1. Determine the eigenvalues and the eigenvectors of the matrices -1 -1 1 a. C. -4 2 4 -1 1

Q: Ive the following equations: 1. (D? - 3D + 2)y = 2x3 – 9x? + 6x

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Q: Evaluate the ie idegal- grea dR, where ConGists of X- the upper part g the cake x'ty*= curife * 1…

A: Solve by two method  Using Green's theorem and direct line integral

Q: Evaluate the following and express it in polar form. tan(0.2 - jo.6)

A: Solution-:

Q: - Consider the function g defined by 1 g(x, y) = sin 2 log3 (x – y) 1. Calculate the instantaneous…

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Q: The following data gives an approximation to the integral M = f(x) dx N(h) = 2.28 , N, () = 2.08.…

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Q: How may chords are there in the figure? [1 ] (134° – 50°)/2 = 42° LAFC= 134° E F 4EFD= 50° LABC= 42°…

A: Solution:-As per guidelines I submit first question only.

Q: find The complete SoLution of The differentia eqution y+24'+4y=asX Subjected to The Condioin…

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Q: Öz dz and dy V. Let z be a function of x and y, and tan Vy? + x2 = z*e5y. Solve for VI. Determine…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Write the equation for the graphs below. -5 0. -5

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Q: Use Stokes' Theorem to caleulate ſ. F - dř, where F = zyi+3=3+5zk, and C is the closed path around a…

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Q: How may inscribes angles can we generate from the figure? D 77° 75° 58° A B 4 2 8 10 6 12

A: The inscribed angle is the angle that is formed when two chords intersect each other at the…

Q: t, = 1 t2 = 2 t3 = 3 t4 = 4 C, = 11 C2 = 29 C3 = 65 C4 = 125 1 1 1 1 11 1 4 8 29 1 9 27 65 1 16 64…

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Q: Chapter 7: Linear Programming 1. Find the duals. a) Maximize Z = 2?1 + ?2 − ?3 subject to: 2?1 + 2?2…

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Q: dy Solve x da + 5y = x sin (ax2)

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Q: Given a smooth functionf such that f(-0.1) 2.2204, f(0) = 2 and f(0.1) = 1.8198. Using the 2-point…

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Q: c) Find te geseral salutin * (2x +y)dx - (ux + ay -i) dy o

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Q: 4. Determine the equation of the plane passing through the point (1, -4, 3) and parallel to the…

A: This is the problem of vector Algebra and 3D Geometry.

Q: ду and du az Let z = x? + y, x 2st, y = s- t², s = u", and t = u sin w. Compute for

A: Given z=x2+y3x=2sty=s-t2s=uwt=usinw We will find ∂z∂w and ∂y∂u

Q: Q.8) The characteristic equation for y"" + y'+ y = 0, is: a) 2* = 22 Q.9) The form of the particular…

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Q: Directions: Complete the two-column proof to prove that: CD AB Given: AB = CD B Prove: CD= AB…

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Q: VI. Determine all the relative minimum and maximum values, and saddle points of the function h…

A: Relative maxima minima and saddle point

Q: Solve the Vandermonde matrix using Newton Interpolant (incremental interpolation)

A: We are asked to find the determinant of the Vandermonde matrix using the Newton Interpolant…

Q: Determine the volume of the rotating object that occurs if the area of ​​the curve y1 = - x2 + 4 and…

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Q: In Problems 19-36 use Theorem 7.1.1 to find L{f(1)}. 19. f(1) = 2r* 20. f(1) = 1 21. f(1) = 41 – 10…

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Q: y"(x) + 9y(x) = 40e* ; y(0) = 5, y'(0) = -2

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…

Q: Instructions: For every item given below, determine which kind of algebraic structure it is, and…

A: Introduction: An algebraic shape is like an ordered pair. The pair includes a hard and fast and a…

Q: 1. Consider A = (0,4, 2), B = (6, 0,0) and C (3,0,-1). (a) Find the unit vector in the same…

A: Given Vector :  A =  < 0,4,2 >  B =  < 6,0,0 >  C =  < 3,0,-1 >   Must know :…

Q: Considering the following Linear equation set: 2x1 + 6x2 + 15x3 = -12 %3D 4x + 7x2 + 13.x3 = -10 3x1…

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Q: How far trom the y-axis is the center of the curve 2x? + 2y? + 10x - 6y - 55 = 0? O 2.50 O 2.75 O…

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Q: 14. Use the Gram-Schmidt process to transform the basis for the Euclidean space R" into an…

A: We have to transform the given basis into an orthonormal basis for ℝ3

Q: Please provide a thorough solving. I jus t need to understand this. ON a mountain, the elevation z…

A: (Solution) (a) Let’s compute the directional derivative of f(x, y) = z in the direction ofw = -1,0…

Q: c) yp (x) = A sin3x Q.10) The recurrence relation which obtained from solving y" +y = 0 by using…

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Q: 6. * dx

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Q: 2 p"(5) is: The degree of precision of a quadrature formula whose error term is 5 2 This option O…

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Q: Find the volume of the solid obtained by rotating about the x- axis oF the region bounded by y= x ,…

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Q: 3. Find the values of x does the power series > converge? п! n=0

A: We know that the power series is represented by ∑n=0∞ anxn, where an is the function of n which…

Q: 4. Graph one complete cycle. Label everything! ! Fill in all the blanks. y = -1- 3csc( + Domain:…

A: The given function is y=-1-3cscπx2+3π4. To find: (i) Domain. (ii) Range (iii) Amplitude (iv) Period…

Q: 9. I= set of all positive even integers, (a*b) = (a-b)/2 10. J= set of all positive odd integers,…

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Q: UseThe Culerwe method's Sove the: dy %3D xCi+メ)。 y(0)=3,h=0.2

A: This is a problem of Numerical Analysis.

Q: 13. An observer stands 700 ft away from a launch pad to observe a rocket launch. The rocket blasts…

A: We have to find relation between distance travelled by rocket from ground and distance of rocket…

Q: 1. Evaluate the given line integral, | (x – y, y) · dŘ, where C is the right part of 2² + y? = 1…

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Q: (2) Solve for x and y, (2x–1) + (x + y)i = (y – 6) + (2y – 4)i

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Q: Pose only a triple integral that calculates the volume of the solid bounded by the surface z =…

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Q: Determine the cardinality of each of the given sets: a) The set T of counting numbers that are…

A: The pair of sets are equivalent if there exists a bijection between then. We product the example of…

Q: Give the symmetric equations of the line l perpendicular to the plane T : 5x – 2y = z+4 and passing…

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Q: 1 is uniformly continuous. 1+x 5. Clarify that f :R→R defined by f (x)=

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Q: Determine the arc length of a circle with radius 5cm and angle 1.78 radians.

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Q: Q2: Find the general solution of the system i = 3x – y ý = 2.x,

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Q: ди (х,у) — у. ди(ху) — и (х, у) с) х. əx ду

A: c) The given Partial Differential Equation is…

Q: Use Method of Undetermined Coefficients: y" - 2y' + 5y = 4e*cos2x +x?

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