Oil production An oil refinery produces oil at a variable rate given by Q ′ ( t ) = { 800 if 0 ≤ t < 30 2600 − 60 t if 30 ≤ t < 40 200 if t ≥ 40 , where t is measured in days and Q is measured in barrels. a. How many barrels are produced in the first 35 days? b. How many barrels are produced in the first 50 days? c. Without using integration , determine the number of barrels produced over the interval [60, 80].
Oil production An oil refinery produces oil at a variable rate given by Q ′ ( t ) = { 800 if 0 ≤ t < 30 2600 − 60 t if 30 ≤ t < 40 200 if t ≥ 40 , where t is measured in days and Q is measured in barrels. a. How many barrels are produced in the first 35 days? b. How many barrels are produced in the first 50 days? c. Without using integration , determine the number of barrels produced over the interval [60, 80].
Solution Summary: The author explains that the barrels are produced in the first 35 days is 27250.
Oil production An oil refinery produces oil at a variable rate given by
Q
′
(
t
)
=
{
800
if
0
≤
t
<
30
2600
−
60
t
if
30
≤
t
<
40
200
if
t
≥
40
,
where t is measured in days and Q is measured in barrels.
a. How many barrels are produced in the first 35 days?
b. How many barrels are produced in the first 50 days?
c. Without using integration, determine the number of barrels produced over the interval [60, 80].
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
For the system consisting of the lines:
and
71 = (-8,5,6) + t(4, −5,3)
72 = (0, −24,9) + u(−1, 6, −3)
a) State whether the two lines are parallel or not and justify your answer.
b) Find the point of intersection, if possible, and classify the system based on the
number of points of intersection and how the lines are related. Show a complete
solution process.
3. [-/2 Points]
DETAILS
MY NOTES
SESSCALCET2 7.4.013.
Find the exact length of the curve.
y = In(sec x), 0 ≤ x ≤ π/4
H.w
WI
M
Wz
A
Sindax
Sind dy max
Утах
at 0.75m from A
w=6KN/M L=2
W2=9 KN/m
P= 10 KN
B
Make the solution handwritten and not
artificial intelligence because I will
give a bad rating if you solve it with
artificial intelligence
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