6. e 2t sin2t + e³t₁² 2

Q: A small metal bar, whose initial temperature was 10° C, is dropped into a large container of boiling…

A:

Q: Q3): A robot arm with a rapid laser scanner is doing a quick quality check on holes drilled in a…

A: We have to find the value of y at x=5.00

Q: Find the volumes for the following solids whose heights are defined by Z(x,y) and bases are the…

A: Volume bounded by xy-plane plane.

Q: Let x = [1,1], y = [1,1] € R² and let f: R² ⇒ R² with f(z) = 2₁.x + 22.y for any z = [21, 22] € R².…

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Q: An estimate value of f(x) dx is 10 using trapezoidal 2 - interval rule. W is an estimate value of…

A:

Q: Determine whether the DE is exact then find the implicit solution. 3y(x²-1)dx + (x3 +8y-3x) dy=0; x…

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Q: Decide whether the vectors [2, 9, -1, 4, 7, 8, 10, 9], [11, 2, 5, -9, 0, 0, -1, 3], [4, 18, -2, 8,…

A: We have to decide whether the given vectors are linearly independent. Then, we can proceed further.

Q: Number of voters 14 14 11 11 9 I. Head-to-head total score: X: vs. Y: II. Head-to-head total score:…

A: Solution :-

Q: Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding…

A:

Q: Example 9.15. Solve the simultaneous difference equations x+1+v₁₂-3u₁ = x, 3u₁ +vx+15v₁ = 4³ subject…

A: here, u1 = 2 v1 = 0

Q: Given f(x)=√x-5; x+5 and g(x)=x+3. Find the domain of (gof)(x)?

A: Given f(x) = x-5g(x) = x+3

Q: Q3): A robot arm with a rapid laser scanner is doing a quick quality check on holes drilled in a…

A: We will use the Lagrange method. We have: x 2 4.25 5.25 7.81 9.2 10.6 y 7.2 7.1 6 5 3.5 5…

Q: 2. Show that is an eigenvalue of A and find one eigenvector corresponding to this eigenvalue. 1 0 21…

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Q: Let x₁, x₂ denote the variables for the two-dimensional data summarized by the covariance matrix,…

A: As per the question we are given a covariance matrix along with ots eigenvalues & eigenvectors,…

Q: For the following linear system, find the inverse of the coefficient matrix using Gaussian…

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Q: | Example 10.1. Using Picard's process of successive approximations, obtain a solution upto the…

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Q: Find the area of the region r = 7-7 sin 0 a) What is the value of beta and alpha? b) The area of the…

A:

Q: Q3): A robot arm with a rapid laser scanner is doing a quick quality check on holes drilled in a…

A: Newton Method:-  so the value if y at x=5.00 is 6.28 inch

Q: Find the solution to the Bernoulli equation. 1 xay từ you Oy³ = 1+ CX-3 Oy³ = 1+ Cx³ Oy³ = Cx³-1…

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Q: Compute S₁_₁fdx, where f(x)= | x | .

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Q: 2 – 26s – 47 ( s - 1 ) ( s + 2) ( s + 5) 2ی

A: # As per the guidelines we are entitled to solve one question at a time ,please resubmit the other…

Q: Use mathematical induction to prove и исин) {i= VEN 2 1 = 1

A:

Q: V. Find the slope of the normal line to the graph of g(x) = where x = 0. log₂ (1-x) sin ¹(x) + e² at…

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Q: Answer questions about the simplex method for maximization in your own words. Be prepared to answer…

A:

Q: Write the following English sentences in symbolic form- 1. Birds fly if and only if sky is clear.…

A: We have to write the given sentences in symbolic form.

Q: Let y₁(x) and y₂(x) be any two twice differentiable functions, not necessarily eigenfunctions, in an…

A:

Q: 3 Let v₁ = -3 and v2 = 2 be eigenvectors of the matrix A which correspond to the eigenvalues X1 1 0…

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Q: Identify and draw a sketch of the surface [(x-2)] ^2/9+ [(y-3)] ^2/4- [(z-1)] ^2/36=1 O elliptic…

A: Equation for elliptic hyperboloid of one sheet with center (0,0,0) is  x2a2+y2b2-z2c2=1

Q: 5. (a) Evaluate the polynomial y=2²-82² +12z-0.45 at z 2.378. Use 4-digit arithmetic with chopping.…

A: Given,y=x3-8x2+12x-0.45 and y=x-8x+12x-0.45To find: Value of given polynomials with chopping and…

Q: Analyze a line integral in differential form below (1,2,3) 3x² dx + dy + 2z ln y dz dy + y 1.)…

A:

Q: Find the solution using Variation of parameter. (D²1)y=e* + 1 1 y=C₁e* + C₂e-x+ 를xex ex-1 2 4 1 1 -X…

A:

Q: [MO31] Find the Fourier series of,

A: Given,           f(x)=0-2<x<-1-x-1<x<11   1<x<2

Q: ITI 7 6 5 4 -3 ·2 1 -2-1 -2 12 3 45 5 6 7 8 II x

A:

Q: Example 7.30. Using Hermita's intropolation, find the value of f(- 0.5) from the following data: : 1…

A: Given data is x -1 0 1 f(x) 1 1 3 f'(x) -5 1 7 Using Hermite's interpolation, the value of…

Q: Q.3: Solve the following set of four linear equations using Gauss-Seidel iteration method; Continue…

A:

Q: Find the radius of convergence, R, of the series. Σ(-1)^n²xn n = 1 67 R = Find the interval, I, of…

A:

Q: A lighthouse is on an island 250 meters off shore. The lighthouse beam makes a full turn every 13…

A: Given: Distance between lighthouse and shore 250m, The angle between the perpendicular line joining…

Q: Given, dr = b(cosedr+rsinėdė);r(π) = 1. Find (1) 1 1+b O 1+b 2 1 1+b O b -(1-b) 1+b

A: We have to find the value of rπ2

Q: Simplify √1² +7 85x -X25+78x5 .Write the answer in the form ax² + bx axp+bxq

A: Here given expression x25+7x5

Q: Example 9.6. The integers 0, 1, 1, 2, 3, 5, 8, 13, 21,...... are said to form a Fib quence. Form the…

A:

Q: Outline the analysis of variance table for a 22 x 32 factorial design. Discuss how this design may…

A: We need to analyze 22×32 factorial design and its confounding arrangement.We will use an ANOVA…

Q: Consider the following matrix: 3 40 80 70 A=0 2 0 3 0 2 0 1 3 4 0 10 0 70 6, (a) Find a basis for…

A:

Q: O cos 4x + (Dx + E) C) cos 4x + (Dx+ Am Cm 2:

A:

Q: Example 10.21. Given y' : x(x² + y²) ex, y(0) = 1, find y at x = 0.1, 0.2 and 0.3 by Taylor's series…

A: Here, we need to use Taylor's series method and Milne's method.

Q: Do as indicated. 1. Let C be the parametric curve defined by Determine if C is concave up or concave…

A: The given curve C is: x(t)=t2-t-2y(t)=t3-12t2+t which is defined parametrically. To check: C is…

Q: For the following linear system, find the inverse of the coefficient matrix using Gaussian…

A: Note: Gauss elimination uses row operations to produce a row-echelon matrix. Gauss-jordan…

Q: eeded to be solve correctly in

A: Given, the helix                r(t)=cosπt2, sinπt2, t intersects the sphere x2+y2+z2=2 in two…

Q: Find the values of x and y that solve the following system using the Nonlinear Newton-Raphson…

A: Given: System of non-linear equations, x2+xy=10y+3xy2=19 with initial condition X0=1, 1. To find:…

Q: 1. Given: f(x, y) = y a. Find and sketch the domain of the given function b. Find and sketch the…

A: Directional derivative of a function f(x,y,) in the direction of unit vector…

Q: 4: 4d³y - 13+6y=0 dx3

A: Given differential equation: 4d3ydx3-13dydx+6y=0To find: General solution of the differential…