For each of the following, determine whether the given numbers represent lengths of sides of a right triangle: a. 10, 24, 16 b. 16, 34, 30 c. √2. √2,2 d. 345 2 2 2

Q: 4. y"+y=t-u(t-1)t y(0)=0 y'(0) = 0

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Q: 2. Compute [fs xy dS, where S is the surface of the tetrahedron with sides z = 0, y=0, x+ z = 1 and…

A: We have to Compute ∫∫S xy dS, where S is the surface of the tetrahedron with sides z = 0, y = 0, x +…

Q: Let R be the region enclosed by the lines - 6y=0, x=6y=8, 2x - y = 6 and 2x - y = 9. (a) Find the…

A: Let R be the region enclosed by the lines2x - y = 9x - 6y = 0, x - 6y = 8, 2x - y = 6and(a) We have…

Q: Use the convolution theorem to obtain a formull y"+y=g(t): y(0)-0. y(0)-3

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Q: Find the Maclaurin series for f(x) = 1/(6-x-x2) and determine its radius of convergence. You must…

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Q: Use the limit comparison test to determine whether (a) Choose a series bn with terms of the form bn…

A: Given sqence is Here

Q: 15 If square OABC is rotated 18 about its center, what will th dinates of O be?

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Q: We know that the harmonic series has a growth rate comparable to In n. Let an = 1/2 and defin a new…

A: Now, let’s consider the sequence (tn) defined by tn=sn−lnn=1+1/2+…−1/n−ln(n), where s_n is the nth…

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A: Given, system of differential equations,

Q: exponential functio

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Q: (e) Ray limited has three divisions which produce product A, B and C. The current survey, in 2021,…

A: Given Information:Survey on the demand and supply of Ray Limited for 2021 is provided.To consult:The…

Q: . Consider the following non-linear system of differential equations x'=xy- 2, y = x - 2y. Note that…

A:

Q: low many different sequences of 4 digits are possible if the first digit must be 3, 4, or 5 and if…

A: To find the number of different sequences of 4 digits following the given conditions, we can…

Q: a. Find the Laplace transform F(s)=L(f(t)) of the function f(t)=4e-3 +1+6elor, defined on the…

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Q: Solve the inequality and graph the solution set. 4x + 2 6} K++++ -10-9-8-7-6-5-4-3-2-10 1 2 3 4 5 6…

A: The objective of the question is to solve the inequality 4x + 2 < 26 and find the correct…

Q: Suppose a subspace is spanned by the set S of vectors shown. Find a subset of S that forms a basis…

A: Given that, the subspace is spanned by the set of vectors {(1,−2,4),(3,−7,16),(-3,7,−16)}. We have…

Q: 2. Problem 2 Let A = 2 1 -1 1 -3 -1 1 0 1 1 " W = col(A), and x = 3 -4 -1 2 (a) Find Projw(x). (b)…

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Q: f(x, y, 2) = −x² + x2 + 38² + 32³, subject to x+y+z= 2.

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Q: 2 east one of the answers above is NOT correct. e ite the given third order linear equation as an…

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Q: Find the determinant of [1 6-4 0 02 0 0 00 -2 0 00 -7 0 2 3 -2 -2 0 6 -2 0 0

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Q: Consider the following initial value problem. 0 1 ≤1 12 1 ≤ 1 < 6 0 6 ≤ 1< 00 y' + 3y = y(0) = 10…

A: The Laplace transform of a function f(t) is defined as L{f(t)}=∫0∞f(t)e−stdt .Formulas: (1)…

Q: 4. Let T: R2 → R² be defined by T = {B.[4]). and B₁ = -x y X- ([])=[ + ][²] = {[1].8]} BVB RUE BUE…

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Q: x+2 4 e. f'(x) = 1-2, x ±0 f. f'(x) = x-¹/³ (x + 2) -1/3, g. f'(x) = (sin x − 1)(2cos x + 1).0 < x <…

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Q: Suppose f [a, b] → [a, b] is continuous. Prove there exists c € [a, b] such that f(c) = c. (Hint:…

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Q: At a local college, four sections of economics are taught during the day and two sections are taught…

A: At a local college, four sections of economics are taught during the day and two sections are taught…

Q: 3. Let T : R² → R² be defined by T = X Y -x+y x-y

A: 3. Given that  be defined by:

Q: 7πT Find the slope of the line tangent to r = π at 0 = 4

A:

Q: 6. Given tan (0 - 450) = 4, find tan 0. D

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Q: WHAT IS THE ANSWER?

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Q: correct answer. I have attached the correct answer in this question. question:   solve the given…

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Q: 5. Consider the series below ∞ 1 n² + n n=1 1 (a) Use partial fraction decomposition to rewrite as…

A: First we partial decompose the given sum. And then find the limit of the partial sums.

Q: 2. Compute ffery dS, where S is the surface of the tetrahedron with sides z = 0, y = 0, x + z = 1…

A:

Q: Consider the function f(x) = arctan(3x). Show that the graphy = f(x) and its tangent line y = g(x)…

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Q: Find the unit tangent vector T and the principal unit normal vector N for the following…

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Q: Let A - = [5 2 0 -2 0-2 7 2 6 = PDPT where D = Compute (a) an orthogonal decomposition A…

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Q: Compute the following limits using l'Hospital's rule if appropriate. Use INF to denote ∞ and MINF to…

A: Note: As per our guidelines, we can solve first part as your parts are not small. Please repost…

Q: For any positive integer n, deter lying inside the circle |z| = 1.

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Q: The system of first order differential equations: has solution: y₁ (t) Y₂(t) - = Note: You must…

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Q: Each character in a password is either a digit [0-9] or lowercase letter [az]. How many valid…

A: We shall count this using basic mathematics.

Q: 1, 0, 9, 1, 5, 1 Let a, b, c, d, e and ƒ be (i) Consider the set D := {1, 2, 3, a, b, c, d, e, f}…

A: Given Information: are given as .Consider the set .Objective:i) Check whether the forms the degree…

Q: Find the standard matrix for the linear transformation T: R² R² that reflects points about the line…

A: Linear Transformation T: R2  to  R2 that ''reflect'' points about the line x2=x1Claim : find…

Q: Convert the integral to polar coordinates, getting where h(r, 0) = A || B = = C = D = 1 I - I =…

A:

Q: 7. Consider the boundary value problem x" + x = 0, x(0) = 0, x(π) = 0. Then A=4 is an eigenvalue for…

A: Eigenvalue of the differential equation

Q: (i) For what x-values is 300(1.1)* > 200(1.2)*? 300(1.1)* > 200(1.2)* when x Sv i (ii) For what…

A: We shall use the basic inequality of logarithms.

Q: 1 -1 Let C = 0 0 1 0. The characteristic polynomials of both these 0 2 02 matrices is p(x) = (x −…

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Q: Using contour integration, evaluate the following integral •2πT 1 4+3 cos 0 de

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Q: Rough Stuff makes 2 products: khaki shorts and khaki pants for men. Each product passes through the…

A: Contribution margin per hour = Contribution margin per unit / Hour per unit

Q: 4. As a tornado moves, its speed increases. The function S(d) = 93 log d + 65 a) Graph this…

A: Given information:Function representing the speed of wind near the center of a tornado: , where  is…

Q: 1. Let N be a Poisson process with intensity λ, with N = {N(t) : t ≥ 0} where N(t) denotes the…

A: The objective of this question is to prove that the interarrival times X1, X2,... in a Poisson…

Q: Prove the conjecture bn= 2(bn-1)+1, n>=3 using strong induction. Recurrence is given bn=3bn-1-2bn-2…

A: We shall solve these question by use of induction