- 4 -1 3 4 -1 - 8 5 - 2 4 Find det(B) by the row 1 5.

Q: 1. Find the limits lim (3x – 1) x-1/3 a) | cos x b) lim x 1 - T lim y--5 5 - v c) 3h +1 - 1 d) lim h...

A: according to our guidelines we can answer only three subparts, or first question and rest can be rep...

Q: 2. Suppose a1 > 0 and an+1 = an + 1. Prove that {an} diverges to o. Hint: Assume an An converges to ...

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Q: The following data given are collected from the experimental measurement on the electrical circuit w...

A: The current and voltage table after taking the value of Id=0.5 is as follows: i vi 0 1 1.2 4....

Q: Consider the Following matrix A= 2 3 4

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Q: Recall that for D a squarefree integer, the norm function N on Q[VD] is defined by N(a + bVD) = (a +...

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Q: How many integer solutions are there to 1 +X2+X3+X4+Xs=31 with

A: Given, x1+x2+x3+x4+x5=31 Number of Solutions when xi≥0 and xi>0.

Q: EXERCISES 1.1 Dr. So ners aa Solve the systems of equations in Exe 2. 2х - se). F nterest ks au incl...

A: Since you have posted a multiple question according to guildlines I will solve first question for yo...

Q: A radioactive material went through a decaying process as given in the following function f(t): f(t)...

A: If the input variable t of a function changes, its output also changes. In this problem, the decayin...

Q: A property that measures 5 hectares is for sale. a. How large is the property in acres? b. If the pr...

A: Property available : 5 hectares and we know  1 acre= 0.4 hectares therefore 1 hectare = 10.4 acres  ...

Q: polynomial in V2+i and compute the conjugates of i over Express i as a Q(/2 + i).

A: As per the question we have to express i as a polynomial in (√2 + i) and then compute its conjugate ...

Q: Determine which is a function from x to y. {(d,a), (a.a), (e,b), (b,c)} {(2,1), (5,2), (5,3), (6,4)}

A: The solution is given as

Q: find the missing terms in each of the following number sequence

A: First take the difference of two consecutive numbers of the sequence and find the pattern.  

Q: Consider the Following matrix 1. 2 3 4 A= m. c) Find the Pollowing Funchion f A. Sin (At)

A: Here we will use the series expansion of ex and sin(x)

Q: Given the following linear system of equations below: x + y+z = 10 x - y + 2z = 12 x- y - z = 14 a. ...

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Q: 3. Irrational Prove using a proof by contradiction that the product of a nonzero rational number and...

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Q: ow that if T : Rº → R° has 6 distinct eigenvalues and S has the same eigenvectors as T, then ST = TS

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Q: Show that there are infinitely many primes of the form 4k + 3.

A: We have to show that there are  infinitely many primes of the form 4k+3.

Q: For questions I- 4, Type T if your answer is true and F if your answer is false. 1. Points A, B & H ...

A: according to our guidelines we can answer only three subparts, or first question and rest can be rep...

Q: L As only 3 students came to attend the class today, find the probability for exactly 4 students to ...

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Q: A one-meter long bar is heated unevenly, with temperature in °C at a distance a meters from one end ...

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Q: In Exercises 51-56, find the lim that the limit does not exist. x'- xy? 51. f(x. y) =

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

Q: 1*) Let X = {1,2, 3}, Y = {2,3, 4}, and Z = {1,2}. (a) Define a function f: Z → X that is one-to-one...

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Q: (b) Find the solution for cos(x)- (1+x?) – 2xy = with the conditions 1+x2 y(1) = -1, y(2) = 2 and h ...

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Q: A polluted pool has an initial concentration of bacteria of 10* part/m3, while th acceptable level i...

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Q: solve question (d) with explanation asap

A: For a function of the form: y=f(x), the independent variable is x and the dependent variable is y. T...

Q: {[i :]:[ 1 0 0 0 ; :]:[: :)-[: :]} 1 1 1 0 1 1 - Let B a basis for M2(R). = 0 0 1 1 Find the coordin...

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Q: Let a E K and let f(x) E K[x]. Prove that the remainder when f(x) is divided by x – a is ƒ(a). (Hint...

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Q: If A = and if xy = 1, then det ( AAT) is equal to y

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Q: . . Evaluate (a) (b) - 4 (c) 2j13

A: Complex numbers and multiplication

Q: Solve for the Maclaurin series expansion of ex and use the series to evaluate e0.77. What is the of ...

A: The solution of given problem is followed by

Q: Use the table, along with dimensional analysis, to con 2168 in to gal gal (Round to the nearest hund...

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Q: Let L : R5 → R³ be a linear transformation defined by - æ3 L x2 - x4 15 Which of the following is NO...

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Q: When developing an exam schedule, the following data were collected from the grade 12 students: 90 s...

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Q: 6. Using the previous result, solve the system of equations 2x + z = 2 y = 8 x + 2y + 3z = 4 %3D

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Q: Consider the Following matrive A= 2 3 4 a) Find all the egenalues and eigenvecors

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Q: Provide a proof by contradiction of the statement below.

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Q: Use the given information to provide a direct proof of the statement below. Prove that the product o...

A: Product of two odd numbers is an odd number .

Q: Q3/ Determine whether the following functions are harmonic or not. 1. 3xy + 5xy2- 2y3 2. 3xy + 2x - ...

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Q: a) Determine the eigenvalues and eigenvectors of the following matrix. -2 1 -4 3 16 -4 1. 調--0 2

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Q: 10. 2r"(t) – 2r'(t) – 4x(1) = 2e

A: The solution is given as  

Q: 2. Even and Odd (a) Use a direct proof to show that the sum of two odd integers is even. (b) and n, ...

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Q: By setting up and solving an appropriate system of linear equations, determine whether there is a pa...

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Q: defined are the relations ≡6 and ≡10 to be certain subsets of Z^2 . Their intersection R = (≡6)∩(≡10...

A: A relation R on a set X is a subset of X×X. That is R⊆X×X. (b). Let ≡6 and ≡10 are two subset on the...

Q: Question 5 Consider the set A = {(u, v) E R² : u² + v² < 3}. %3D Then, the area of the surface o : A...

A: Now, the area of the surface over the region A is calculated by   Area=∫∫A u2+v2 dA     Where u=r co...

Q: A polluted pool has an initial concentration of bacteria of 10* part/m2, while the acceptable level ...

A:

Q: b) Find the transformahón to reach diagonal form. a

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Q: Determine the real root of f(x)=5x3-5x2+6x-2. Iterate until the estimated error falls equal to or le...

A: To find the root of a continuous, differentiable function f(x)If  root  lie near the point x = x_0x=...

Q: Question 5 The closed path integral of the vector field F(x, y) = %3D 2x2 + y?' 2x² + y? along the e...

A: D is correct answer. 

Q: Find the coordinates of vector u=(4,5) with respect to linear basis ((2,1),(1,-1) ? a. 2 b. 3 • 2 O ...

A: Here we use linear combination to solve this 

Q: Determine the general equation of a parabola opening downwards whose vertex is at (3,-4) with a latu...

A: