Answer:
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Step-by-step explanation:
Step-by-step explanation:
1.
(chain rule)
2 ![f(x) = x^5\sin{x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E5%5Csin%7Bx%7D)
![\Rightarrow f'(x) = 5x^4\sin{x} + x^5\cos{x}](https://tex.z-dn.net/?f=%5CRightarrow%20f%27%28x%29%20%3D%205x%5E4%5Csin%7Bx%7D%20%2B%20x%5E5%5Ccos%7Bx%7D)
Answer:
3200
Step-by-step explanation:
P= L+W
P= Perimeter, L= Length and W=Width
Length + Width = Perimeter
So, then P(22) - W(5) = L(17)
Hope that helps.
The missing side of the triangles are 5, 16.92, 7 and 5 respectively.
Step-by-step explanation:
- Step 1: Use the Pythagoras Theorem to find the missing sides.
a² + b² = c²
In the first triangle, a = 3, b = 4.
c² = 3² + 4² = 9 + 16 = 25
⇒ c = 5
∴ Missing side is 5
In the second triangle, a = 15, b = 8
c² = 15² + 8² = 225 + 64 = 289
⇒ c = 16.92
Missing side is 16.92
In the third triangle, b = 24, c = 25
a² = c² - b²
a² = 25² - 24² = 625 - 576 = 49
⇒ a = 7
Missing side is 7
In the fourth triangle, a = 12, c = 13
b² = c² - a²
b² = 13² - 12² = 169 - 144 = 25
⇒ b = 5
Missing side is 5