2p The graph of one complete period of a sine function is given. Find the amplitude. 6 Find the period. 2pi Find the phase shift. 0 Write an expression of the form a sin(k(x-b)) which represents the function. y sin x

Q: ind the determinant of the matrix A Copy 0 a 4 12 2 by row reducing. 3

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Q: 5. Explain why three linearly independent vectors u,v,w in R³ form a basis for R³. (Hint: Consider…

A: Basis of a vector space :                               A non empty sub set S be a basis of a…

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Q: 7. Find the lateral surface area of the cylinder y =√√9-x² over 0≤x≤ 3 that lies above the xy-plane…

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Q: Find the distance between u and v. u = (0, 2, 1), v = (4, -1, 1) d(u, v) =

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Q: Let u(1) = (x(1), y(y), z(1)) be a curve in 3-space, i.e. a function u: R→ R³, and consider its…

A: Let ut=xt,yt,zt be a curve in 3d space and its derivative is dudt=dxdt,dydt,dzdt. Given that…

Q: Find d[[(4x + 5y)dA where R is the parallelogram with vertices (0,0), (2,5), (-4,4), and (-2,9). Use…

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Q: 1. Find the eigenvalues and a basis for each eigenspace in C². A 3

A: Given a matrix A=1-213 We need to find its eigenvalues and eigenspace in C2

Q: ppose A, B, C are sets. Prove that (AUB) - C = (A-C) U (B-C). oof.

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Q: To show this, let f, g be polynomials in R[x] such that g-f = (x-3)h for some polynomial h in R[x].…

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Q: 1. Let B = 3 {B][F][C])}---E] and x = 3 -3 0 a. Show that both B is a bases for R² -8 3

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Q: Use periodicity to first rewrite each expression as the same trigonometric function of an angle in…

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Q: Question 18 Draw the transitive closure of each graph. (a) 4 2 3

A: We have to give a graph. And we need to draw its transitive closure.   Transitive closure: Given a…

Q: Prove convergence or divergence of (Using Comparison tests) √1+x-1 S² V² + 1 =-=-11-2² Show and…

A: As per the question we are given an improper integral and we have to cheak its convergence using…

Q: 3. Consider the eigenvalue/boundary value problem for y(t): − 3y" + xy = 0, y′(0) = 0, y' (√3)= (a)…

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Q: 4. Consider the unsorted list of numbers: List L: 1, 2, 3, 9, 4, 0 A. B. C. Show the trace of…

A: Selection Sort is a simple sorting algorithm that works by repeatedly finding the minimum or maximum…

Q: find range of the following function log_(4)|x+(1)/(x)|

A: We have to find range of the given function.

Q: If the​ mean, median, and mode are all equal for the set {10, 20, 30, 60, x}, find the value of x.

A: ​We have to find the value of x such that mean, median, and mode are all equal for the set {10, 20,…

Q: Find approximate value of the following integral exp(x²)dx for a=0; b=3. use 3 points Gauss…

A: The given problem is to approximate the value of definite integral over the given interval using 3…

Q: Q₂) Use simple Euler method to solve the following differential equations 1 (iv) y'=-y; y(0) = 1, x…

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Q: The eigenvalues of the coefficient matrix can be found by inspection or factoring. Apply the…

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Q: 7. Let u be transcendental over F and F< EC F(u). Show that u is algebraic over E.

A: Algebraic field

Q: 3 to solve. His work is shown at the right. His 8) Ricardo was given the equation + ² = teacher told…

A: We see the actual equation was       3/x2 + 5/x = 1/2  Ricardo then multiplied the above equation by…

Q: a. Compute the outward flux across the quarter circle C: r(t)= (14 cos t, 14 sint) for Osts ¹2 The…

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Q: Write the differential equation (unlimited, limited, or logistic) that applies to the situation…

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Q: Determine 1. OneN[-2, -2+] and 2. ₂EN(-2,-2 + 1/2]

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Q: Find the value of 30^(3)+31^(3)+dots +79^(3)+80^(3) Your answer

A: The expression is 303+313+...+793+803.

Q: Given the following premises: (1) Vx (R(x)→ S(x)) (2) -S(c) Use modus tollens to derive the…

A: The given first premise is       ∀x (R(x) → S(x))  Then, for the particular case of x = c,…

Q: 0 D The diagram below shows a directed graph. Answer the following 5 questions based on this…

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Q: The first derivative of f(x) = 10x³-3 √(5x4-6x)3 A. C. (3-10x³)√(5x4-6x)³ 1 √5x*- 6x will be B.…

A: The given function fx=15x4-6x. We have to find the first derivative of the function.

Q: What is the z transform of x(n) = 1, 0≤ n ≤ 5 a. z1+z²+z³ + 24 + z-5 b. z+1+z1+z²+z³+ z-4 1+z+z²+z³…

A: The Z-transform is a mathematical transformation used in digital signal processing to analyze and…

Q: (5) Write nª 6n³ +10n² +3 as a “falling polynomial." (That is, a sum of constant multiples of…

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Q: Prove that the following claim holds when for all n ≥1 n(n+1)(n+2) 71 Σ(i²+i)= 3 i=1

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Q: 2. If a, b E K are algebraic over F are of degree m, n, respectively, with (m, n) = 1, show that…

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Q: (5) Let dS=Sdt + 2SdW and let Z(t) = S(t)³. What is the SDE for 2? The following answers are…

A: We are given Z = S3  Then,          dZ = d(S3)                = [d(S3)/dS].dS               = 3S2dS

Q: 1. Find the greatest common divisor of p(x) = x³ + 6x2 + 6x +5 and g(x) = 23x²-x-2. Does your answer…

A: To find the gcd of p(x) and q(x), we can use the Euclidean algorithm: First, p(x) /q(x) and  we get:…

Q: Assume an, bn, cn are sequences. Prove the following deduction: a_n → 7, b_n → 3, |c_n − 18| < 4|a_n…

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Q: Suppose f: R → R is defined by the property that f(x) = x + x² + x³ for every real number x, and g:…

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Q: Average Income 19320 17554 17310 15589 15266 15078 12749 9351 8866 4952 3627 3412 2554 2296 1871…

A: Average income, X Average Life Expectancy, Y 19320 76.25 17554 75.3 17310 78.65 15589 75.51…

Q: Find the work done by F = 3xy³i+ 8x²y²j in moving a particle once counterclockwise around the curve…

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Q: 1. a) Simplify the following expression in Z/13Z.  ((11) ̅- (3) ̅ ) · ((15) ̅+ 9 ̅)^2 · ((4) ̅+ (6)…

A: The operations in Z/nZ (i.e., modulo n) are defined as follows.        X̄ + Ȳ = (X + Y) mod n…

Q: Q₁) Use Taylor's series method to solve the following differential equations dy 1 -y=0; y(0) = 1, x…

A: dydx=y2y0=1x=00.1 1

Q: Give example or show that this thing doesn't exist a. A 3x3 real matrix with exactly one complex…

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Q: Define ime a function T: P3 → P3 and π(p(t)) = + pl(t). a. Prove T is a linear transformation…

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Q: Define P(n) to be the assertion that: What is the value of P(3)? n(n + 1)(2n + 1) 6

A: The assertion P(n) is defined as        ∑j=1nj2=n(n+1)(2n+1)6

Q: The following table shows the length, in centimeters, of the humerus and the total wingspan, in…

A: The given data, Humerus, x Wingspan, y 24 32 22 17 13 4.4 3.2 1.5 20 27 15 15 9 4.4 2.9 610…

Q: Given the following vector field and orientated curve C, evaluate F= (x,y) (x² + y²) 3/2 on the…

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Q: Find the line integral of f(x,y) = ye* along the curve r(t) = 5ti- 12tj, -1st≤0. The integral off is…

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Q: Suppose f: R → R is defined by the property that f(x) = x cos(x) for every real number x, and g: R →…

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Q: There are seven multiple-choice questions on an exam, each with five possible answers. (a) Determine…

A: Total number of question = 7 Each question has 5 possible answer