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1. A heap of rubbish in the shape of a cube is being compacted into a smaller cube. Given that the volume decreases at a rate of 5 cubic meters per minute, find the rate of change of an edge, in meters per minute, of the cube when the volume is exactly 64 cubic meters.
2. A rectangle is inscribed in a circle of radius 4 inches. If the length of the rectangle is decreasing at the rate of 3 inches per second, how fast is the area changing at the instant when the length is 5 inches?
You construct a box with a volume of 146 cubic inches from a piece of metal by cutting 4 inch squares from the corners and folding up the sides. Find the width of the original piece of metal.
for a class assignment andrew is trying to find a general equation for the nth derivative of fx 2xex and he comes up
The producity of a worker at a scrapbook sticker company increased as an Arithmetic Sequence (Progression) over a period of 7 days. That is, on day n she produced an = a1 + (n - 1)d stickers. If a7 = 160 and d = 10 what is the total number of stick..
Q is epi in the category of rings. (ii) Show that kernels are monic and are unique up to isomorphism. (iii) In Groups, show that monics are injections and kernels are monics with normal image. What are epis and cokernels?
freddy is taking basic stats class. the class starts at 6 pm and he needs to get there on time to get a punctuality
Hits on a personal web site occur quite infrequently. They occur randomly and independently with an average of five per week.
If 5 J of work are needed to stretch a spring from 9 cm to 10 cm and 7 J are needed to stretch it from 10 cm to 11 cm, what is the natural length L of the spring?
a childs wading pool has a diameter of 200cm and is 30cm deep. how many liters of water can the pool hold?
two fire towers are 30 km apart towera being due west of tower b. a fire is spottedfrom the towers and the bearings
marie claims she can predict the sex of pregnant womens babies. she sees 1000 women a year and she always predicts a
For the right triangle, find the side length x. Round answer to nearest tenth.
Calculate the area of a circle with each measurement. Radius 2.5km
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