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let R be a (noncommutative) ring. Given that a,b and a+b ? R are all units, prove that a^(-1)+b^(-1) is a unit
how it solved
A photographer decides to decrease a picture she took in sequence to fit it within a certain frame. She requires the picture to be one-third of the area of the original. If the ori
Verify Liouville''s formula for y^ prime prime prime -y^ prime prime - y'' + y = 0 in [0, 1]
y 2 = t 2 - 3 is the actual implicit solution to y'= t/y, y(2) = -1. At such point I will ask that you trust me that it is actually a solution to the differential equation. You w
what is an pie chart
The arm of a ceiling fan measures a length of 25 in. What is the area covered through the motion of the fan blades while turned on? (π = 3.14) The ceiling fan follows a circula
A sample of students had a mean age of 35 years along with a standard deviation of 5 years. A student was randomly picked from a group of 200 students. Determine the probability
A poll tilts towards the sun at an 8 o angle from the vertical at it casta 22-ft shadow. The angle of elevation from the shadow to the top of the pole is 43 o . How tall is th
If the hight of pipe is 18 inches, what is the volume of the shaded region in terms of π? a. 31.5π in 3 b. 126π in 3 c. 157.5 in 3 d. 58.5 in 3
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