8. Microtutoriāt If W denotes the weight in pounds of an individual, and t denotes the time in months, then dW[dt is the rate of weight gain or loss in lbs/mo. The current speed record for weight loss is a drop in weight from 487 pounds to 130 pounds over an eight-month period. Show that the rate of weight loss exceeded 44 lbs/mo at some time during the eight-month period. 9. Let g(x) = (2x² – 8x) %3D (a) = Find all critical points of g over the x-interval [0, 8]. (b) over [0, 8]. Find absolute maximum and absolute minimum of g When treating cancer, it is an advantage to know the rate of 10. growth of the cancer tumor. A mathematical model for cancer growth shows that when the diameter of a particular spherical tumor is 16 mm, it is growing at a rate of 0.4 mm a day. How fast is the volume of the tumor changing at that time? 3-2X f(x) = BrAse flx)-3x-x² FIXtn)- 3lx-h) - (X-n)* FLX) dx--X- 3X -x*) z14-X)-(4-X)E um - im -70 3X-3n-1X-)2 2/3
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
#10
![8. Microtutoriāt
If W denotes the weight in pounds of an
individual, and t denotes the time in months, then dW[dt is the rate of
weight gain or loss in lbs/mo. The current speed record for weight loss
is a drop in weight from 487 pounds to 130 pounds over an eight-month
period. Show that the rate of weight loss exceeded 44 lbs/mo at some
time during the eight-month period.
9. Let
g(x) = (2x² – 8x)
%3D
(a) =
Find all critical points of g over the x-interval [0, 8].
(b)
over [0, 8].
Find absolute maximum and absolute minimum of g
When treating cancer, it is an advantage to know the rate of
10.
growth of the cancer tumor. A mathematical model for cancer growth
shows that when the diameter of a particular spherical tumor is 16 mm,
it is growing at a rate of 0.4 mm a day. How fast is the volume of the
tumor changing at that time?
3-2X
f(x) = BrAse
flx)-3x-x²
FIXtn)- 3lx-h) - (X-n)*
FLX)
dx--X- 3X -x*)
z14-X)-(4-X)E
um -
im
-70
3X-3n-1X-)2
2/3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F098adb84-6010-4d99-aee1-797d3707e6bd%2F0c986d2a-d29e-4636-83ec-f57f4be62ff6%2Fzia1tu8.jpeg&w=3840&q=75)
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