+Answer:
The derivative is 2x + 2.
Step-by-step explanation:
The definition of the derivative is the limit of
[ f(x + h)^2 - f(x)] / h when h ---> 0.
For f(x) = x^2 + 2x:
Derivative = the limit as h --> 0 of f(x)
= [ (x + h)^2 + 2(x + h) - (x^2 + 2x)] / h
= [x^2 + 2hx + h^2 + 2x + 2h - x^2 - 2x] / h
= (2hx + 2h + h^2) / h
= 2x + 2 + h
The h can be neglected
So it is 2x + 2.
We need to find the surface area and volume for each rectangular prism. Here are the formulas I'm going to plug each prism's measurements.
S.Area=2(lw+wh+lh)
Volume: lwh
Question 75:
Volume: 3×1×3=9 cm³
Surface Area= 2(3)+2(3)+2(9)=6+6+18=30 cm²
Question 76:
Volume: 6×2×5=60 ft.³
Surface Area: 2(12)+2(10)+2(30)=24+20+60=104 ft²
Question 77:
Volume: 4×2×6=48 m³
Surface Area: 2(8)+2(12)+2(24)=16+24+48=88 m²
Answer:
2
(
x
+
3
)
2
−
13
Step-by-step explanation:
Answer:
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Step-by-step explanation:
π / 3 is in radians.
Radian need to be converted into
degree ( ° ).
The value of in degree is 180°
π / 3 = 180 / 3 = 60°
60° > 30°
So,
( π / 3 ) > 30°