How does (x-y+3)(x-y+1) = e^2x go to y=(x^2+4x+3-e^2x)/2(x+1) ??

Q: (a³b^5) x (a²b³) =

A: We know that,pq×pr=p(q+r) So,a3×a2=a(3+2)          =a5 b5×b3=b(5+3)          =b8 So, to find (a³b^5)…

Q: What is the inverse of f(x) =6x^3+8 ?

A: Given:

Q: If I have 0=24x-5.19x^2, then I simplify it to 0=x(24-5.19x). How do I proceed to find x from here?

A: The given function is Here, either

Q: g(x) = 3x^2-2x h(x) = 3x + 3 Find (4g-2h)(1)

A: We have to find 4g-2h1 when g(x)=3x2-2xh(x)=3x+3 Here, gx=3x2-2x4gx=43x2-2x=12x2-8x and,…

Q: P(X)=x^(3)-4x^(2)-8,P(2)

A: given that  p(x) = x3-4x2-8 then  P(2)=?

Q: f(x)=x^3-7x^2-x+7 How do I multiply the factors to put the function into polynomial form?

A: We have to factor in the given polynomial.…

Q: 4sin^(2)(x)-3=0

A:

Q: (10x-19) (3r + 2) (5x-3)

A: We will use the exterior angle property of a triangle that states that an exterior angle is equal to…

Q: ((3x^-1 -3y^-1)/(y^-2 -x^-2))

A:

Q: sec x)^2 - 1

A:

Q: integrate (2x+1)/(x^3-x^2+x) with respect to x the same expression written differently for clarity:…

A:

Q: Explain what happens to the base function, from #1 and #2 and why?  a(x) = x2 b(x)= -x^2

A: The objective of the question is to understand the transformation of the base function a(x) = x^2…

Q: (x^4+7x^3+10x^2-x-2)/(x+2) How to solve using synthetic divison?

A: Synthetic division

Q: (2x + 4) sec2(x2 + 4x)

A: ∫(2x+4)sec2(x2+4x)dx Formula ∫sec2x dx=tan(x)+C

Q: Given f(x) = 4x^2-3 and g(x) = 6 - 1/2x^2a. (f of g)(4)b. (g of f)(2)c. (f of f)(1)d. (g of g)(0)

A: Composite function:A composite function is a function that depends on another function. This…

Q: How does e2ln|x| become elnx^2 ?

A:

Q: why X"/X=-lamba and T"/(a^2)*T=-lamba.

A: Consider the given information: X"/X=T"/(a^2)T =-λ

Q: F(x)=4x^2+16x+9 in simplest radical form when f(x)=0

A: To find the simplest radical form