(1).p^((Vq)^-p) → q); (2). ¬(p →(pVg))^r.

Q: F (x)-(33y+いny2 (トメ) +3)2 EChzthsosx +x) is that -> how メノ Con Servative and mine Potential…

A:

Q: Exercises(4) 4.1 Select True or False for the following arguments : 1. (PA(p4))H9 2. (Pq)nq)P 3.…

A: The objective is to state whether the following statements are true or false. 1. p∧p→q↦q2.…

Q: Q2/Let X-N(4,9). Find (a) P(1 2). (c) P(|X-21 >5)

A:

Q: 3) yo'ty"-2y=Dxe"* %3D

A: Given that y"'+y"-2y=xe^(-x)

Q: Fird the inversc trons frm of ; F (5) = sz+ 25

A:

Q: Js:(Jī - x*) dz = 15/x (A) vX - 15x? +C 2 (B) 5x - 3 + C 4 (C) 2x5/2 _ 5x + C 4 (D) 25x5/2 5x1 + C 4…

A: Given: ∫5x(x-x2)dx

Q: 3cos3x %3D s² + (v9)

A: We have to solve given problem:

Q: 2. (s² +5

A: The given function is -tcos5t To find the Laplace transform of the given function proceed as follows…

Q: | In(vE + 5)dt

A: Given: I=∫lnt+5dt  ……1

Q: If y = 3, then dy de 3x+2" |3|

A:

Q: ALL for f*) Such tatt FIND FUNC TIONS Vx - x² +1 :(^),f

A: The given derivative of a function f(x) isf'(x)=x-x2+1x

Q: 4- 2. -2. -4 -6 10

A: Question is based on Observation of given graph.

Q: Given P(A|B) = 3 P(A|B°) , P(A) = 0.02 and P(B) = 0.25 a) Find P(ANB) b) Find P(B|A) c) Are A and B…

A:

Q: 2 fax) = 2 + 3x-xª for f(x+1)

A:

Q: 5- Find L-1 5² (s²+4)² by using Convolution theorem.

A:

Q: 5. Evaluate f(x) = 3x²-3x + 1 for f(-1). a) 13 b) 7 c) 0 d) 4

A:

Q: If C(s)=16-2s2 then find a) C(3) b)C(-2) c)C(-1)

A:

Q: Consider x = 3x1 – 2x2, x, = 2x1 – 2x2, with x (0) = 3, x2 (0) = ;. b If x1 ge + e-, find the values…

A:

Q: Q2/ Let X-N(4,9). Find (a) P(1 2). (c) P(|X2| >5)

A:

Q: (p'- 10p + 20p+ 26) ÷ (p- 5) |

A:

Q: FInd the following. (0, 1), v = (5, –2) u = (a) |삐 (b) ||v|| (c) |u + v|| (d) (e) u + v (f)

A:

Q: Let fé)--을(t)6. Eveluate f(-8) %3D f68)= ? %31

A:

Q: Show that * y = (y² – r*)(2² – x*)(2² – y³)

A:

Q: (2VZ cV4z-x2 Evaluate S" dydxdz

A: This question is taken from the calculus in which we have to find the triple integral of the given…

Q: 1) 2xyy = (y)2 +1

A: we have to integrate

Q: (3 + 5y +7{ ) 2+y? 200 + y02 exists if lim r)(0.0)

A: This is a problem of multi variable calculus.

Q: Evaluate L{(t²+ 4)e³t} 2(2s² – 12s + 19) а) 2(2s² - b) 12s + 19) (s + 3)2 (s – 3)2 (2s2 – 12s + 19)…

A:

Q: X- (X)NI X 13g Tol tuods JadW (q )

A: Topic:- derivatives

Q: (6) (x)어

A: we have been given f4(x)=(x2+1)2 we have to find the value of f6(x).

Q: Q No 4 Evaluate (a) S 3x+4x+16x+20x+9dx (x+2)(x²+3)²

A: NOTE- I HAVE ANSWERED FIRST QUESTIO FOR YOU. IF YOU WANT THE SOLUTION OF REMAINING QUESTIONS THEN…

Q: (AUB) = ACNBC. Show that P(ACNBC) = 1- P(A) - P(B) + P(ANB)

A: P(Ac∩Bc)=1−P(A)−P(B)+P(A∩B)

Q: Let A = B = C = {x 1 x is a real number}. Let f: A → B and g: B → C be defined as follows: f(a) 2a…

A: