What is mZPQR? R x+1) (3x – 5)°

Q: iv) (x+ yi)(3i + 2) = (2x – 3y) + (3x + 2y)i %3D

A: The detailed solution is given below Thank you

Q: Find 3xe Select one: O a. O b. da. Hint: use substitution. (e-1) (1-√e) (1-e¹) ○ c. O d. (1-e)

A: ∫xndx=xn+1n+1+clet x2=t2xdx=dtwhen x=0, t=0when x=1,t=1

Q: If z = 1+ 2i and w = 3+ 4i, express the following in the rectangular form: (a) 2|w| +(1 – i)2² w + z…

A:

Q: Sx dx 3 x2 ४

A:

Q: Show that 2 (-r × B)² = (r² B² – (r. B)²) And, further that r² B² (r. B)² = B² (x² + y²) - If B = B₂

A:

Q: 2dx J = (3(ln x)² + 12 In x – 15)i -

A:

Q: Simplify: (22 – 4)5 4.x + 4) /x + 2 (x2 a) O (x + 2)7/2 ( – 2) –7/2 b) O (r + 2)-5/2 (x – 2)4 c) O…

A: We have to simplify

Q: [D³ 6D² + 11 D - 6) y = tanx -

A: Sol:- Original Differential Equation can be re-written as :- y''' -6y'' +11y' -6y=tanxThe general…

Q: Solve the equation 8sin?xcosx – 2cos?x = 2cosx.from[0,2n].

A: To solve the following trigonometric equation  8sin2x.cosx - 2cos2x = 2cosx

Q: ダ= secx Ptove that +イ=243

A: We can solve the problem by the properties of trigonometry.

Q: g(x.y)-xn (x-y), as(-2,3) Pind vg ?

A: Given the given function is gx,y=xlnx+y,    x,y=-2,3. Apply gradient formula ∇f=∂f∂xi+∂f∂yj

Q: What is equal (1 + 5K + 3J ) (1 + 2I+ 3K)-1? Write the coefficient at J & K ?

A:

Q: Find mZA. (5x - 1) A D (2y + 1° (4x+17)° B C (3y - 20)

A: We can find the value of angle A as below.

Q: 1. Find the y" of y (4x-3x + 1)9 (5x + 7)2 1/2

A:

Q: 14) dx कर Vx2 - 8x - 9

A: Question - Evaluate the integral.

Q: (2x-1) (3x + 4) dæ

A:

Q: Which of the following expressions simplify to 4x? y? (4xy) (4x) (&xy²) (2r°yz) y(2x²y)

A:

Q: (9х2 — 9х — 10) : (3х — 2)

A:

Q: (4x² – 5x)5(8x – 5) dx

A:

Q: What is the value of sec¹(2)? A B C D 5 T 되어 3 -- 3 3 5T 3

A: Let sec-12=x  then     secx=2 As secant is the reciprocal of the cosine function, i.e.…

Q: Find å + B, 2å + 35, |äl, and |ä – | for å = i + 2j – 3k and b = -2ï – j + 5k.

A: solution:-a→=i→+2j→-3k→b→=-2i→-j→+5k→(1)a→+b→=i→+2j→-3k→+-2i→-j→+5k→         =1-2i→+2-1j→+-3+5k→…

Q: (2+2x) e4+2² dæ her tonic

A:

Q: √(x³ + 2x² + x -5) e 2X dx

A:

Q: Find at x= 2 dx? 4 %3D dx? 2.

A: Given 2tanx+4y=4 Taking derivative with respect to x, we get…

Q: .2 2 S²6²³ (2x + 3y) dxdy 0 Find

A:

Q: (z-1)²sin (dz (2-1) C:\z + 11 = 1

A:

Q: 1000 (7x – 11) (-2x x = X =

A:

Q: | (x – 3)2 - c) dx Va2 – 6x

A:

Q: What are all the real zeroes of y = (x– 12)°–7? %3D

A:

Q: theorem

A:

Q: 1 3t(2 – t)²dt -1

A:

Q: Find mJKL D 14x+3 L 14x +9 K

A:

Statements and Logic

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