1. Solve the simple equations: 7x -2 19 - 4x + 3 = 1 3 2 2x + x- 13x + 6= 0 2 Solvo uei

Q: 1. Find the first 11 terms of an arithmetic sequence in which the third term is 10 and the eleventh…

A: As we know that :nth term of AP = a+(n-1)dHere we have        a11=42 = a+(11-1)d..............(1)…

Q: A Beverton-Holt model for a fish population is described by the DDS 3.07Pn Pn+1 1+ 0.003Pr with Po…

A: We are given an equation which represents Beverton - fish model for fish population.

Q: Q16: What's mean by a nilpotent element of a ring R? Find all nilpotent elements of Zg.

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Q: 1 Let ū = and ū = a. Prove that the set W consisting of all vectors in Rª that are orthogonal to…

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Q: 3. Check for monotonicity for the following functions. TR = -20² + 14Q %3D TC = 20 + 10 100 AC = Q +…

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Q: Find a fundamental matrix of each of the systems in Problems 1 through 8, then apply Eq. (8) to find…

A: As per policy, we are allowed to answer only one question at a time. So, I am answering the first…

Q: Use the tabular method to evaluate the integral |(x* + 2x – 1) cos(4x)dx

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Q: Find the odd and even half range expansion, f(t) -t KIN RIN

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Q: Q1 Minimise f(x) = X;² + x;? + 2x3? – x1x2 %3D a) Determine the stationary point and check the…

A: Given, f(x)=x12+x22+2x32-x1x2 a) Stationary point:…

Q: (A) Prove that 1. There is no simple group of order 200. 2. Every group of index 2 is normal.

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Q: Hiwe- slove finite diffrence method // ~つ y = h=l ,[o,4] y(o) = 1-25 %3D y (4) =0,95

A: Using centre difference formula for furst and second order differential

Q: SAIU-Class Homepage it Intellipath(tm) for Student Intellipath(tm) for Student…

A: Remark: Scaling a length means multiplying every linear dimension of it by the same factor. Thus you…

Q: Resolve the (a) a has a magnitude of 16 units and makes an angle of 48° to the positive (b) b has a…

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Q: e" (1-e*) (1+x)[In(1– x)] 12. lim, 0

A: Introduction: In mathematics, limits are the factors at which a feature tactics the output for the…

Q: topological space X is the intersection of all its closed neighbourhoods. A regular if and only if…

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Q: Use the main theor 't take powers)

A: We have to show that 12 must be the primitive root of 25 by using the main theorem on the primitive…

Q: How many binary numbers of fixed length 8 have weight 3?

A: According to guidelines here solution of only firt question

Q: Question 3 Express in polar form el14 + 943 - ( 8-j6)/j² Answer must be in polar form (i.e.…

A: Solution-:

Q: Arrow's Impossibility Theorem implies that there is a voting method that satisfies all of the…

A: Arrow's impossiblity theorem says that we cannot have a single voting method that satisfies all the…

Q: B. FOURIER SERIES OF PERIODIC FUNCTIONS 3. Interval – 1<x< 1; function f(x) = 0, = 1, = 0, - 1<x<0…

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Q: Prove logically that " C, + "C, + "C,+…+"C, = 2". %3D

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Q: 3. Evaluate the integral x³ – 2x² – 4 dx x³ – 2x?

A: Given integral is ∫x3−2x2−4x3−2x2dx. We have to evaluate the given integral. Take a partial fraction…

Q: Q2: Define prime and semiprime ideals.

A: We can solve this using the given information

Q: A measure of the outcome of a decision such as profit, cost, or time is known as a О payoff O…

A: Solution

Q: en the function, find the Fourier Series Representation. f(t) t

A: Fourier series expansion of the given series in the interval .

Q: 15. (i) Let A, B be 2 x 2 matrices over R and vectors x, y in R2 such that Ax = y, By = x, x"y = 0…

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A: Given: Condition required to make the password. To find: Number of passwords

Q: Let 4 be a list of n (not necessarily distinct) integers. Describe an On-algorithm to test whether…

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Q: 2x + y- 2z= -7 + 5z = 10 X- 2y- z= - 11 (-5,5,6, - 3) (1,-5,-7,-2) (5 - 54 - 2)

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Q: (B) Let G be a set of all real numbers except 1. Define on G by a b = |a|b, where |a| is the…

A: Set of nonzero real numbers and group

Q: Characterize the primes p mod 20 such ial

A: We have to characterize p mod 20 such that -5p=1.

Q: Find the centroid of the solid generated by revolving about the indicated axis the area bounded by…

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Q: If X is a finite dimension that an inner product o Yjk = (e, ex). Can we cho fashion? %3D

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Q: 2. Detemine if the following integral converges or diverges. If the integral converges, find its…

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Q: Calculate the inverse of 15 mod 26 (i.e., solve 15 * x ≡ 1  (mod 26))

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Q: Find Soe-=*+u° (cos 2xydx+sin 2xydy), where C : a² +y² = R².

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Q: An example of cissoid of Diocles is r = sin 0 tan 0 whose graph is below. Show this curve has the…

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Q: 1. To the right, you are given a contour plot for the function : = f(z.y). (a) Estimate the values…

A: We will use definition of partial derivative and contour diagram to  to find sign of fx and fy

Q: Let X = {x € Z+ | 15 < 4x < 22} and Y = {y is even | 0 < 2y +1< 15}. Define a relation R from X to Y…

A: ANSWER ONLY ASAP! What are the elements of the Cartesian product X x Y?

Q: 10. A ship travels 80 km on a bearing of 27º, and turns on a bearing of 117° for 150 kilometers.…

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Q: Let ő1, 82 E R such that 0 < 61 < 82. Show that B(p, 81) C B(p, 82). Suppose S and T are balls with…

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Q: You generate a scatter plot using Excel. You then have Excel plot the trend line and report the…

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Q: A. POWER SERIES SOLUTION OF DIFFERENTIAL EQUATIONS 2. y"+2xy'+5y = 0

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Q: Use the tabular method to evaluate the integral |(* + 2x – 1) cos(4x)dx

A: Given:∫(x3+2x-1)cos(4x)dx

Q: If f(p) is the Laplace transform of f(t) and a>0, then e" f(p) is the Laplace transform of…

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Q: Q3: (A) Prove that 1. There is no simple group of order 200. 2. Every group of index 2 is normal.

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Q: Use the tabular method to evaluate the integral * + 2x – 1) cos(4x)dx

A: In tabular method we make a table for derivatives of first function and integrals of second…

Q: 4. Interval 0<x<n, function, f(x) = sin 2x. %3D

A: We have to find the Fourier series of the function fx=sin2x ,x∈0,π

Q: A function g(z) is strictly increasing if g'(z) > 0 on its domain. Assume the supply and demand…

A: The supply function is specified in the problem Qs=SP,T Price (P) and tax (T) on the other hand are…

Q: For Problems 4 – 6, compute the indicated power. 4. (-v6 + iv2)* 5. [vZ (cos + isin ) +i sin- 6. (-…

A: #4 and #5 evaluating by polar form, and #6 is solve by Cartesian