42 ption Pran)= i?+11u +28 %3D 43-6u2-63u+392 a) lim Icm) » (w)さ Mil la s のさ uil (つ tSー

Q: fx/0=x) REAL Vay (y + 2x=y-x)

A: We have to identify the correct options.

Q: (p → (q ^ r)) ^ (1p → (1q ^ Tr))

A:

Q: / Rinel extrams Values af RcXy) H23-46Subjeetel to %3D

A:

Q: dx - x³)². (1 – -

A: Solution: Let Then, singularities  of  f  are  given by…

Q: 18y sin3 9y2. 10) +3 cos V9y2 + 3 dy + 3 cos

A: See the attachment

Q: (2x-50)9 (x+40)° 80° 150° (x+20)%

A:

Q: If M= (16x^8y^-4)^1/4 / 32x^-2y^8, determine values for x and y so that a) M=1, b) M<O

A: The objective of the question is to find the values of x and y that satisfy the given equation under…

Q: I'm confused with the Algebra, how did we get 1-2^n? I thought the 2^n both canceled out

A: Question is solved.

Q: L(2 cos? t} 2) 2(s-2) b) s(s2 +4) 2(s-2) c) s(s? -4) 2(s + 2) d) 4)

A: Evaluation of L2cos2t we know by trigonometry  cos2t=2cos2t-1cos2t=cos2t+12

Q: 2) FIND THE INTERVAL OF CONV. * (x-1)^" 2 (n+i) n=0

A:

Q: 9) $x* 7* dx

A:

Q: (2) DE (D² D²-70³-11 0²-80-12/9=0

A: A detailed solution is given below.

Q: 8- Evaluate a) Sz? + 4 sin(8z) dz 1+9cos(8z) бх- х2 b) S 3x. csc² dx x3-9x2+8

A:

Q: 4) sin- 2.

A:

Q: Determine the volume of the solid that is below the 3x+2y+z=12 plane and above the retangulo R={(x,…

A:

Q: 8- Evaluate a) ſe² + 4 sin(8z) dz 1+9cos(8z) бх- х2 b) J 73-9x²+8 esc²) dx Csc2 - х3-9х2+8

A: We have to use proper substitutions.

Q: a Cfoa) and (9af) (-3) Cf) () and d1(s)

A:

Q: sechx+cshx b) prove that e2x cshx-sechx

A:

Q: 6 - Vx + 2 = x + 2

A:

Q: | sec? u du = tan u + C

A: Topic- integration

Q: Integrate: - da 9x2+16 O In (3x + v9x2 +16) + C O In (3x + V9x2 +16) +C ㅇ tan ' (뚜) + C 0 tan1 (부) +…

A: Given ∫dx9x2+16

Q: +o0 - Find Ul-1/i, 1/i]- i=1

A:

Q: Show that is Reciz) e -ImZ p (ii) Im(iz) = Relz). %3D

A: Solution:- we have to show that  (1)    Re(iZ) = - ImZ (2)    Im(iZ) = Re(Z) where , Z = x + iy

Q: 28) -2V48a'bc2 4 30) 4V36xy'z

A:

Q: اس 3: أوجد [[٢س +۳[ .دس ؟

A: Calculate the integral of x2+3 using power rule of differentiation.

Q: 3η-2 7n+1

A: we have given a series.  We have to test whether given series is convergent or divergent.

Q: Stan"(w}sec°(w)ax u )کب + 27 + ه-)J ب)ا 20 - )J No appropriate Match au)کی - 207 - ه-)J du )قی + 27…

A:

Q: Ify = 5+5 In x - 2e" dx 5. -2e" O a) 5 + O b) 5 In(1) - 2e O) 5 2xe-1 d) 5 2e" Oe) 5 + 66

A: Given y=5+5*lnx-2*ex so differentiation of y is dy/dx

Q: EX Let A= [23], B-Qn [3,5] at C= AlQn [osl] which true? ) HL (AUBUC)=4 2) HL (AUB)-2 3) HLLBUC)=1…

A:

Q: 3. Prove the Distributive Laws: PV (q^r) = (pVq) ^ (pVr) and p^(qVr) = (p^q) v (p^r).

A:

Q: im confused with h) line 4, why did the numerator become x+5-5.  im also confused with line 5, as to…

A:

Q: 5)find y y= Inl-decx +tanx)

A:

Q: fex) = 2x+3

A: given y=f(x)=2x+3

Q: Szdx is 2(1 – x²)7 +c is it: +c_ is it : V1-x a)True b)false

A: Use sin²x+cos²x=1  And integrating the function  We get the required result

Q: The possible values of Re (i ^1/2) + | Im (i^1/2) | a) −1,1 b) 0, 2 c) 0,1 d) 1, 2

A: