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 :
I assume that it is only <span>(f∘g)(x). If not, let me know in the comments
16 + 15x - 65
15x - 49</span>
Answer:
3 : 2
Step-by-step explanation:
Note that the ratio of perimeters is equal to the ratio of the sides, thus
ratio of corresponding sides = 12 : 8 = 3 : 2
Thus the ratio of perimeters is 3 : 2
Answer: 8.1ft
Step-by-step explanation:
It may help to draw it out but for this question you would have to use pythagoras' theorem.
The formula for the shorter side is a²=c²-b²
The height of this triangle is 4ft (b) and the hypotenuse (the diagonal that stretches from the top to the bottom) is 9ft (c).
When we put the numbers in the formula you get a²=9²-4²
9²=81
4²=16
a²=81-16
a²=65
Then because we want to find a on it's own you would have to square root 65 which is 8.1 (to the nearest tenth)
Answer:To round 0.994 to the nearest tenth consider the hundredths’ value of 0.994, which is 9 and equal or more than 5. Therefore, the tenths value of 0.994 increases by 1 to 0.
0.994 rounded to the nearest tenth = 1.0
Step-by-step explanation:
