The answer is True.
On differentiating using product rule,
![\mathsf {\frac{d}{dx}[xe^{x}] = x(e^{x})+e^{x}(1)}](https://tex.z-dn.net/?f=%5Cmathsf%20%7B%5Cfrac%7Bd%7D%7Bdx%7D%5Bxe%5E%7Bx%7D%5D%20%3D%20x%28e%5E%7Bx%7D%29%2Be%5E%7Bx%7D%281%29%7D)
![\mathsf {\frac{d}{dx}[xe^{x}] = e^{x}(x + 1)}](https://tex.z-dn.net/?f=%5Cmathsf%20%7B%5Cfrac%7Bd%7D%7Bdx%7D%5Bxe%5E%7Bx%7D%5D%20%3D%20e%5E%7Bx%7D%28x%20%2B%201%29%7D)
The general form of product rule :

The perimeter of the square is:
ft
Step-by-step explanation:
The picture is attached with the answer.
the diagonal of a square divides it into two right angled-triangles.
We can use one of the triangle to find the length of side as the diagonal will be the hypotenuse of the triangle
Let a be the side of the square, then according to Pythagoras theorem

Dividing both sides by 2

Taking Square root on both sides

Now,

Hence,
The perimeter of the square is:
ft
Keywords: Perimeter, Pythagoras Theorem
Learn more about Square at:
#learnwithBrainly
Answer:
t= 0.8 hr or 48 min.
Step-by-step explanation:
Speed of Enrique= 6 mph
Half and hour late it means that after 1/2 hr.
Speed of Enrique brother = 8 mph
Lets take Enrique cover x distance in time t hr .
So
x = 6 t ------------ 1
Then his brother will cover x/2 distance in time (t-1/2) hr.
So
x/2 = 8 (t-1/2) -----------------2
Now from equation 1 and 2
6 t = 16 (t-1/2)
6 t = 16 t - 8
So t= 0.8 hr or 48 min.
It means that his brother will take 0.8 hr to cover half of distance cover by Enrique .
Answer:
x = 48.
Step-by-step explanation:
If AE is 921, then EC is equivalent to that. First, you subtract 9 from 921, then divide by nineteen to get your answer: x = 48.