ztp ztp (₁ ×p ² - 2 ² × e) # = 2 × ²² - x² p Using tensor notation, prove:

Q: value of ∑n=1∞(6an+9bn) if ∑n=1∞an=8 and ∑n=1∞bn=2.

A:

Q: Use Residue theorem to evaluate dx - x2- 8x+ 17 00

A:

Q: gien oferdone (D- JI) (D +3I); the to the grven finctions e-3%

A: (D-2I)(D+3I)=D2+3D-2D-6I=D2+D-6I Apply the operator on e2x…

Q: Transform the following formula into CNF (a (bv c)) ^ ((a V¬b) v¬c).

A:

Q: E valuate:0 =4 j9

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you. If…

Q: da Use a trig substitution to evaluate x2 V9- x

A:

Q: り plot s XE[-2T,27] Sin3X „Cas2X,

A: a.  Given function is, f(x)=e-x2 We find that f(0)=1 and when x→±∞, f(x)→0 So, the graph will be,

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: C) Worte ex bonent prom into nte exborent from 2x+B. 109= ¢

A: We know that, from the property of logarithm, logab=c⇒ac=b         ⋯⋯1 Also, from the property of…

Q: is o(x). Hint: Use ling divisim

A: Let consider  fx=x4+x2+1x3+1 To show that f(x) is O(x).

Q: 3/2n 7. Find proj in terms of: (a) b)

A: Solution of the problem as follows

Q: write new identity (x + y) (x2 − 2xy + y2)

A:

Q: Suppose Zı= 4+4i , Z2= 5 +7i. Evaluate (a) 2 Z1– 4 Z2 Z2 (b) 3 Z1

A:

Q: prove thati- Exi 2. (Exi) 2. (xi-X

A: Solution-: We prove that,

Q: 3x2 - x - 2

A: Given function is 3x2-x-2 We can write 3x2-x-2=3x2-3x+2x-23x2-x-2=3x(x-1)+2(x-1)3x2-x-2=(3x+2)(x-1)

Q: Prove that diyrwl

A:

Q: In x dx

A:

Q: Using algebraic substitution, differentiate the following |2+ Vx dx

A: Note: Since, the student has made an typing error by writing "differentiate" in place of "integrate"…

Q: 4. Prove that (2x+3y)(4x²−6xy+9y²)+(2x−3y)(4x²+6xy+9y²) is 16x³ equivalent to 1 for x = 0.

A:

Q: O Ex press the following in the Rorm atib : (i) (l+i) (1-2i) I+ 3i 34i (1-i)? 2+Bi 2 (ii) 3+4i 2 -4i…

A: Complex number: A number of the form z=x+ιy, where x and y are real numbers, is called a complex…

Q: (3 2X +2X +2 dx x²+2x=x -2

A: As per guideline we have to solve

Q: - A) -16x-5-x-2/3 C) 3 4) Find: d 4 dx x4 5 -4/3 B) ਪ੍ਰੈਲ-5-1582/3 D) - 1 5-2/3 433 3

A:

Q: Divide the radicals: 3,/20y8 2/4y6

A:

Q: (2 + j)?

A:

Q: Let z1 = -5 + 14i and z2 = 5 – i. Find z122 and (z1z2). 7122 (2122) ||

A:

Q: expression wi SION

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Q: (4) 9Afi - fiAgi (a) Show that A 9i 9i+1

A:

Q: Q2\ Evaluate : fot√x dx

A: The given integral is ∫cot2xxdx use the identity  cosec2x-cot2x=1 cosec2x-1=cot2x therefore the…

Q: Simplify and express in a + bi form: (12 + 3i) – (3 – i) 2.

A: 2. We need to simplify the following complex number expression 12+3i - 3-i

Q: 21 (3coshm +eoshm sinhmdm

A: integration ∫3coshm+ecoshm2sinhmdm