Let Pand Q be two predicates. Prove that 3x [ P(x) V Q(x) ] 3x P(x) V 3x Q(x)

Q: evaluate the Pirst and second deriugive of f) = 327+5csin 3x• %3D at x= 11 , 2.5 &3.7

A: To evaluate the first and second derivatives of f(x)

Q: a a +1 2² (² + ¹ + x² = 1 [(¹-x)² + (1 + x)² ] F1 2 2 2

A:

Q: d) Prove (AV (Vx) BC = (Vx)B(AV C), as long as x not free in A. (Hint: Translate first to Standard…

A: Given,  Prove (AV (Vx)BC = (Vx)b(A V C), as long as x not free in A. (Hint: Translate first…

Q: Let →u=⟨6,−4,−6⟩ and →v=⟨−5,−3,−6⟩. Compute the following:

A:

Q: Let Q(x, y) be the statement "x + y = x – y." If the domain for both variables consists of all…

A: Given that Q(x, y) be the statement                         x + y = x -y .

Q: Suppose that x and y are real numbers such that y is 6 greater than x. What is the smallest possible…

A:

Q: Let f(x) = x³ – 6x ln x + 6x + 1000. Find all x-coordinates of the inflection points. O x = -1 and x…

A:

Q: Verify that v2+ V5 is algebraic over Q.

A: Algebraic number :- An algebraic number is a number that is a root of a non-zero polynomial in one…

Q: Does the following set of polynomials {t? + 1, t2 + t,t + 1} span P2?

A:

Q: Let A = {x € R : x < a} and B={x €R: x < b}, where a and b are real numbers. Show that sup(A+ B) =…

A:

Q: find all real such that 12x-11>x

A: The inequality can be calculated using absolute values. The absolute value function takes a positive…

Q: Evaluate the following commutators [Â, B] = ÂB – BÂ. Hint: use an arbitrary function that cancels at…

A: a x,PxPx=-ih∂∂xx,Pxφ=x,-ih∂∂xφ=-ihx∂φ∂x+ih∂∂xxφ=-ihx∂φ∂x+ih∂φ∂x+ihφ=ihφ∴x,Px=ih

Q: If x=y+qp and f=xy+qp² Express x in terms of q,p and f

A:

Q: 上耳 7. 2 2 J ancd Re, .3 4 . 3 find p+Rt[tP+P}+R]+ [P+ (@+R}]reR

A: Given P=2316, Q=1234 and R=1231 1) Q+R=1234+1231         =1+12+23+34+1         =1465 2)…

Q: Find all (p, q, r) such that ((p + -4) evaluates to 1.

A:

Q: The domain of the function /1- a² – y² ln(a² + y2 – 1) is empty. True False

A: We have to check

Q: Given f(x) = 3– 2x – x, Determine each of the following. C. a.) f(-6) b.) fG c.) f(r*) d.) f(x-1)…

A: Topic = Functions

Q: Find a pair of values (x, y) that serve as a counter-example for the statement that [ry] : |x||y for…

A: The ceiling function gives smallest integer that is greater than the number, that is, x is the…

Q: Find positive integers that satisfy x + y + z = 6 x + 5y + 8z = 35 x = i ! y = i

A:

Q: Either prove that the wff is a valid argument or give an interpretation in which it is false. [(Vx)…

A: Given that, For all x P(x) implies that for all x Q(x).

Q: Find the value of: 2 100 ;] [*] + x + 100 ] + [~ + + ++ 99 100

A:

Q: xta 4. ) dx メ+b sin t cas

A:

Q: ts no real number x such that x6 +x* – 2x² + 1 = 0

A: solution

Q: Let y = = 5 + 4 ՂԱ - and ux³ - 2x. =

A:

Q: it is a less than 1 not a bigger than one

A: Here a is less than 1.

Q: Prove that V/3 (1-x) (1+2x) 33

A: To Determine :-  ∫01 x13 1- x 231 + 2x  dx  = 2π33

Q: Determine whether the statement is true or false. Prove the statement if it is true, and give a…

A: See solution below

Q: Let w(2) = In(2) (principal argument). Let X be the real axis (straight line). Then O w(X) is two…

A: Let wz=lnz (principal argument). Let X be the real axis(straight line).

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.