Write down the identity element e for (G, a). You need not write a proof of the identity law.

Q: aphs.pdf Quadratic Formul... acomacc.instructure.com A Afterna ZOOM + Worksheet 4.1: Discriminants…

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Q: 28. If the objective function is to Max Z=2x+3y, what will be the optimal solution as shown below?…

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Q: For what values of the parameter a does the equation x + 2ax³ + x² + 2ax+1=0 have at least two…

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Q: The numerical value of 34 3dA (where D is the region bounded by lines y=0 and x = 1, D and the…

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Q: How many rows do you need for the truth table of (p ^ q) →r? 8 3 O O O O 4 16

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Q: What is the minimum number of colors you need to color the vertices of this graph such that if two…

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Q: Find the Laplace transform of the following: 4. y + 2y" - 11y' - 12y = 11t-9, y(0) = 0, y' (0) = 0,…

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Q: 4. Let V be a vector space over C and let L: V → V be a linear transformation. State the definition…

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Q: Optimize the following equation Subject to By using Lagrange Optimization Method? y = 2x₁² - 4x₁x₂ +…

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Q: The domain and the range of z=cos-¹(x²-y-3) are represented respectively by A. None of the choices…

A: We have to find the domain and range of z = cos-1(x2-y-3).

Q: t, g(t)= (t-4)², (9t-e20-4t, t<3 3<t<5 t≥ 5

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Q: If A = {x+|x-1| : xER), then which of ONE the following statements is TRUE? A. Set A has a supremum…

A: We use the definition of modulus function to solve this problem.

Q: Question 7 Which ONE of the following statements is CORRECT? Consider the series 2n! + 1 n=1 OA None…

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Q: 10- 5 -5 -10 5 10 -10- This is the set of points such that |z| = |z − zº| for some zº € C. . Enter…

A: (.)  The set of points z ∈ ℂsuch that ,            | z | = | z - z0 |  for some  z0∈ ℂ   (.)  If…

Q: y" + 2y + 5y = t cos(5t)-6,y(0) = 1, y'(0) = -2

A: Here we use the table of Laplace transform and the partial fraction method to find solution.

Q: The interval of convergence for a given power series is (–7, 5). What is the center of this power…

A: The interval of convergence for a given power series is (–7, 5) Then  -7 &lt; x &lt; 5   - - - (1)

Q: owing ODE is exact and solve for x(t). dx - - xtan(x) + sec(t) =0 x( dt Where a = (1+Q) with Q being…

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Q: Example 2.40. Solve x¹-5x³+20x² 40x+60=0, given that all the roots of f(x) = 0 are complex, by using…

A: Here we need to solve equations using Lin-Bairstow Method.

Q: Always show full working. Where possible give the exact answer. 1. A biochemist is testing the…

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Q: y"" - 4y" + 5y' - 2y = 7t-5, y(0) = 0, y'(0) = 0, y'(0) = -2

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Q: 3] Use determinants to find the values of X, Y, Z, W, M. 26 14X7Y+5Z - 11W + 21M = 33 -3X + 5Y-13Z -…

A: We have to find the values of X, Y, Z, W, and M using determinants.

Q: Using Newton-Raphson Method, what is the root? Use error = 1 x 10^-6. Start at x1 = 0.5000.

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Q: Solve for x: Assume x is a negative number. 6 x - 4 = 2 = 0 -21

A: Solution

Q: 1. If f(x) = x³ + x is a periodic function with period 2r, then the Fourier series will have the…

A: Solution

Q: What is the greatest common factor of two relatively prime numbers?

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Q: If a, b, c are in GP and the equation ax² +2bx+c = 0 and dx² +2ex+f=0 have a common root, then is it…

A: Solution:  Given a,b,c in G.P.  So b2 = ac  Hence b = ac  ax2+2bx+c = 0Put b=ac in above equation,…

Q: Example 4.16. Using House-holder's method, reduce the following matrix to the tri- 1 diagonal form:…

A: First check  about the symmetricity (A square matrix  A is called symmetric if A=AT) AT=143412321…

Q: = 2 -- for n E N. Then the limit of x is equal to n+1 If x,> 8 and x ******

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Q: consider the series 2 (-1)" " Which ONE of the following statements is CORRECT? n=1 3" OA. The…

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Q: The region is bounded by y = x³, y = 2x + 4 and y = −1. The y - coordinate of the centroid of the…

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Q: On: A IS tor while A is a scalar. |A|. If A B < 0, then the (smaller) angle between the vectors A…

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Q: Find a Maclaurin series for f(x) = x² e-x giving the first four nonzero terms and the general term.

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Q: Which ONE of the following statements is CORRECT with regards to the sequences of real numbers? ∞0.…

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Q: 34. Evaluate: lim n² n→∞ • {√(1 - COS / )√(1- cos / )√(1- COS $=) ... COS

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Q: Identify any vertical asymptotes of the function: 5x² f(x) = x² - 16 If there are none, briefly…

A: Horizontal asympototes  are y=5

Q: Find eijen values and eigen vectors 5 For M = 5 QNO:7 7

A: We need to find eigenvalues and eigenvectors for , M = 5775 For finding eigenvalues we need to find…

Q: h- i- d'y dt² -9y=sint; y'(0) = 0, y'(0)= 0, y(0)=0

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Q: 3t y" - y' - 6y = t²e³t - 4t², y(0) = 0, y' (0) = -1

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Q: 1. Which of the following is NOT a circuit in the graph? E FO OA) CBEC OB) ABEA 0 C) BCDCB Figure 1…

A: Vertex is where two or more edges meet. The circuit is a path in a connected graph in which the…

Q: create 2 sample word problems of integral leading to exponential and logarithmic functions with…

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Q: Evaluate the following definite integrals. Note: Final answer should be expressed as a decimal, not…

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Q: 2. Let be the part of the circle x² + y² = 9 from (-3,0) to (0, 3) in the upper left quadrant.…

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Q: Let f= (1 2) (364) and g = (1 4) (2 5 3) be permutations in S6, written in cycle notation. What is…

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Q: F is algebraically closed.

A: (a) =) (b) Let f(x) be a irreducible polynomial in F[x].

Q: 5. Suppose f(n) = xn is a function defined for all integers greater than 1 such that: X log2 In…

A: Since you have asked multiple question, we will solve the second question for you. If you want any…

Q: For the parametric surface r(u, v) = (u cos v, u sin v, 0) where 0 ≤ ≤2 and 0 ≤ ≤ 27 and which is…

A: Given r(u,v)=u cosv, u sinv, 0 where 0≤u≤2,  0≤v≤2π r→u=cosv, sinv, 0 r→v=-u sinv, u cosv, 0…

Q: Question 10 00 (-1)" (n!) The radius of convergence of the series n=0 3-6-9--- (3n) Place) (2x-1)"…

A: The given series is ,                                                   ∑n=0∞(-1)n ( n!…

Q: Consider the following function (i) z= arctan

A: given z=arctanyx now ∂z∂x=-yy2+x2∂2z∂x2=y2+x20--y2xy2+x22∂2z∂x2=2yxy2+x22…

Q: Find the second-order Taylor formula for ƒ(x, y) = (4x + 3y)² at x₁ = (0,0). Note that R₂ (0, h) = 0…

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Q: 3) Application of Optimization Problems. Use bordered determinants to check the following functions…

A: Given that ,  Application of optimization problem (a) Z = -x2-y2 ,…