-: Show that -1+i√3 =1 for all combination of signs.

Q: 3x° + x-10 37x+38 a) Show that 3x-12 + x2 + 4x+4 (x+2)

A: To show that, 3x3+x-10x2+4x+4=3x-12+37x+38x+22

Q: 1- Sti +65१ 25

A: We find L-1[(s+1)/(s2+6s+25)]

Q: 2) Find the quotient of and - 3 3) − 1 -/-/- × (-30 – 10

A: Solve

Q: (8x – 3) (16х - 33)"

A:

Q: a|b then albc for all integers c.

A: From the question, a|b means that a divides b, and similarly, a|bc means that a divides bc. We need…

Q: 13-R] [CLO 3] Simplify the expression a2 b5 c4 / a3(b2)-3d-4 so that each variable appears at most…

A: a2b5c4a3(b2)-3d-4=b5c4a3-2(b2)-3d-4=b5c4a(b2)-3d-4

Q: D Express the interval in (a-k, a+R) aad 1 x.-alc.R I(3x+1)?(<!

A: |(3x+1)2| &lt;1 both side we take square roots |3x+1|&lt; +1 3x+1 &lt;+1 3x+1&lt;1    or    3x+1&lt;…

Q: +16x2 8-2 30 +4x 8-2 306 4- い当 V9zetx16 C-2 48-2 る X42 X 40. こ122

A:

Q: Evaluate the followng- (メー2メ+3) dx ー2 Cos (70+5) dO

A: Formula used: 1)∫xn dx=xn+1n+1+C and 2) ∫cosx dx=sinx+C, where C is integrating constant. Given: 1)…

Q: Find the He Intertl Of Colvergelke HON e raus and Couverge (3x-1)" 12+h

A:

Q: Explain the difference between the quantities (Σxi)2 and Σx2 i . Construct an example to show that,…

A: The (Σxi)2 represents the square value of the sum of the data, while Σx2 i is the sum of squared…

Q: Vse Che quadatic farmuta to solve the quaidratic egaution?

A:

Q: Jósec? 30/3+2 tan 30d0 8.

A:

Q: 7- Find fx³√3 - 2x² dx

A:

Q: Lec 1.I (1-2) 27 scientific 5 dig its). Write X = .00123 in notation (significance is up to

A:

Q: (2-V360°=-V2-3/6s

A: Given equation is: (2-√3i)z3=-√2-3√6i We have to find value of z

Q: ič = (-3, –5) and ď = (-2, –6). in |4 – 2.5d|. %3D O 8/6 O V74 146

A: Given : c→ = -3,  -5 and d→ = -2, -6   To find : 4c→ - 2.5d→?

Q: | 2. tan @ + 2tan?@ + 1 4 n4 @ tan4

A:

Q: 1-cossquaretheta ) cosecsquaretheta =1

A: Solution is here

Q: \/(r2 – 6r + 9)    a. Defined for all reals.              b.      r 3   c. r -3…

A:

Q: Find x so that x,x+2 and (x+3) are threee consecutive terms of GP

A: When a, b, c are in gp then b^2=ac.

Q: 32r+3 = 34)

A: Given- 32x+3=3x2 To find- The value of the variable x.

Q: 3 2. (e) 12 +3t+2 2+1-2

A: Given,

Q: Find x so that x,x+2 and (x+3) are threee consecutive terms of GP

A:

Q: b.) (-38/135 +65/70) (3 + 4i) 5 + 2i

A:

Q: fu)=5+5X6 find inverse

A: Here given function as fx=5+5x-6 ; x≥65

Q: If 6 is substituted for x in the equation2(x - 3) - 17 = 13 - 3(x + 2),is the resulting statement…

A: Given Data The equation is 2(x-3)-17=13-3(x+2).   Substitute the values in the given left-hand side…

Q: Q: Interpret the yate of change of (31 +S) (4u+2) y = with respect (2x+3) to

A:

Q: [x – 5xxx + 4x] [4x – 5x,x + x] Muestre que: CX³NT %3D Xk-Xj 20

A:

Q: Se 3+2tan4x sec²4x(etan4x + 6)°dx

A: LetI=∫ e3+2tan4xsec24xetan4x+69dxI=∫ e3e2tan4xsec24xetan4x+69dxI=∫…

Q: a dz g4 – 10a2+29 Evaluate 글tan-1 (5) + C 4 음tan-1 (2늘은)+ b. + C tan- ( -) C. + C 4 공 (2부) +c 글tan…

A:

Q: B) Find the root and the height of (T, vo) where A = {1,2, 3, 4, 5} 6. and T = {(1,4), (2,3), (3,…

A:

Q: 4x' +2x? - 5 8. lim4x² +1)2x+5) II

A: Solution:-