Answer:
-cos(x)
Step-by-step explanation:
y¹ = cos(x)
y² = -sin(x)
y³ = -cos(x)
y⁴ = sin(x)
Every 4th derivative is sin(x)
123 = 4(30) + 3
y¹²⁰ = sin(x)
y¹²¹ = cos(x)
y¹²² = -sin(x)
y¹²³ = -cos(x)
Answer:
Step-by-step explanation:
I attached a graph.
Hope that helps!
For this, we need to know the length of the base at the time of interest. It will be
... A = (1/2)bh
... b = (2A)/h = 2(81 cm²)/(10.5 cm) = 108/7 cm
Differentiate the formula for area and plug in the given numbers.
... A = (1/2)bh
... A' = (1/2)(b'h +bh')
... 3.5 cm²/min = (1/2)(b'·(10.5 cm) + (108/7 cm)·(2.5 cm/min))
... 7 cm²/min = 10.5b' cm + 38 4/7 cm²/min . . . . simplify a bit
... -31 3/7 cm²/min = 10.5b' cm . . . . . . . . . . . . . . . subtract 38 4/7 cm²/min
... (-220/7 cm²/min)/(10.5 cm) = b' ≈ -3.0068 cm/min
The base is changing at about -3 cm/min.
Answer:
f(8) = 6
Step-by-step explanation:
Just plug in x=8
f(x) = 2(x - 5)
f(8) = 2(8 - 5)
f(8) = 2(3)
f(8) = 6