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Q: Let 3 21 Г1 —2 A = 3 -6 9 6 Describe all solutions of Aa = ở. +x4 +x3 i = x2

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Q: Show that x and 2 are coprime in Z[x]

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Q: what is the Corgraent in th bmominl expunsion of (3x+6)° binomial expansionm of

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Q: Home Work E use L.S. M to Rit a straight Line for the data shown below:- X:12314IS161718191101 11.…

A: The equation of least square straight line is y=a+bx and the normal equations are,…

Q: 1. Apply Maclaurin's series to establish the power series of tanx.

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Q: Suppose that on the interval I, f(x) is positive and concave up. Furthermore, assume that f" (x)…

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Q: Given the differential equation y' = 3y e2 and y(0) = 4 1. Use implicit derivatives to find " y" ",…

A: Given differential equation is y'=3y e2x    and   y0=4 Also, y'0 = 3y0 e20             = 34 1=12…

Q: 0 < x <1 1< x < 2 2 < x< 3 1- x at Given the function f (x) = at (2 – x)? at Check directly that the…

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Q: 4 Newten's method to find all Use in tersecticns of y= x² and y= z' = 2². The emer in the es…

A: Given curves are y=x2   and   y=2x For point of intersection,  x2 =2x Now, we have to find that…

Q: 2. Consider the function f(x) = 3x + 2x2 over the interval [0, 1]. a) Use finite sums to approximate…

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Q: 5.6.3. Let f(x) 16 interpolation points. Then, plot f(x) along with the resulting (real)…

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Q: 3. Find all solutions to the equation (D² – 3D + 2)y(x) = 2e3ª.

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Q: Orthogonally diagonalizable the following matrix 2 1 1 C = -1 1 1 0 -1 1.

A: The solution is below.

Q: ) If we substitute the polar coordinate x = r.cos0 & y = r.sin0 continuous function w-f(x,y) that…

A: Here we use basic chain rule to Show this

Q: The sum of the series CO Tn+1 (-1)" 32n+1(2n)! n=0 cos B) cos (). C) cos (E) A) CoS 3 - TC 3 COS D)…

A: cosx=1-x22!+x44!-...   (i)∑n=0∞-1nπn+132n+12n!=π3-π2332!+π3354!-...=π31-π322!+π344!-...using…

Q: x3y" – 5xy' + 9y = 0 -3x y" + 5y' + 4y = 10e %3D

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Q: Problem 4: Consider the set of polynomials {2+ t, 1 – 5t}. Let p¡(t) = 2 + t and P2(t) = 1 – 5t. Let…

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Q: Hw.4. squar bare If base side ir measured with error at 2% and the height is measuredwith errur at…

A: To find the percentage error in computing the surface area and volume of the rectangular box with…

Q: Find the canonical prime factorization of this using Fermat’s Method and solve for the Number of…

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Q: If the rational number r is also an algebraic integer, prove that r must be an ordinary integer.

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Q: You have a choice of two accounts in which to invest your money for one year. Account A pays 3.6%…

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Q: 9. Using the notation of the previous problem, prove that for sets A, B, C, DE P(X) AAB = CAD → AAC…

A: First we take forward part and take an element in A∆C and show that it is in B∆D and then take…

Q: Consider the problem of determining whether the following system of equations is 2x1 – 4x2 - 2x3 =…

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Q: The value of k such that P2(1) = 2.8 , 2 k 4 1 Is

A: Lagrange's interpolating polynomial is:…

Q: Find the matrix A of the linear transformation T from R2 to R² that rotates any vector through an…

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Q: Determine ar and y such that 4 -6] 4 2x + y [4 4 -4] x – y 0 -27 0 2 1 4 3

A: To determine the values of x and y.

Q: Compute the following: -6 9 -87 7 -8 -1 3 4 + -5 -6 6 -8 1 8 4

A: Let us consider two matrix A and B Sum of the matrix exists if matrices are of same order Sum of…

Q: Find the eutre me points of the Following Function. Fleugy)orn'. 12 ay+8y

A: Given function is fx,y=x3−12xy+8y3. We have to find the extreme points of the given function.…

Q: Question 6 Amy is a chocolate lover and has a total of 50 dollars to spend this week. The price of a…

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Q: find the afPkoximate Vatue of: (3.01)*+(5-98)²+(2.03)?

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Q: In finitude of 3, Re call Eudids proof of Show that T Cx): = 1{ ps X: p-pinae } 12 logz logzCK). prm…

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Q: Q3/ The value of k such that P2 (1) = 2.8, k 4 1 2 Is

A: P2(x)=(x-k)(x-4)(2-k)(2-4)×0+(x-2)(x-4)(k-2)(k-4)×1+(x-2)(x-k)(4-2)(4-k)×22.8=(1-2)(1-4)(k-2)(k-4)×1…

Q: 2. Solve for the linear system 2x + y + z = 2 y + z +w = 2 x + y-z = 0 x + 2z – w = 1

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Q: 3. Expand cos'x as a series of ascending powers of x. OS

A: To expand cos^2x as a series of ascending powers of x.

Q: Q3/ The value of k such that P2(1) = 2.8, 2 4 |0 1 2 Is

A: We can use the divided difference formula to find the value of k.

Q: [3 2 A = 26 find the general solution of 4 y' = Aỹ + g, g = =

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Q: 11. to help pay for new costumes for a play, a theater invests $1900 in a 42-month Cd paying 3.6%…

A: Compound interest = total amount of principal and interest in future (or future value) less…

Q: f(x) = cosh(x); -T <x< T etch the function. Determine whether it is even or odd. Expand it in an…

A: Expand the given function in an appropriate Fourier series.

Q: а), J: Find the length of the curve y=3/7 x, 0<x<3 Length= ]: Find the area of the surface b)…

A: Let us consider the function y=f(x)  The length of the curve in the interval [a, b] is obtained as…

Q: Without solving the exact answer, calculate sin(2) by evaluating up to six terms of Maclaurin series…

A: For the solution follow the next step.

Q: 2. In each of the following, prove or disprove that B is a basis for P3, the vector space of…

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Q: A manufacturer can produce at most 100 units of a certain product each year. The demand equetion for…

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Q: considek aClosed rectangutar box with a How.4 squar bare If base side ir measured with error at 2%…

A: To find the error percentage while calculating the surface area and volume of a rectangular box .

Q: Compute the following product. -4 -6 8 [9 -7 -3 4 -4 3 4 -4 1 2 1 -2 9 1 7 || 4.

A: The given product is   9-7-31234-1-4-685-944-4-4121-2917 To find the above product we will use the…

Q: H.w: Find the LT of the following functions: 1- f(t) = sin³t 2- f(t) = (t² – 5t + 6)e²t 3- f(t) =…

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Q: Let T : R? → R² be a linear transformation that sends the vector u = (5, 2) into (2, 1) and maps v =…

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Q: Consider the function f(T,y)= kr - 2xy + y?. %3D 1. Show that (0, 0) is a critical point of f(T, y).…

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Q: Apply Maclaurin's series to establish the power series of tanx.

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Q: Find 23 + 8i (а) lim z-2i z2 + 4

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

Q: Solve the given system of linear equations using the Gauss-Jordan elimination method. x + 2y – 3z =…

A: The solution is given as