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Find the sum og series 1+(1+3)+(1+3+5)+.......+(1+3+...+15+17)=
Functional and variations.Block III, Consider the functional S[y]=?_1^2 v(x^2+y'')dx , y(1)=0,y(2)=B Show that if ?=S[y+eg]-S[y], then to second order in e, ?=1/2 e?_1^2¦?g^'
Find the least number that is divisible by all numbers between 1 and 10 (both inclusive). Ans: The required number is the LCM of 1,2,3,4,5,6,7,8,9,10 ∴ LCM = 2 × 2
Your factory has a machine for drilling holes in a sheet metal part. The mean diameter of the hole is 10mm with a standard deviation of 0.1mm. What is the probability that any
Reason for why limits not existing : In the previous section we saw two limits that did not. We saw that did not exist since the function did not settle down to a sing
The product of -7ab and +3ab is (-7 x 3) a 2 b 2 = -21a 2 b 2 . In other words, a term with minus sign when multiplied with a term having a positive sign, gives a product having
Richland Health has three hospitals in the greater Tampa, Florida area. Demand for patient services varies considerably during the fall and winter months due to the temporary influ
Substitution Rule ∫ f ( g ( x )) g′ ( x ) dx = ∫ f (u ) du, where, u = g ( x ) we can't do the following integrals through general rule. This looks considerably
PROVE THAT 2 IS IRRATIONAL
find area of rectangles and triangles put together
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