Please help please show the work as well. i know what the answer is, just not sure how to get there. 25 pts.

D) 1/e but you probably know already

Step-by-step explanation:

The Fundamental Theorem of Calculus part 1:

A similar argument where a= -infinity and b=1 gives you d/dx f(x) = g(x) for all x in [-infinity, 1]. Therefore it holds for all x in [-infinity, infinity]

Also, d/dx (x+1) = 1

Also also, f(1)=0 because the bounds become equal

Thus the limit is an indeterminate form of 0/0; this suggests using L'Hopital's Rule

By definition of continuity and the fact that the above g(x) converges at 1, we have

*there's a proof on proofwiki.org that's too long to fit here, but you probably don't need it

**it's 3am, maybe I'll prove it in the morning if I have time lol. Anyway if want to do it yourself, you can use the limit definition of congruence, drag the limit symbol to the exponent -x^2, etc. Or just apply the theorem without checking for continuity. Tell me if you need more detail (or less rambling)

step-by-step explanation: examine the two-step equation.

−  

7

4

+  

x

4

= 2

which property of operations allows you to add the same constant term to both sides?

multiplication property of equality

division property of equality

addition property of equality

subtraction property of equality

it's d.

step-by-step explanation:

because: -1(4x + 1y) +2 (1x-3y) distribute each number into the parenthesis.

then you would get: -4x - 1y + 2x -6y combine like terms

and get: 2x -7y

hope my answer has you if not then i'm sorry.