(b) Given the set S = [-1,1] and the function g: S→ R defined by g(x) = that g is one-to-one, and find g(S). X 1+x²7 2, prove

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A: We have to find the nilpotent and idempotentent element of R.

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Q: 2. (a) Find the unique polynomial of degree 2 or less such that f(0) = 1, f(1) =3, f(3) = 55 using…

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Q: 11. Find the equation of a positive cosine function graphed below with the smallest phase shift…

A: Hi! Thank you for the question As per the honor code, We’ll answer the first question since the…

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Q: Solve for x.

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Q: 4. In some states,license plates consist of 3 letters followed by 2 or 3 digits (for example, JWK-…

A: Given: 4) License plates consist of 3 letters followed by 2 or three digits. To find: How many such…

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A: This question is from ring theory of abstract algebra.

Q: 1) For ellipse, consider the following graphs 0 O Please use your own words to summarize the…

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Q: xample 8.19. Use Romberg's method to compute ax correct to 4 decimal places. 2 0 1 + x²

A: Solution :-

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Q: 3. Use Laplace transforms to solve y+3y=1351 24 y(0) = 6

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Q: Q2: Find any local maximum, local minimum values, concave up, concave down, increasing, decreasing…

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Q: 1 A=-1 -1 1 1 1 det A =

A: The following steps are used to obtain the solution. Enter the matrix A at the MATLAB prompt ≫. Use…

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Q: Using fixed point iteration, find the first approximate root of the equation cos x=3x-1 up to 4…

A: cosx = 3x - 1 x0 = 0

Q: Problem nas Find ypt y" - 4y +4y урт 9.5e²+ = +² +1

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Q: Example 8.28. Apply Simpson's rule to evaluate the integral p26_p4# dxdy 1=5₂8 5²4 I xy

A: To evaluate the integral I=∫22.6∫44.4dxdyxy using Simpson's rule.

Q: 3. Determine if b is a linear combination of a₁, a2, and a3. 2 3 a1 = 1 , A2 = 2 , az = 1 b= 4 1 1 0…

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Q: Draw nullclines and Phase portraits and specify the type of equilibrium points using phase…

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Q: By using Newton Raphson Method, the repeated root of 4x^3-8x^2-3x+9=0 using 2 as Xn  is? 1.6…

A: Given equation is4x3-8x2-3x+9=0xn=2The repeated root of the above equation is determined byNewton…

Q: Evaluate the following integral: JIS [xlnytan z dV if S = {(x, y, z) € R³ : − 1 ≤ x ≤ 0, e ≤ y ≤ 2e,…

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Q: DAWN

A: 2. Use the encoding formula y = x+15(mod26) 1. Encode DAWN Conversion of numerical value between 0…

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Q: Find the generalized union and intersection: 3) A = {1,2,3,...} A₂ = {x|x = 22m where m eset of…

A: Given that,Λ=1, 2, 3, ... Λλ=x|x=2λm where m∈set of integers from -λ to +λThe generalized union and…

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Q: 8) Find the Laurent series of f(z) = (z-1)(z-2) b) ·+3+3+3+3+3² +22² +22³ **** + c) .... + I d) NOTA…

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Q: Find the solution. dy sin x x +2y = y(2) = 1 dx , X A y = (4 + sin 2 + cosx²)/x² (B) cy= (3 cos 2x -…

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Q: Example 9.6. The integers 0, 1, 1, 2, 3, 5, 8, 13, 21, are said to form a Fibonacci sequence. Form…

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Q: for a quilt using polygon EQFRGSHP shown.

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Q: Explain two different observations about the graph of y=cosx that prove its derivative is y= -sinx.…

A: Explain two observation about the graph of y=cos x and the graph of y=-sin x to prove that the…

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Q: 4. A security camera is to be mounted on the wall of the downtown Bank of America so as to have a…

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Q: 1. Compute u + v and u-2v where u = -5 and v = T 2

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

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Q: B. Give an example for a function which is a pointwise convergent but not uniform convergent. (Prove…

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