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Q: Solve one of the roots of 6x^2 - 5x = 6 - 5i. Express your answer in rectangular form in 4 decimal p...

A: We have to use quadratic formula  Roots of  ax2+bx+c=0                x=-b±b2-4ac2a Also we have to ...

Q: 2n 1 (cos=0 0 +i sin e) + 10 2cosno eine

A: The general form of a complex number is given by z=a+ib, where a,b are two real numbers and i=-1. An...

Q: Decide whether the argument is valid or a fallacy, and give the form that applies. If he likes math,...

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Q: 1. For a given function f(x) = –7x + 3 a)slope is: b)x-intercept is: ( 0) c)y-intercept is: (0,

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Q: 9. Find all second order partial derivatives of the functions given below. (a) f(x,y) = In(x + y) (b...

A: We have to find all the second order partial derivatives of the functions fx, y=lnx+y and gx, y=tan-...

Q: (c) Given a rooted tree as below. Lucy Наппа Vanessa Chris Lei Oscar Yolly Lander (i) Find the heigh...

A: The height of a tree is defined as the height of its root node. Note that a simple path is a path wi...

Q: A box contains 6 balls, 2 blue and 4 green. Two balls are drawn at random in succession without repl...

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Q: Question 4. Suppose that H and K are subgroups of a group G and there are elements a, b e G such tha...

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Q: If x is equal to the square root of (-7+ 24i). Solve the principal root of x. C. 3 + 4i A. 3 + 3i B....

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Q: Question 5. Prove that O- subgroup of itself. (the set of positive rational numbers) under multiplic...

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Q: Solve the system of equations: Equation 1: 2wi + 3x(4-3i) = 13 - 66i; Equation 2: 3wi(4+3i) + 25x(1+...

A: Given: Equation 1: 2wi + 3x(4-3i) = 13 - 66i; Equation 2: 3wi(4+3i) + 25x(1+i)i = -100 + 175i To sol...

Q: 5. Let V be a vector space over a field F, and let U be a subspace of V. Using the fact that U is a ...

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Q: Eliminate all the constant in the equation and simplify your final answer. 1. Cx² + x + y = 0 2. y =...

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Q: Matrix C has a determinant of k and matrix D has a determinant of m. C and D are both 3 x 3 matrices...

A: Multipart:   We have , C  and  D are both 3 × 3 matrices. Also , detC = k  and detD = m. We need to ...

Q: 4. Let X = C[0, 1] be the space of continuous real valued functions on [0, 1]. Find a subset K of X ...

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Q: If f is continuous on [a, b], then f E R (a) on [a, b].

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Q: Q7 Let A = [(p → q) ^ (~p + ~q)]. Construct a truth table for A and determine if it is a tautology, ...

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Q: x2 + 4x + 4 x 1

A: We know the following facts, (1) A rational function P(x)Q(x) is discontinuous where denominator Q(x...

Q: Question 1. Suppose that G = xy = yx². {e, x, x², y, yx, yx²} is a non-Abelian group with |æ| = 3 an...

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Q: . Let G be a connected graph and e be a bridge in G. Must e be contained in any spanning tree of G? ...

A: We will form any arbitrary graph G  in which  'e' will be a bridge and then show e must be contained...

Q: The Euler's Summation formula can be used to approximate the integrals by sums.

A: The given statement is true.  Euler's Formula: If f has continuous derivative f'on the interval y,x ...

Q: 404 students were surveyed about their preferences of sports. 126 students like football, 131 studen...

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Q: Find the solution and define The interval at which function is değine 2. dx

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Q: (a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the di...

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Q: If money is invested at 6% compounded semi annually, find the present value of P94 500 which is due ...

A: When the interest is compounded, then the formula used is A=P1+rnnt , where, A is the final amount, ...

Q: HOMEWORK: Consider the following simple statements. P: Today is Friday. Q: It is raining. R: I am go...

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Q: Find the Inverse Laplace Transform of the following: 2. Y(s) = /(2s– 3)5

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Q: Use a system of linear equations with two variables and two equations to solve. 259 students enrolle...

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

Q: By using Iteration Method the largest Eigen value of the Matrix is: 2 -1 -1 2 -1 -1

A: Consider an identity matrix of order 3×3. I=100010001

Q: Let G = D10 × Z/7Z, where, as usual, D10 = (a, b | a5 = b² = e, ba = a*b) Let H ((b, 1)) and K = D10...

A: Since you have posted a question with multiple subparts, we will solve the first three subparts fory...

Q: Ços e cot & 12.) 1 = Csc e sin &

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Q: Example Evaluate a. 1 dx a² + x² b. 1 dr a² + x² C.

A: Introduction: Suppose, a real-valued function y=fx is given. There exists a function φx such that φ ...

Q: (v) The Fourier transform of ei2t e-3|t| is 9+(w-2)²

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Q: S dy S f(x, y)dx

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Q: Q3: Determine the eigenvalues and eigenfunctions for the SLP %3D x*y + 3xy + Xy = 0, y(1) = 0, y(4) ...

A: Given SLP is x2y''+3xy'+λy=0   (1) with condition y(1)=0, y(4)=0 Let x=ez Then (1) will be D1(D1-1)-...

Q: 4) Let A and B are two sets as given below, show that A = B. A = {m EZ| m = 2a for some integer a} %...

A: The given sets are:A=m∈ℤ m=2a for some integer aB=n∈ℤn=2b-2 for some integer bWe have to show that A...

Q: Write each of the following complex mumbers in the exponential form. (a) i cos (c) 1-1/3 584

A: We know that,z=rcosθ+isinθAnd, eiθ=cosθ+isinθTherefore, z=reiθ

Q: Use an Euler diagram to determine whether the argument is valid or invalid. All robins have wings. A...

A: We can make an Euler diagram for the first premise - All robins have wings  

Q: 4.8 x 7

A: Solution

Q: Lina needs a logic circuit that will implement the function defined by the following truth table. (d...

A: Given truth table, A B C F RESULT 1 1 1 1 ABC 1 1 0 1 ABC 1 0 1 1 ABC 1 0 0 0 AB C 0 1 ...

Q: 31x = 14(mod127) 26x = 3(mod97)| 3(mod97) 17x = 87(mod101) 24x = 591(mod1001)

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Q: 5. For n E N, let fn:X → R such that o # X c R. If each fn is continuous on X but f:X → R is not, th...

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Q: Question 5. Prove that Q>0 (the set of positive rational numbers) under multiplication is isomorphic...

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Q: Check the DE if it is exact or not. Solve it (if it is not exact use the method by using the integra...

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Q: If Snoopy danced a jig, then Charles Schultz did not write a sonata.

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Q: Constructing a hyperbolic line through two given points. a. Given a point p in D, construct the poin...

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Q: Let E be a set that bounded and c > 0. Prove that sup(cE) = -c inf(-E)

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Q: An exercise yard is to be made consisting of two (2) regular partitions (see illustration below) y T...

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Q: Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule. Estimate th...

A: Given: ∫0πsintdtWe have to evaluate the integral using the Trapezoidal rule and Simpson's rule with ...

Q: 13. If f € R(a) on [a, b] and if S f da = 0 for every f which is monotonic on [a, b ], then a is con...

A: Given f∈Rα on a,b. Given that ∫abfdα=0 for every monotone function f on a,b. Claim: α need not be co...