arithmetic sequences and series, Mathematics

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Polar coordinates, THE CURVE C HAS POLAR EQUATION R=[X^1/2][E^X^2/PI]. WHER...

THE CURVE C HAS POLAR EQUATION R=[X^1/2][E^X^2/PI]. WHERE X IS GREATER THAN OR EQUAL TO 0 BUT LESS THAN OR EQUAL TO PI. THE AREA OF THE FINITE REGION BOUNDED BY C AND THE LINE X EQ

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Maximize P=3x+2y Subject to x+y =6 x =3 x =0,y =0

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"Prove by contradiction that no root of the equation x^18 -2x^13 + x^5 -3x^3 + x - 2 = 0 is an integer divisible by 3" Any help would be very much appreciated!

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Determine the equation of the tangent line to r = 3 + 8 sinθ at θ = Π/6. Solution We'll first need the subsequent derivative. dr/dθ = 8 cosθ The formula for the deriv

.., the circumference of a circle C of radius r is given by C=2pR.taking p ...

the circumference of a circle C of radius r is given by C=2pR.taking p to be 22/7 a)find the circumference when the radius is 28 cm b)find the radius when the circumference is 484

Fermat''s little theorem, 1. How many closed necklaces of length 7 can be m...

1. How many closed necklaces of length 7 can be made with 3 colors? (notice that 7 is a prime) 2. How many closed necklaces of length 10 can be made with 3 colors (this is di erent

Find intervals while function is increasing or decreasing, Find out all int...

Find out all intervals where the given function is increasing or decreasing. f ( x ) = - x 5 + 5/2 x 4 + 40/3 x 3 + 5 Solution To find out if the function is increasi

Determine the probability of given question, Q. Assume a birthday is equall...

Q. Assume a birthday is equally likely to occur in each of the 365 days. In a group of 30 people, what is the probability that no two have birthdays on the same day? Solution:

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