In the following exercises, estimate the volume of the solid under the surface z = f(x. y) and above the rectangular legion R by using a Riemann sum with m = n = 2 and the sample points to be the lower left corners of the subrectangles of the partition. 4. f ( x , y ) = cos x + cos y , R = [ 0 , π ] × [ 0 , π 2 ]
In the following exercises, estimate the volume of the solid under the surface z = f(x. y) and above the rectangular legion R by using a Riemann sum with m = n = 2 and the sample points to be the lower left corners of the subrectangles of the partition. 4. f ( x , y ) = cos x + cos y , R = [ 0 , π ] × [ 0 , π 2 ]
3. Let
f(z) =
sin (22) + cos (T2)
2(22+1)(z+1)
Compute f(z)dz over each of the contours/closed curves C1, C2, C3 and C4 shown
below.
Don't use any Al tool
Don't send the same
previous answer that
was Al generated
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10
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x
show ur answer
pe
n and paper then take
Send ur answer in pe
n and paper don't rep
uted ur self down
PLEASE SOLVE STEP BY STEP WITHOUT ARTIFICIAL INTELLIGENCE OR CHATGPT
SOLVE BY HAND STEP BY STEP
4.- A beer at an unknown temperature is introduced into a refrigerator that has a constant temperature of 1°C. After 20 minutes, the temperature of the beer is 10°C, and after 40 minutes, the temperature of the beer is 6°C.
a) Determine the temperature at which the beer was placed inside the refrigerator.b) How long will it take for the beer to reach 2°C?
PLEASE SOLVE STEP BY STEP WITHOUT ARTIFICIAL INTELLIGENCE OR CHATGPT
SOLVE BY HAND STEP BY STEP
5.- It is known that the population of a certain community increases at a rate proportional to the number of people at any given moment. If the population doubled in 5 years:
a) How long will it take to triple?b) How long will it take to quadruple?
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