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Q: (c) Let J be the linear transformation from R² → R² which is a reflection in the horizontal axis…

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Q: 5(1) = { 012² 0 Given: f(t): -1<t<1 otherwise

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Q: 3. The sum of the lengths of the two diagonals of a parallelogram is 18 m. One diagonal is 2 meters…

A: Solution : Let the diagonals of parallelogram are d1,d2. and d1&lt;d2 given, d1+d2=18d1-d2=-2…

Q: Find the eigenvalues A1 < A₂ < A3 and corresponding eigenvectors of the matrix -3 12 -407 A = 0 1 5…

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Q: 2. Using Linear Approximation, evaluate √81.4305 using the given function and initial value below.…

A: first we find the x for which the value under square root to be found.

Q: Please answer the subparts d and e. thank you!

A: Solution

Q: 3. The sum of the lengths of the two diagonals of a parallelogram is 18 m. One diagonal is 2 meters…

A: Here we will use two formula  1st Area of triangle  If two sides of a triangle has length a and b…

Q: 5) Use Intermediate Value Theorem to explain why the function has a zero in the given interval.…

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Q: Explain the difference between Finite Difference Approximations and Ricardson Extrapolation methods?

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Q: Find the determinant of the matrix. 2-3 A [2 4 5

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Q: Find the least-squares solution of the system 4/3 x 4 2 -2 4 -27 2 4 12 [E] -20

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Q: Determine length to.

A: # since the lengths AC and FD is not same, so considering the triangles are similar, △ABC≈△DEF

Q: Review the normal subgroups N = {(1), (1 2 3), (1 3 2)} of S3. From these subgroups and groups,…

A: This is a problem of Group Theory.

Q: CAN YOU DO A HANDWRITTEN ANSWER

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Q: Solve the simultaneous linear equations using Inverse Matrix Method. 2x+y=7 3x-y=8

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Q: 3. a) Describe the translations applied to the graph of y= x² to obtain a graph of the quadratic…

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Q: Assuming that out of 200 documents, 40 documents are relevant. A search engine returns 30 documents,…

A: Solution :-

Q: 3. We throw a dice 10 times consecutively, obtaining the results: 1, 1, 1, 3, 3, 4, 4, 5, 6, 6.…

A: Here throw a dice 10 times consecutively, obtaining the results 1,1,1,3,3,4,4,5,6,6.

Q: On the interval [-5,5] (2²³, 2) = -(/ dx = da) ² =

A: Inner product of two functions

Q: 4. Prove that a permutation matrix is orthogonal. 5. Let A = -1

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Q: mial. Let g in F[x]. Then there exist unique polynomials p, 9 in FIX]

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Q: - Evaluate the given integral Q.

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Q: be a field and let f(x) = F be of degree n > 1. Let K be an extension field of F a

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Q: Let T be the linear transformation defined by T(x, y) = (y - 4x, 8x - 3y, -5x - 6y, 7x). Find its…

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Q: 8. Draw the directed graph of the binary relation S on B = { a, b, c, d, e} by S = {(a, b),(b,…

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Q: e) What are the domain and the range for this situation?

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Q: 1-24. An electric winen lifts & weight on the ent of a 3-m sib pole. Determine angle 5.5m you

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Q: (6): z² = pqxy

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Q: The half-life of a radioactive radium is 1650 * years, what percentage of the amount present now…

A: Here first we find rate of decay rate using half life formula t12=-1rln12wheret12=half lifer= decay…

Q: Each of J, K, L, M and N is a linear transformation from R2 to R2. These functions are given as…

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Q: -2 a -1 23 1 b-a 2 1 4 T -cos³x sin ²x 1 -2 - e b+ a e 3-b - 1 2 NO - 1 1 -1 O 2 1 013 4 1 خدم برد…

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Q: Suppose an image is saved as a matrix with a Singular Value Decomposition: A = USVT. Let the vector…

A: Suppose an image is saved as a matrix with a Singular Value Decomposition A = USVT Let the vector s…

Q: Determine angles a, banda...

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Q: Question 1: Evaluate the triple integral [[[ z² sin(x²y)dzdydr 0 4

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Q: Evaluate the given integral Q.

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Q: Laplace Inverse Transform of S-1 3²(5+3)

A: We have to find the inverse Laplace transform of s-1s2(s+3) i.e. ℒ-1s-1s2(s+3).

Q: Determine length to. he D as

A: Congruent triangles have equal parts but here since they are not same , considering the triangles…

Q: Find the centre of mass of the 2D shape bounded by the lines y = +1.1x between x = 0 to 3.1. Assume…

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Q: Which of the following statements represent EXPONENTIAL functions? Check all that apply. The price…

A: Introduction: An exponential function is a mathematical function that can be used to a variety of…

Q: Find integration + dx Cos (x-1)

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Q: The trajectory of a particle is given by the vector function r(t) = (2+³-1.-1² +1+1.-2³-3²-1)…

A: We will find derivative of given vector function to find linear approximation and equation of…

Q: in a graph What is an interval graph ? And give an examples

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Q: 2. Find the Maclaurik a. f(x) = 2. la f ....

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Q: Laplace Inverse Transform of 1 (5+1) (5+2) (5²+25+10)

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Q: Q3. (a) Find the binomial expansion of (1-x)-1 up to and including the term in x².

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Q: Identify whether the following sentences are propos not. If it is a proposition, evaluate its truth…

A: # as per the guidelines we are entitled to solve three subparts at a time ,please resubmit the other…

Q: Prove the absorption law of x + xy = x using other laws of identi

A: to prove x+xy=x x+xy=x1+y use the identity law x+0=xx·1=x hence,  x+xy=x·1+x·y

Q: Let c be a positive constant and a be a variable positive parameter, with a > c. Consider the family…

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Q: Instructions: Comprehensively solve/explain the following. Show complete solutions/explanations. 1.…

A: We shall use wilsons theorem and euler's theorem to solve this problem. The detailed solution is…

Q: d²y Given 2x+8y=0; y(0) = 87; y' (0) = 5. Find y(0.1) and y' (0.1) using dx² h = 0.1.

A: Please see the attachment