Use the trapezoidal rule with five intervals to evaluate the integral i √√√-1da, correct to four decimal places.

Q: Show that if b0 = 0, then (g^xm)≡ 1 (mod p). Q2: Show that if b0 = 1, then (g^xm) ≡ p − 1 (mod p).

A: Given: x is a number in the set {0, 1, . . . , 2t} x written as: x = b0 · 20 + b1 · 21 + b2 · 22 + ·…

Q: Q2\ Prove the following identities sin 20+cos 20+1 a) = cote sin 20-cos 20+1

A: Here given equation   sin 2θ+cos 2θ+1sin 2θ-cos 2θ+1=cot θ

Q: Find the وال dx² Please solve in a quarter of an hour please 9(0) = 1 g(0)=2 dy-129=0

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Q: (10) Suppose that the transtormation given by u=2x-g is used on the н наад) A where D integrat…

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Q: Exercise 0.3 Suppose that vaccination strategies are implemented for newborns, so that not all…

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Q: Solve each system + y +2= y +14: x + 2y x a) (3x 11 non 11 6 = -5 (2x + b) 3x + y +2: = 3y + " 11 17…

A: We need to solve the system of equations given in part a) and b) We will use elimination method to…

Q: 30 18/13/50/2140/97 (20 130 135 135 1 25) this The arithmetic mean of the following data

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Q: Let A = {4, 5, 6} and B = {6, 7, 8} and let S be the "divides" relation from A to B. That is, for…

A: Here given sets A = {4, 5, 6} and B = {6, 7, 8} and relation defined asxSy⇒x/y means x, y∈S⇒x…

Q: V = M ₂x2 (IR) let M = { A€ V A = A} N = {A = V A = - A^²} Subset of the vector space V The answer V…

A: To prove  V=M⊕N we need to prove  (i) V=M+N and  (ii) M∩N=0

Q: Find the minimum value of the objective function z = 6x + 4y, subject to the following constraints.…

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Q: Find the maximum and minimum values of z = 5x + 6y, subject to the following constraints. (S 6x + 8y…

A: maximize and minimize z=5x+6y subject to 6x+8y≤30015x+22y≤330x≤40, y≤21x≥0, y≥0

Q: Let the vector V have an initial point at (-3, 5) and a terminal point at (1,7). Plot e vector V and…

A: To find the given components of the vector v .

Q: A square matrix is a necessary condition for which of the following. Choose all that apply: An…

A: A  is identity matrix if all the diagonal entries is 1 and non diagonal entries is zero  Addition of…

Q: P-5 Solve the Heat equation subject to the given condition Assume a rod of length L u(0, 1) = 0,…

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Q: 11+12/mod 13) mod 13

A: We have to add to find the value.

Q: Set up an iterated (double) integral in polar coordinates that gives the volume of the solid bounded…

A: Solutions

Q: Let T:P2 →M be defined by T(p(t))=[p(1) p(1) p(1) p(1) p(1) p(1)], where P2 ={at2 +bt+c,where a,b…

A: Given : T : P2 → M  defined by ;   Tp(t) = p(1)p(1)p(1)p(1)p(1)p(1) ,  where  P2 = at2+bt+c : a, b,…

Q: Use trial and error to find all replacements for x that are less than the modulus that make the…

A: To find- Use trial and error to find all replacements for x that are less than the modulus that make…

Q: a) Determine whether S = {(1,0,-1), (2,1,0), (3,1,−1), (1,1,1)} spans R³. b) Find all c ER for which…

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

Q: 4. Let S = {a, b, c, d, e, f, g, h} and T = {b, c, d, f,i,j}. a) List the entries of the set S-T,…

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Q: 2. (Short-run costs, Evren wants to go into the donut business. For $500 per month he can rent a…

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Q: Find the Taylor series of  f(z) =ln z  with center 2i

A: The Taylor Series of fx centered at x=a fx=∑n=0∞ fnan!x-an

Q: A new test has been introduced to detect diabetic. If a person has diabetic, there is 85% chance…

A: We have to use Bayes theorem

Q: 17) Find Possible Positive, Negative or Imaginary Zeros. f(x)= x³ - 2x²-5x + 6 Count the number of…

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Q: d) (q^t) ^ (p ^ c) where t is tautology and c is contradiction. р q T T T F T F TF F F LL

A: To find: the truth table.

Q: Prove: if limx→a f(x) = L, and limx→a g(x) = M, then lim f(x) g(x)=LM. x→a

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Q: 1 0 3 7 10 12 (days) r(1) (centimeters per day) -6.1 -5.0-4.4 -3.8 -3.5 4. An ice sculpture melts in…

A: According to intermediate value theorem if a continuous function, f, with an interval, [a, b], as…

Q: Suppose F(2) = 1, F(8) = − 1, and F'(x) = f(x). - 10 [ f(x) dz = 10

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Q: Assume that A is an odd order skew symmetric matrix. Prove that det(·) is an odd function in this…

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Q: Prove that a permutation matrix is orthogonal.

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Q: 1. Solve the following systems Ax=b by Gaussian elimination without pivoting: 1 1 -1 a) A= 1 2-2 b=0…

A: We have to solve the following systems Ax=b by Gaussian elimination without pivoting. a)A=  1 1-1…

Q: An airplane has an airspeed of 500 km/h. The pilot wishes to fly to a destination the the plane's…

A: Formula for resultant of two vectors R=A2+B2+2ABCosθ where A represents magnitude of A and θ is the…

Q: Write the first four terms of the sequence: an = 3n + 4 . If a1 = 2 and a3 = 8 of an arithmetic…

A: We have to write the first four terms of the given sequence. Then, we can proceed further.

Q: Discuss find following surfaces and Traces. the intercepts and их 4x₁²² + 4y₁² + 2² -16=0

A: Intercept: In a three dimensional space, an intercept is a point on the graph of the quadric surface…

Q: 3. Consider a predator-prey model, z (r-ray), r r, K, a>0, (1) y(-b+cz), b, c> 0. (2) The variable z…

A: Given: The predator-prey model, dxdt=xr-rxK-ay, r,K,a>0 dydt=y-b+cx, b,c>0 Here, the variable…

Q: Q1: Show that A × Adj(A) = Adj(A) × A = det(A) XI -10 3 Q2: Given A = 1 3 4, compute the inverse…

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

Q: On the coordinate plane below, sketch the equal position vector to the given vector. PENCIL THIN…

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Q: Express the perimeter of the equilateral triangle as a sum Express the perimeter of the equilateral…

A: Are large capabilities of -dimensional shapes in arithmetic. The perimeter of a form is described…

Q: b) Converse of q → p р q T T TFF F 8T T F T F LL

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Q: Use a proof by contradiction to show that the difference of any rational number and any irrational…

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Q: Q.3 Show that Je dx=r

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Q: Determint the function in the interval fourier series f(x)=2x-20 of the in the -3<x<3

A: As per the question we are given a periodic function f(x) = 2x - 20 for, -3≤x≤3 And we have to find…

Q: 0 10 0 0 1 0 0 0 0 0 0 0 0 0 ω Ν -3 0 0 2 1 0 0 3 0 1 -1 2 0 0 0 0 0 0 0 0 X1 X2 X3 ΧΑ X5 Χ6 Χτ = 32…

A: Given that, Convert the matrix term into system of equations.…

Q: Solve the initial value problem.

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Q: If the zeroes of a rational function has 2 real, and 2 imaginary roots, then the number of the…

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Q: - Let X = {a, b} write a large Topology on X.

A: According to guidelines i solve first question only so kindly request you to repost the remaining…

Q: Attempt 14 Identify the functions f and g such that lim f(x) does not exist, lim g(x) does not…

A: Introduction: A limit is the value that a function (or sequence) approaches when the input (or…

Q: Find the probabilities of the following questions: For example, the average temperature of New York…

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

Q: Your company are designing metal trays. They will be made out of a sheet of metal which has a…

A: Perimeter = 80 cm square of side = 2cm Thus Length = x - 2y = (x - 4) cm height = y = 2 cm Let width…

Q: The matrix. ^-[3] 3. A = has an eigenvalue of multiplicity 2 with corresponding eigenvector 7. Find…

A: Here the given matrix is                                  A=3-14-1 We have to find the eigenvalue λ…