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Prove the following statement, using induction on n. if n ∈ N and x and y are greater than or equal to zero, then ((x + y)/2)n < (xn + yn)/2
In a study of 400 meals served at 75 campus cafeterias, 20 had less than 10 grams of fat but not less than 350 calories; 6 had less than 350 calories but not less than 10 grams of fat; 186 had over 350 calories and over 10 grams of fat.
find the taylors formula for estimation of cosine function.use tayors formula for fx cos x - x-x2 13x- x23nbsp-
a 6 ft vertical post casts a 10 in shadow at the same time a nearby cell phone tower casts a 115 ft shadow. How tall is the cellphone tower.
the national unemployment rate in a recent month was 4.9 percent. you think the rate may be different in your city so
the diagram is of two adjacent corrals sharing a middle fence, y, and each individual corral has length x [so the two together would be 2x for the entire length]
Timmy has a collection of jelly beans in a jar. If he groups them in 4's, there is one jelly bean left over at the end. If he groups them in 6's, there is again one left over. If he groups them in 9's, there is again one left over. Finally, Ti..
Seven Marching Bands will perform at a competition. The order of the performances is determined at random. What is the probability that the bands will perform in alphabetical order by school name?
a semicircular plate with a radius of 1 sticks straight down into fresh water with the diameter along the surface. Find the force of the water on side of the plate. The weight-density of water is 62.4 lb/ft^3.
the height of a trapezoid of constant area varies inversly as the sum of the lengths of the bases. If the height is 30 cm when the lengths of the two bases are 3 cm and 16 cm, what is the new height if the bases are 24 cm and 48 cm in length?
The initial contact person calls three other people, each of whome call three others and so on, until all the people in the band Committee have been contacted. What is the maximum number of people they need to make the calls.
A general form of Parseval's Theorem says that if two functions are expanded in a Fourier Series.
Find t-multipliers and DF from T-Table for the following conditions
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