log(x+3) z-1-1-cosh(cos-12) 4. lim

Q: log(1 + (2y/x) + (y^2/x^2)) + 2logx, simplify and state restrictions

A: The expressionlog(1+2yx+y2x2)+2logxThe propertieslog(mn)=logm+lognnlogm=logmn

Q: 2 / x + x ^ 3) ^ 16 any constant term?

A: We use binomial expansion.

Q: lim (x' - 2x² +5)=. – 2x² +5)= x→-2

A: Please refer to the image below. 9

Q: Evaluate I = = / x*(x² + 4)³/ª dz

A:

Q: lim x-0 (cos20x) 7/20x^2

A:

Q: Find the zero(s) (if any) of the function - y=x^2-1x-12 The zero(s) is/are x=

A: To find the zeroes of the given function

Q: Find E(X)

A:

Q: f(x)=ln(1+x/1-x) is function even or odd

A: We have to find the given function is either even or odd: fx=ln1+x1-x We know that for even function…

Q: 6/x-1/x/x-1

A: Known fact:

Q: If y=(X+3)(X-5)^7 then find y`

A:

Q: 1 +Vx+1. (1–log (9-x)) Find the domain of (a) (-,9) (b) [-1,9) c) [-19] (d) (-1,9)

A: Domain of the given function is given by

Q: Differentiate and simplify. f(x)=Je* +In (x² +4)

A:

Q: Solve for the convolution of g given that it is with itself (g*g) for g(x) = e-πt^2

A:

Q: solve for x if CDy=4(x-E)

A:

Q: lim 3X=12x→4

A: We can show this by substitution  We plug x=4

Q: Show E(XY)

A:

Q: lim (1 – 3x² )= x-2 а. -13 b. 11 С. 13 d. -11

A: By the linearity of limit of a function we can solve the given problem

Q: dx z/L1(zx — 6) вх І

A: The given integration is: ∫x149-x2172dx

Q: Q5) Find (x) a) log,(27) + log,(x) = 3.5 b) 2log,(x) – log,(x + 6) = 1 c) log,(x) + log.(x+ 5) = 2…

A: Given: logx(27) + log9(x) =3.5 2log3(x) - log3(x+6)=1 log6(x) +log6(x+5)=2

Q: If g(x) : 8 + cosh(9x) find g'(x) 8+ cosh(0)

A: Answer and explanation is given below

Q: 2x+3 Find the domain of the function H(x)=- x' - 4x %3D

A: