Factor 10+ 4i into product of primes Z [i], (Hint: Ille= (2)(2)(29)) in %3D

Q: Q2) Use rounding to 6 digits and compute each of the following: a) P(0.01), where P(x) =…

A: Given, P(x)=(ex-1-x)x2 therefore, P(0.01)=(e0.01-1-0.01)0.012                                =…

Q: Which number is equal to e-i2m3n/32 (n) ei273n/32 (U) ei2n29n/32 (A) ei2m6n/32 (1) ei2726n/32

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Q: Find LOVE LOVE 0 0 [Trysin(x² + y²) dady

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Q: (4) 5x² +10x = 0 (Ans. -2,0)

A: 4)8)

Q: When multiplied out, what are the first 4 terms of (x + 3y)0?

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Q: 2 – L{5 + vZt }

A:

Q: (*+)(LX +ン 2" (2n +1)

A:

Q: { :Find the first 3 terms for 2n-1 (2n-1)! (−1)n+¹

A: given sequence  -1n+1x2n-12n-1!

Q: What is the coefficient of xy- (the third term) in the expansion of (2x + 3y)'? 6. O -18 O 18 O 54

A: We have to find the coefficient of xy2 in the expansion of 2x+3y3.

Q: Assume that n / 7 = q R3. What is (3n + 4) / 7

A: Givenn/7 = qR3n = 7qR3

Q: In(-3 +3/3j)

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Q: Determine all the roots of z8 - 2z* +1 = 0

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Q: The exponential form of z=(3/2)√2+(3/2)√2i is?

A:

Q: Find the negative real root of  x3 + ebx - cx = 0  if b = 2 and c = 10 using bisection method with…

A: Bisection Method: Firstly, find points a and b such that a<b and fa·fb<0. Now take the…

Q: Evaluate √12 to four decimal places by Newton-Raphson method

A: To use the Newton-Raphson method to evaluate 12, we start with an initial guess, say x = 3. Then we…

Q: (4) square root of 3/4

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Q: 1 and h = 2 3 V2 h = unity %3D D 2

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Q: Use al-Kashi's method to approximate 138 (including the fractional part of the approximation).

A: In the solution part given the complete explanation of the solution by using al-Kashi's method

Q: Could you please explain what happened in b and where the 1/2 came from

A: The formula is given by:       xn+1=xn2                         ..........1 Using equation (1), we…

Q: Evaluate by Residue Theorem 4 food, (a > 0)

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Q: Differentiate the following: (a) (2x – 1)*. (b)(5x + 1)* (3 – 2x)* -

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Q: (z+1)(z+6)(z+10) z(z+2)(z+3) 3. What is the residue of at z = -2 (z+3)(z–2)² (z+2)(z+6) 4. What is…

A: 3) Given f(z) = (z+1)(z+6)(z+10)z(z+2)(z+3) Then Res(z=-2) = limz→-2(z-(-2))f(z)= limz→-2(z+2)f(z)=…

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

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Q: In(7x – 1)= In(3x + 7)

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: what are the first three terms in the binamial, expansion of (2a-0,5b) 1.

A: Given

Q: if x-59325.1762 and y-23.1538321 then the floating-point of xey using 5-digits rounding method is A.…

A: Given: The given values are x=59325.1762 and y=23.1538321

Q: (i) Find the roots of the following (a) (-16)"ª (b) (2i)"² 1/2

A: Given,

Q: expression wi SION

A:

Q: how did you find the z of 1.65?  can this be redone with 3 decimal points? the endpoints are…

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Q: where did the 3/2 towards the end come from?

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Q: Calculate the main value for  ln(−3 + 3√3j)

A: