Is 4cos^3(x)-3cos(x) EVEN, ODD, NEITHER, BOTH EVEN & ODD?

Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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prob stat: A fair 6-sided dice, with sides numbered 1,1,2,2,3,55 is thrown.

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logic Idempotent law show x=xVx

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx

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2 ways: Find the derivative y=x^n logb(x)

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A bag contains 5 red balls & 3 green balls. A ball is selected at random &

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2nd/2 ways: [k-map] logic:Simplify the Boolean function F=A+A'B

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1st/2ways: 1+2+3+...+(n-1)+n+(n-1)+...+3+2+1 = n^2

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Sum/Difference of 2 EVEN function is EVEN

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integration bee 2014 UNSW 2nd way: tan(x)/(sin(x) cos(x)) dx

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2nd/2ways: Evaluate lim sin(5x)/sin(9x) as x tends 0

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Screen Recording 2024-05-11 at 8.57.14 PM

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Screen Recording 2024-05-10 at 7.55.27 PM

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Screen Recording 2024-05-19 at 9.45.17 PM

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Screen Recording 2024-05-19 at 11.13.23 PM

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Is 3x3 EVEN, ODD? Answer: ... depends ...

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