Hello there!
the answer is x= 2g/b-2a to the power 2 c
Given:
r = radius = 4
h = height = 12
dr = error in radius = 0.2
What we want to find
dV = error in volume
Use the derivative to find the differential dV
V = pi*r^2*h
dV/dr = d/dr[ pi*r^2*h ]
dV/dr = 2pi*r*h
dV = 2pi*r*h*dr
dV = 2pi*4*12*0.2
dV = 19.2pi
So if the error in measuring the radius is +-0.2 inches, then the error in the cylinder volume is +-19.2pi cubic inches (we either measure the volume to be 19.2pi cubic inches too big, or 19.2pi cubic inches too small)
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Final Answer: Plus or minus 19.2pi cubic inches
Note: your teacher may want you to drop the "plus or minus" part
You need to divide this problem into two parts
first part is when it was accelerating.. that time use the equation of motion and calculate what is the total angle covered and hence you get the number of revolutions
then find the time of acceleration..so you ll understand for how much did you do the above calculation
for the rest of the time, the speed is constant (final angular speed).. so now you just use
w= theta/ time.. and get theta and again calculate the number of revolutions!
Answer:
= 20n + 12
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = 52 - 32 = 72 - 52 = 92 - 72 = 20
This indicates the sequence is arithmetic with explicit formula
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 32 and d = 20, thus
= 32 + 20(n - 1) = 32 + 20n - 20 = 20n + 12
Answer:
Step-by-step explanation:
given,
y′′ + 4 y = 4 x
D² y + 4 y = 4 x
(D²+4) y = 4 x
now, writing Auxiliary equation
m² + 4 = 0
m² = -4
m = ± 2 i
now, complimentary function
a = 0 , b = 2
particular integral (y_p)
y_p = a x
y'_p = a
y"_p = 0
now,
y′′+ 4 y = 4 x
0+ 4 (a x )= 4 x
4 a x = 4 x
a = 1
now,
y_p = x
now, general equation
