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Q: The number of zeros of the polynomial x² + 2x + 3 in Z, is: O None O 1 O 2 4

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Q: B. Coin 1. If a coin toss twice what is the probability getting head? 2. If a coin toss twice what i...

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Q: (D) Let s be an integer such that 1 ss < 104651 and 24578° mod 104651 = 3190 Find s and explain how ...

A: Let s be the integer such that and Purpose: To find the value of s

Q: Theo Corp finds that their profit (in thousands of dollars) when producing and selling x hundred des...

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Q: Let F be a field and f(x) e F[x] be a polynomial of degree > 1. If f(m =0 for some E F. thenf(x) is ...

A: Since α ∈ F, x- α ∈ F[x]. Also f(x) ∈ F[x].

Q: 2. Solve 3x² +10=-26

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Q: 3s-2 2s2-4s+2

A: The given function is                                             3s-22s2-4s+2

Q: Show that the g(x,y) has minimum of 0 in the region 0 ≤ x ≤ 5 and 0 ≤ y ≤ 5, occurring at x =3 and y...

A: It is given that ;                   gx, y = x2+y-112 + x+y2-72   ..............(I) We have to show ...

Q: 5. Find the general solution to the differential equation e-y" = (y')? (where y' = ) dx

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Q: a) Find all cosets of 8Zin Z. b)Find all cosets of 8Zin 2Z.

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Q: 4. Find the solution of the following set of simultaneous equations by ' conditions y(0) = x(0) = 0 ...

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Q: Problem 3. The surface of a dome to be installed on the roof a house can be modelled through the fun...

A: Solution is below.

Q: Recall sA : R" → R is a support function given by SA(x) = sup p•x PEA %3D Let A, B be nonempty close...

A: The given function sA:ℝn→ℝ is a support function defined as: sAx=sup⏟p∈Ap.x (a). Let A,B be non empt...

Q: Problem 2. Let z = a+ bi be a Gaussian prime and a, b > 0 positive integers. Show that its norm N(z)...

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Q: 5. [9] Suppose x is a particular real number, and let p, q, and r symbolize “–2 3

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Q: 2. The figure below shows the region of integration for the integral SSI So *f(x,y,z) dydzdx. Rewrit...

A: This is the problem of multi variable calculus, triple integral.

Q: [x1(t)] [¤2(t). Let x(t) = be an unknown vector-valued function. The system of linear differential e...

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Q: 1. Evaluate by expansion of minors: 10 -3 -2 -4 1 3 2.

A: Determinate of the 3x3, Matrix using minors

Q: 5 In the following linear system, determine all real values a and B for which the resulting linear s...

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Q: Find the distance between the point and the line given by the set of parametric equations. (Round yo...

A: For any queries please let me know through comments.i will try to reply ASAP!!! Please like if satis...

Q: OFind the complete solution of the partial differential equation 2x*p² – yzq – 3z2 = 0 %3D | (ii) Fi...

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Q: For a function f(x, y) at (1, 2), the following are given fx = 20, fy = 24, f(1, 2) = 30, fxx = 22, ...

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Q: 4. Use the Laplace transform to solve the " + 4a' + 4x = 4e", a(0) 0, r' (0) - 1.

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Q: Question 17 which it grows is given by the the equation The mass of a kitten when it is born is 0.2 ...

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Q: CASE 2: F(s) Involves Multiple Poles s2 + 2s +3 Example: Find f(t) if F(s) = (s+1)³

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Q: Solve the IBVP for heat equation. Also find the limit of u(x,t) as t -> inf ut = 3uxx + F(x,t),   0...

A: We are given the following system of heat equation. ut=3uxx+F(x, t),   0&lt;x&lt;1,  t&gt;0u(0, t)=u...

Q: 1 3. lim ed - 1

A: We want to find given limit

Q: Solve the initial value problem: (2x – 3y + 4)dx + (x – 1)dy = 0; y(-1) = 2. %3D

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Q: Consider the differential equation (E): 5. x*y" + x*y'- 4x²y= %3D Given that y, = x² and y2 = are 2 ...

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Q: Find the solution of the equation cos y which teds to zero as r 0o and has she valne cos v vwhen r=0

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Q: QUESTION 4 Find f(t): s(s+1) + ) (t- f(t) = +(1

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Q: Problem 1. Consider the function of several variables f (x, y)= 4 +x² +y° a. Describe verbally what ...

A:  Given, f(x,y)=4+x2+y2 . (a) To Compare it with the graph of one variable and to explain an expected...

Q: A rectangular plot of land is to be fenced in using two kinds of fencing. Two opposite sides will us...

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Q: Find the probability that either a 6 or 7 will be obtained in one toss of a pair of dice.

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Q: What is the surface area? 5 yd 4 yd 5 yd 9 yd 6 yd square yards

A: We have to find the surface area of the triangular prism. The prism has 5 surfaces.

Q: Find the area of the region bounded by the given curves and find the volume of the solid formed when...

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Q: 2. Let the rref of a matrix A be, (1 0 2 0 -2 0 1 -5 0 -3 0 0 0 1 6 Determine A if the first, second...

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Q: Use a direct proof: p is a prime # and x ∈ Z. If x2≡x (mod p) then x ≡ 0 (mod p) or x ≡ 1 (mod p). S...

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Q: Express the following expression trigonometric ratio and the evaluate to an exact value.(: 5- as a s...

A: Given expression is f(x)=8cos2π6-4 Now, We cab write it  as f(x)=8cosπ3-4              (1)

Q: BE BT If TN BU 4. then TU || NE. UE N° E

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Q: Let X = {2, 4, 6} and Y = {a, b, c, d}. Define g : X → Y by the following arrow diagram. Y 00 2 а. C...

A: Sets theory, domain and co- domain

Q: 1. For each number, name its opposite. a. -5 -510 0 = 1012 b. 28 C. -10.4

A: Rational Numbers: All the numbers which can be written in the form of pq. Here, p and q are integers...

Q: OXEQ 1XEQ is not Riemman integrable

A: We have given function ,  f(x) = 0 , x∈ ℚ1 , x ∈ ℚ' We need to show that , f is not Riemann Integrab...

Q: Questions Q1. Find the volume of the solid that is obtained when the region enclosed by the curves y...

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Q: 10- A cosine function has a maximum value of 1, a minimum value of -5, a phase shift of t/4 to the r...

A: Let equation of function  f(x)=aCOS(2x+π/4)+b

Q: 2. Let char F = 0 and f(x) E F[x] be a monic polynomial having positive degree. If d(x) = gcd(f(x), ...

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Q: 8. Determine if the given vectors below span R'.I 9. Find a set of vectors spanning the null space o...

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Q: Prove that a group of order 7is cyclic.

A: Solution:-

Q: 16. Find mZV. T. (9x – 19)° 111° (7x +3) (5x + 8)° 128° W

A: Find the Value of x, using sum of all angles in a hexagon is 720°

Q: Find the norm of x and the unit vector ü in the direction of x if ||| = u =

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