6) f(x) =xcos x 2n(-1)" • sin(nx) (n-1)(n+1)

Q: 10. Given: f(x) 3= d) tan(A – B) and g(x)=x² +8 x- 5 Find: a) (f-g)(x) (g •(8))(x) i) (g-f)(3) b)…

A: Given that f(x)=1x-5 and g(x)=x2+8   (a) f-gx f-gx=fx-gx               =1x-5-x2+8…

Q: i) Derive the characteristic equation of matrix [A] in equation (2). Show al working when deriving…

A: Given: i) To evaluate the characteristic equation of matrix [A]. ii) To find that it is possible to…

Q: g(æ) + x sin(g(x)) = x? – 25 and g(5) = 0, then g (5):

A:

Q: sin(α+β)=()()+(-4/9)(-3/8)

A:

Q: Solve sin (x) + sin(x) = 0 on [0, 27]

A:

Q: 10 a b с d f(x) =tan(2x-n) g(x) =tan(x-n) h(x)= tan x-. ²) j(x)=tan(\/2- X

A:

Q: 2 cos(5x) – 5 x² – 2 lim sin(3x) – x² – 3x - - (Write your answer in the given box)

A: We will use L'Hopital rule

Q: (a) (i) Use the substitution sin(u) = x + 3 to show that dx 12x + 7 -1 (x+3) V-2x² – 12x+7+c. sin -…

A: As per company guideline we are supposed to answer only one question with maximum 3 sub parts at a…

Q: 1 os( 1 (sin(7z))* =| x)+ cos( x)

A:

Q: Find the function f(a) such that f'(x) = 5 sinh(x) – 2 and f(0) = 4. a) O f(x) =-5 cosh(x) – 2 z - 1…

A: Given that f'(x)=5sinh(x)-2 and f(0)=4 To find the function f(x)