ýt 29-ty-osinx

Q: n A pendulum moving in simple harmonic motion is modelled by the function s(t) = -5cos (), where s…

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Q: Prove that |z₁+z₂²= |z₁|²+ z₂², if z₁/z2 is purely imaginary.

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Q: Where did this come from?

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Q: Prove that: B (x+1; y ) + B (x,y+1)=B (X,Y) let П (х+1) =ХГ (X)

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Q: 1. Show that y(x) = c; sin 2x + c₂ cos 2x is a solution to y + 4y = 0.

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Q: If w and a² are the nonreal cube roots of unity and [1/(a + c)] + [1/(b + a)] + [1/(c + a)] = 2w²…

A: We have given that, ω and ω2 are the nonreal cube roots of unity. Also, 1a+ω+1b+ω+1c+ω=2ω2…

Q: DEFINE REPEATED POSITIVE EIGENVALUE WITH TWO INDEPENDENT EIGENVECTORS?

A: We know that a number t is called an eigenvalue of the matrix A if it satisfies the matrix equation…

Q: In the following problem apply the eigenvalue method to find a general solution of the given system.…

A: Given,        x'1=50x1-20x2x'2=100x1-60x2.

Q: Calculus Problem Description: Assume: • The cost of an industrial robot is $400,000. • The robot…

A: We will calculate yearly  cost of  laborer and yearly working hours . Then compare that with robots…

Q: Let ne Z and AABC be a right triangle with right angle at C. If sin A and sin B are the roots of the…

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Q: Find the differential equations of the following primitives by eliminating the arbitrary constants.…

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Q: y sin x - xy² = c C

A: We have to form the differential equation by eliminating the arbitrary constant.  Here the equation…

Q: (PARAQ) ((PV RAQ) (PARVQ))

A: Given: The expression is (P∧R∧Q)⊕(~(P∨R∧Q)⊕(P∧R∨Q)). To find: The truth table for the given…

Q: 4) To find the root of the equation x²-3 = 0 using the fixed point method in [1,2], one of the…

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Q: If the roots of the quadratic equation x² + px + q = 0 are tan 23° and tan 22°, then find the value…

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Q: 3.- Check that each given function is the solution to the initial value problem. y(0) = 1, y'(0) =…

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Q: A 12.5-inch candle is lit and burns at a constant rate of 1.2 inches per hour. Let t represent the…

A: Given:  Candle length = 12.5 inch Candle burn rate=1.2 inches/hr To find: (a) Expression in terms of…

Q: If [x² - 2x + a] = 0 has no solution, then find the values of a (where [] represents the greatest…

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Q: Find the value of 'a' for which the tangent to the curve ƒ(x) = (a + 2) x³ − 3ax² + 9ax − 1 never…

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Q: Prove that for every pair of vectore XERn and YER's llocl·llyll.cosd where I is the angle between x…

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Q: B) Using two iterations of the Bisection Method, find the real root of the equation x²-x=6x with…

A: Given : fx=x2-7x                  ,    1 ,-4 To find: Root by Bisection Method with initial…

Q: Express sin(5t) as a sum of two complex exponential signals. That is, find two complex numbers and y…

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Q: If the sum of the roots of the equation 1/(x+ a) + 1/(x + b) = 1/c is zero, then prove that the…

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Q: Find the base five representation for the base ten fraction 1/2.

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Q: y = c sinx

A: It is known that ddxsinx=cosx and ddxcosx=sinx. We need to eliminate the arbitrary constant: c from…

Q: In the following system Problem, categorize the eigenvalues and eigenvectors of the coefficient…

A: given system x1'=-3x1+4x2x2'=6x1-5x2 phase plan of given system of equation this can be written as…

Q: 4) To find the root of the equation x² - 3 = 0 using the fixed point method in [1,2], one of the…

A: The given problem is to find the iteration formula for finding the root of the given equation x2-3=0…

Q: If f(x) = sin x, then lim (2)-f(r) a x->2T x-2A (A) - 2T (B) -1 (C) 1 (D) 2π =

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Q: / Using Doolittles method for the following matrix A = L - matrix and U - matrix. TOY 2 0 86, find…

A: Given : A=-121086-205 To find : L-matrix and U-matrix

Q: Q1 Solve the following differential equations dx + (x+y)dy=0 X 2x (x² + 5)² (B) y-6y +9y=e" cos…

A: As per bartleby policy, I've answered only one question. Please upload the rest two under another…

Q: (2xy + x²)dy + (2xy + y²) dx = 0 A2 (3x² + 2xy) dx + (x²) dy = 0 *A3 (3x²y³ + 3 sin x + 4y) dx +…

A: Disclaimer: SInce you have asked to solve only question 3, this question has been solved only.…

Q: Find the DE of an ellipse with the equation: +2²=1

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Q: The commutator is: Find the commutators if: (a) A = D² and  = x²* (b) A = D and B = x * D [A, B] =…

A: note : As per the standard notations of operator theory, we will treat the operator "D" as a…

Q: 100 200 ↑ fa↑ 200 100 A D f₁ f₁ 150 f₁ fa↓ 100 B E 200 100 ↑ C F 100 150

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Q: YOUR PROBLEM B: The surge function model has the formula below (7 is the elapsed time, A, n, B, C…

A: a) there are four parameter which shifted the graph position so the created familiy of curve if all…

Q: Let n be a positive odd integer number (i.e., n = 2k + 1, for some integer k). Find a unit fraction…

A: To find: Unit fraction representation of 3n, for any positive odd integer n.

Q: The family of parabolas with vertex and focus on the y-axis. A B (C) D y'- xy "=0 xy'-y "=0 xy"'-…

A: Where we use vertex as (0, k) and equation of parabola is x2=+-4a(y-k)2

Q: For the Attached problem use a calculator or computer system to calculate the eigenvalues and…

A: Given That :  The Matrix  A=139-14-52-1428-22578-7370-38-139-3876152-16-59-133595-10-38-723 To Find…

Q: 2. Determine (a) (b) (c) 1 0 0 if a solution to the linear system exists. If so, is it unique? 3 0 0…

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Q: If 2%= N₁, then a Ramsey ultrafilter exists.

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Q: In the following system Problem, categorize the eigenvalues and eigenvectors of the coefficient…

A: Given system is x1' = x1 -5 x2x2' = x1 +3 x2

Q: Trigonometry: The basic MATLAB trigonometric functions are sin, cos, tan, cot, sec, and csc. The…

A: First part: sinπ6=12 cosπ=-1 tanπ2=undefined

Q: Let x₁, x₂ are the roots of the quadratic equation x² + a where a, b are complex numbers and y₁, y2…

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Q: Letf(x), g(x) and h(x) be quadratic polynomials having positive leading coefficients and real and…

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Q: 1. Use the tables to find the z transforms of the following d. e³n e. cos 3h www f. sin4n

A: Solution:     1. d) we know (from the table)                     z_transform [anu(n)] = 1/(1 - az-1)…

Q: Q2) Solve the BVP utt = Uxx ux(0,t) = 0 u(x,0) = 0,_ u₂(x,0) = f(x) = {100 0 0 01

A: We have to solve the given boundary value problem using the given boundary condition.

Q: 4) IF = (6,-8) m, B = (-8,3) m, AND A = (26, 19) m, FIND THE UNKNOWN CONSTANTS AND B SUCH THAT ab +…

A: As Per Bartleby Answering Guidelines We Solve  Only First One Problem Solution - 4  :  Given that…

Q: '= (x+y=2)², y lod=2 (sety/xu)

A: What is Initial Value Problem: An initial condition and an ordinary differential equation that…

Q: 2. Given: cosh x==(e²+ e*), sinh x=(e-e), use these 1-1/1 definitions to show that cosh’x−sinh’x=1.

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Q: The nineteen members of an Examination Board are trying to decide which of four stu- dents, A, B, C…

A: Make a table of preference as follows First  Second Third Fourth Number of votes A D C B 3 B…