (f o g) (x) c. (g o h)…

A:

Q: Compute f 3 2 x-5x+6 dx.

A:

Q: dx 1. (x-3)(x-2)

A: Given I=∫1x-3x-2dx To evaluate the integral I:

Q: find the absoute extrema for the function 5 (x )=9rX - 3x"on the given in tervalOL x < H

A:

Q: Compute f 2x-1 (x-5) (3x+1)(4x-7) -dx.

A:

Q: The domain of function x) = In(2– x) is %3D

A: