The multiplicative inverse of x5 +x-1 in Z5[x]/ is: X^4 None х+1 X^3

Q: Show that x60 can be computed with only seven multiplication operations.

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Q: Find the fourier expansion for the function whose definition - - <x <- 2 x, - 2 (x) 0, <x< 2 2

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Q: The inverse of 3 - - 4 x + 1 g (x) = | is . ... 3 + 1 x – 4 –1 g (x) = 3 -1 g (x) x + 4 g' (x) = 3…

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Q: -3t 712e Sinzt 37-47=

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Q: One of parts (a) and (b) can be integrated with the Power Rule and the other cannot. Integrate with…

A: (a) can be integrated using power rule. (b) can not be integrated using power rule because (b) has…

Q: (22-4) (교3-4z)3 dz

A:

Q: Can somebody help me on how to evaluate the integral.

A: Refer to the question, first evaluate the given integral in indefinite form that is with the limits.

Q: rivial of

A: To find the non trivial of Z8 as,

Q: Show that, cosh-1 x = In (x + /x² – 1)|

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Q: In(x-1) 33 Differentiate with respect to x. 2x + 3

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Q: Evaluate this indefinite integral: 6x^5dx-18x^2+7

A: We have integrand fx=6x5-18x2+7 We have to evaluate  ∫6x5-18x2+7 dx We can write as ∫6x5-18x2+7…

Q: Find fio for feをノュー! アえ-2

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Q: If z1=1-1,z2=-2+4i. Evaluate |2z2-3z12. pdf.

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Q: If X is a positive number such that : X² – 10X = 9VX Then X – VX = ?

A: given:x2-10x=9xsquaring both the sides:x4-20x3+100x2=81xwe get x=0, x=1, x=19±372.but for the…

Q: Divide (X3 + 8X2 + 5X – 14) by (X – 3) X2 + 11X + 38 + 100/(X - 3) None of these. x2 + 5X – 10 +…

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Q: Solve for x using sci notation (2x)(2x) / (0.2) = 1.4 x 10^-5

A: In scientific notation, numbers like 0.0000053 will be written as 5.3x10-6

Q: find the value of x in (1/(3x+1))+(1/(x+1))=(1/(3x+1)(x+1))

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Q: divide x – 6x² – 9 by x + 6 | 1089 O x³ + 6x² + 42x + 180 + x+6 -x3 – - 6x² + 30x – 180 10 X- 1071 O…

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Q: Evaluate the integral: Sen(1²2+3x-7) е dx A x² + 5x+In 3x-6|+C XZ B +5x+31n|x-2|+C 2 C x ²2+ = +…

A: On solving this we will get

Q: Find the number of positive integers less than 1000 that can be expressed as the difference of two…

A: Find the number of positive integers less than 1000 that can be expressed as the difference of two…

Q: dx 4. xV25-x2 5+vx2-25 In + C а. 5 b. In 5+Vx2-25 + C 5+v25-x2 In + C с. -- d. None of the above

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Q: Determine whether yy00 ory-y – ∞ as x-7-a∞ Ond x-7∞, 2 =x=-4x²-4x-8

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Q: Give a proof by cases that [4x] = [x] + [x + ¼ ]+ [x + ½ ] + [x + ¾ ] %3D

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Q: 1. clx イーx2 -2 OF

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Q: How to get rid of a radical

A: A radical is a term with one by nth power of the variable. The radical sign is as shown on the white…

Q: Find the Fourier integral foxx) 5 if -25X TO -8 iP xx2

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Q: Evaluate the indefinite integral: (5z² +5x - 4) da

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Q: Use Cramer's Rule to solve for x2. xi + 2x2 +x3 = 2 3x1 – x2 - 2x3 = 7 X2 +x3 = -1

A: Here we have given one matrix and we have to find the value of x2 by using the Cremer’s rule.   Now…

Q: 3. Evaluate the improper integras: -0.5x +5+5 (a)

A: Part(a) Given:  Evaluate the improper integral.

Q: Exp (tr/0.32) MT BF due to tr : (9.6X1018 )x 250x106 x1 fose T 0.3ns - TrE 14:99 N 151(D-flip flop…

A: the first step is MTBF=exptr/0.37n9.6×10-18×250×106×1 given tr=14.99≈15n substitute the values…

Q: Find 4 of 3xy –- x³ = 5 at (1, 2)

A: Given; 3xy-x3=5 at (1,2)

Q: 2. Determine the real ro accurate to 4 decimal

A: 2. Given,            f(x)=tanh(x2-8)

Q: Compute A−2 two different ways and show that the results are equal.

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Q: Multiply (x+ 1) (x – 1) O x² - 1 O x² + 2x + 2 O x² + 1 O x2 - 2x - 1

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Q: 3 13. Evaluate x2 Vx + 2 da -1

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Q: How do you prove this?

A: Solution is in step 2

Q: 11 ,5 -2d*¨f -2 2 4df

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Q: Express x8 - x as a product of irreducibles over Z2. Please be clear, correct and legible. Thank…

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Q: of th

A: Option B is correct.

Q: Verify that Jp+1(x) + 2/½(x) –- Jp-1(x) = 0

A: Verify that, Jp+1x+2Jp'x-Jp-1x=0 The Bessel's function Jpx is defined as follows, Jpx=∑n=0∞ -1n…

Q: Show that0+0iis a ‘complex additive identity element’; andthat1+0iis a ‘complex multiplicative…

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Q: verify that 5A = 3A + 2A

A: Given that A=341127. Compute 3A+2A as follows.

Q: Find product solution for this PDE: xuy - yuz = 0. %3D

A: Solution of partial differential equation.

Q: The multiplicative inverse of 1 + 3x in Z,[x] is: 4x+1 6x+1

A: We can see only first two options in the given picture. And these two options are not correct.

Q: Express x8. -x over Q[æ] and over F2[x] as a product of irreducible

A: Let f(x) = x8 — x. Over Q,f(x) = x(x7 — 1) = xϕ1xϕ7x=xx-11+x+...+x6 Note that  ϕ1x and ϕ7x are…

Q: # (u²-1)4 (u² + 1)4 du

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Q: Use Gauss elimination and Inverse method (by minors, cofactors and adjoint) to solve: 8x1 − 2x2 −…

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Q: - V hence V.

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Q: redt ylnx =2

A: The given implicit function is xey+ylnx=2 To find: dydx

Q: Compute x-x where x=i-2.

A: For the given value of x x =i-2  x3-x is evaluated as shown below

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.