Find the general solutions of the syst
Q: Solve the initial value problem. dy y = 5x ex, dx X The solution is y(x) = y(1)=5e-3
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Q: ) Show that the function defined by if (x,y) = (0,0), f(x, y) = { 0 if (x, y) = (0,0) is not…
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Q: Marissa converted an RRSP balance of $125,000 into an RRIF that will pay he $1,850 at the end of…
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Q: Let f(x) be a function given by 0 for - < x < 0, f(x) = sin for 0≤x≤T. (a) Prove whether f(x) is a…
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Q: Solve the initial value problem. -1 1 0 y' 1 -1 -2 y, y(0) -1 -1 -1 6 5 -7
A: This is a problem of system of differential equation.
Q: Maximize z = 4x + 2y, subject to the following constraints. (See Example 8. If an answer does not…
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Q: 5. Using the least squares approximation, the best fit an exponential curve y = ea(x-b) to the given…
A: This is a problem of least square curve fitting.
Q: Q1/Find the Fourier series of the Function x , 0≤x≤2 .f(x) = :{ 0, 2≤x≤4
A: Given function is fx=x, 0≤x≤20, 2≤x≤4. We have to find the Fourier series of the function fx. The…
Q: 1. Use operator / elimination method to solve the given system dx dy + = 2x + 2y + 1 dt dt dx dy y +…
A: Since you posted multiple questions, we will solve first question for you.
Q: Specify the boundary and interior of the set S in 3-Space whose points (x,y,z) satisfy the given…
A: Given : S = (x, y, z)∈ℝ3 : x≥0, y>0, z<2 To find : (I) The boundary and interior of S, that…
Q: 2. The value of f¹dx = ..., for each Chebyshev polynomial T, (x), n ≥ 0. dx=, √1-x² c) 0 d) None of…
A: For each chebyshev polynomial we have
Q: Solve the initial value problem. √y dx + (x-9)dy = 0, y(10) = 49 The solution is - 2√/y = In (x-9)-…
A: The given initial value problem is ydx+(x-9)dy=0, y(10)=49 We…
Q: Use the second Taylor polynomial P₂(x) for f(x) = x² + sin(x) about co = 76 2010 16 0 and evaluate f…
A: Given: fx=x2+sin x To find: Solution
Q: The board of directors of SSS Inc., have de
A: Given that the board of directors of SSS Inc. has declared a dividend of P18,000,000. The company…
Q: Use the mid-ordinate rule with four intervals to evaluate the integral Type your final answer below…
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Q: The bases of a trapezoid are 48m and 98m and a height of 61.02m. The angles at the ends of the…
A: Introduction: Area is the space covered by the object or any geometric figure. It is the region…
Q: Q1) Let D = M₂ (Z2)be a ring find the order of D and all the idempotent elements.
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Q: Determine if the graph is i) Eulerian only, then specify an Eulerian circuit ii) Hamiltonian only,…
A: Given: Graph having 5 vertices and 9 edges. We have to check whether the given graph satisfies the…
Q: (D² -1)y=2(1-e-2x)-1/2
A: Solution: Given a differential equation D2-1y=21-e-2x-12 Now, the characteristic auxiliary equation…
Q: 1. The set of functions {Po, P1, Pn) in [a, b] is called a set of orthonormal functions, with…
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Q: 7. Given the function f(x)=x²-x_and_g(x)=x-1, determine an equation for the combined function g(x)…
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Q: Question 7 Define a relation R on the set of integers Z by: aRb if and only if ab >0 (a) Show that R…
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Q: Before 2017, a smart phone manufacturer’s phones had a diagonal length of 5.8 inches and an aspect…
A: Before 2017, the diagonal length was 5.8 inches and an aspect ratio of 16:9 The phone is in the…
Q: 2. Let the function Prepresent the population in billions of a country P (t) and represented by the…
A: Since you have posted a multiple question according to guildlines I will solve first (Q2)…
Q: 4) Solve for y" + x²y' + xy = 0. Final answer must show the series until term of X7.
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Q: 3. If_f(x)=(x+1)(x+b) and f(2)=f(5), then_ƒ(10)= A. 22 B. 16 C. 10 D. 7
A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…
Q: 2. The value of ¹₁ a) a O b O C O d [Tn (x)]² √1-x² dx = ..., for each Chebyshev polynomial Tn (x),…
A: Here is the answer in the image below.
Q: Date Title Page No. Teacher Sign / Remarks find the smallest prime number dividing the Sum 3+ 5 ¹13
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Q: Solve the optimal control problem min {J(u) = f'(=1(t) + ½u(192)dt} subject to the dynamics day dzą…
A: As per the question we are given a optimization problem subject to a dynamic system. And we have to…
Q: Let ƒ : f: R” → R be a function given by ƒ(x1,x2,...,xn) = x².x² …x², where n x² = 1. Show that the…
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Q: Q1) Let D = M₂ (Z2)be a ring find the order of D and all the idempotent elements.
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Q: ]x" (t) + x (t) = 6 sin 2t "here X(0) = 3 x' (0) = 1
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Q: If u = (1,0), then Düfz(-3, 4) = ƒxy(−3, 4). True False
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Q: (a) Let n be an integer. Consider the function xsin, x0, f(x)= { 0, x=0 Find the suitable condition…
A: we will find limits to check continuity and differentiability , Slope of tangent to any curve is…
Q: Ju udv-uv- 1 [vdu to Explain why the substitutions below are inappropriate. Let dv <=x x dx 1.…
A: Here we will find how to use integration by parts
Q: Question 4 (a) Solve 2* = 3 for x correct to 2 decimal places. (b) Solve 2* = 5 for x to 4…
A: a) 2x=3 ( 2 decimal places) b) 2-x=5 (4 significant figures)
Q: Test the series n=17²³+ for convergence or divergence.
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Q: Suppose S is a cone parametrized as follows: If F(x, y, z) = (y, —x, -3z), evaluate the flux…
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Q: 4. The position of a particle at time t is given by x(t) = 5+4 sin(t) y(t) = 2 − 4 cos(t) 0<t</ (a)…
A: This is a problem of parametric curve and Integration.
Q: (a) Prove the convergence or divergence of each of the following series: 1! 2! 3! (i) + + +. + n! 2n…
A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…
Q: Let f(x) be a function given by f(x) = (a) Prove whether f(x) is a Dirichlet function. (b) Find the…
A: given :- f(x) ={ 0 for -π≤x<0, {sinx for 0≤x≤π. a)…
Q: 1. What is the value of the correlation between Academic Performance and Digital Literacy? A.…
A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…
Q: Calculate the 4th roots of (5 - j3)
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Q: Determine area the top and all side of a platform below. 6m -2.65m 115°
A: Consider the diagram below, The height of the parallelogram will be find by using trigonometric…
Q: Solve using method of undetermined coefficients: y" + 3y = -48x2e3x
A: The solution is given as
Q: Question 6 Option 1 Two cars leave an intersection at the same time, each on a different straight…
A: Here we have to use cosine rule for triangle For a ∆ABC cos A =b2+c2-a22bc where a,b,c are sides…
Q: On the coordinate plane below, sketch the equal position vector to the given vector. PENCIL THIN…
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Q: 2. The value of ¹₁ KIN [Tn (x)]² √1-x² 5 LEIN dx = ..., for each Chebyshev polynomial Tn(x), n ≥ 0.…
A: The given integral is ∫-11Tn(x)21-x2dx where Tn(x) , n≥0, are…
Q: 1 (-1)-1 (ii) 1 +... 5 2n-1 (b) Show that the interval of convergence of the series 1 1 -√2ses.…
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Q: 3. Consider the functions_f(x)=(x-a)(x−b), g(x)=(x−p)(x−q)_and_h(x)= g(x) If a‡b‡p‡q, then a) which…
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- Solve the system by any method. 7x − 2y + 4z = 15 −14x + 4y − 8z = −27 21x − 6y + 12z = 43 Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice. A. The solution is ,,. (Type integers or fractions.) B. The system has infinitely many solutions of the form ,,z, where z is any real number. (Type expressions using z as the variable. Use integers or fractions for any numbers in the expression.) C. This system has no solution.Solve the system of equations by substitution. left brace Start 2 By 1 Matrix 1st Row 1st Column 4 x minus 3 y equals 7 2nd Row 1st Column 5 x plus 3 y equals 2 EndMatrixSolve the system of equations consisting of x2 + y2 = 49 and x2 + 64y2 = 64. (Order your answers from smallest to largest x, then from smallest to largest y.) (x, y) = (x, y) = (x, y) = (x, y) =
- Solve the system: x + y + 2z = 11, x + y + 3z = 14 and x + 2y - z = 5.solve the system 5x-y+2z=3 4x+5y+7z=26 x+y+4z=3 the solution is,?The number of new users y (in millions) for a certain website between August 2008 and May 2009 can be modeled by the equation y=ax2+bx+c, where x represents the age of the user. Using the ordered pair solutions (15,1), (35,8),and (55,5), create a system of linear equations in three variables for a, b, and c. Do this by substituting each ordered pair solution into the model, creating an equation in three variables. Solve the resulting system to find the coefficients of the model. Then use the model to predict the number of new users for the website who were 40 years old.
- From 5 methods of solving systems of linear equations that you have learnt, which methods will not give an exact solution? Why?Solve the system using either Gaussian elimination with back-substitution or Gauss-Jordan elimination.2x + 6z = −9 3x − 2y + 11z = −16 3x − y + 7z = −11Topic-solution of system of equations 2y-x=8 x²-y²-4y=20