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Without using truth table show that ~...

Without using truth table show that
` ~(p vvq)vv(~p^^q)-=~p`

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To prove that \( \neg (p \lor q) \lor (\neg p \land q) = \neg p \) without using a truth table, we will manipulate the left-hand side (LHS) using logical identities and laws. ### Step-by-Step Solution: 1. **Start with the LHS**: \[ \neg (p \lor q) \lor (\neg p \land q) \] ...
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GURUKUL PUBLICATION - MAHARASHTRA PREVIOUS YEAR PAPERS- MARCH 2016-SECTION II
  1. Without using truth table show that ~(p vvq)vv(~p^^q)-=~p

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  2. If the function f(x)={{:(k +x, "for " x lt1),(4x+3, "for " x ge1):} ...

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  3. The equation of tangent to the curve y=x^(2)+4x+1 at (-1, -2) is

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  4. Given that X ~ B( n=10, p) .If E (x) = 8, find the value of p .

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  5. If y=x^(x), "find" (dy)/(dx).

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  6. The displacement s of a moving particle at a time t is given by s=5+20...

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  7. Find the area bounded by the curve y ^ 2 = 4ax, X - axis and...

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  8. The probability distribution of a discrate random variable X is : {...

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  9. Evaluate: int (sinx)/(sqrt(36-cos ^(2)x))dx

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  10. If y =f(u) is differentiable function of u, and u=g(x) is a differenti...

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  11. The probability that a person who undergoes kidney operation will reco...

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  12. Evaluate : int(0)^(pi)(x)/(a^(2)cos^(2)x+b^(*2)sin^(2)x)dx

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  13. Discuss the conjinuity of the functions at the points shown against t...

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  14. Prove that : intsqrt(a^(2)-x^(2))dx=x/2sqrt(a^(2)-x^(2))+(a^(2))/(2)...

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  15. A body is heated to 110^(@)C and placed in air at 10^(@)C. After 1 ho...

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  16. Prove that : int(0)^(2a) f(x)dx=int(0)^(a) f(x)dx+int(0)^(a) f(x)dx+in...

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  17. int(1+logx)/(x(2x+log x)(3+logx))dx (March '16)

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  18. cos^(-1)(2xsqrt(1-x^(2)))

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  19. Solve the differential equation cos (x+y) dy=dx. Hence find the partic...

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  20. A wire of length l is cut into two parts. One part is bent into a circ...

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  21. The following is the p.d.g. (Probability Density Function) of a contin...

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