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Q: Evaluate: e da using 1/3 and 3/8 Simpson's rule. Round off to 6 decimal places.

A: Using Simpsons 1/3 and 3/8 rule with 6 decimal places

Q: C.CE diff. eqs. 8. x³y" +x² y" – 2x y' + 2 y = x³sinx |

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Q: (a) (: For the function 2 0 <t < 3 f(t) = (e2 – 3)? t 2 3 use the definition of the Laplace…

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Q: 1. Write the following function using unit step functions and then find its Laplace transform: e2t 0…

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Q: 5.1 Explain why there is a # next to the first value of R43,96. 5.2 Why is the total number of items…

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Q: Without the aid of the Wronskian determine whether the given set of functions is linearly…

A: Given functions: f1x=lnx and f2x=lnx2 To show: Determine whether f1x and f2x are linearly dependent…

Q: (ii) Show that for Joel to save $ 10 000 after 5 years, he must earn interest at a rater determined…

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Q: 628 + j5z4 + 6 = 0 3.

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Q: (b) Prove by Induction that (3i – 1)(3i +2) = 3n +6n2 +n for n21 i=1

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Q: The following sequence 2357" An = e\ n! converges toe O converges to 1 converges to 0 diverges

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Q: If g is a differentiable function and g(0)=0 and g'(0) > 0. a) Prove that f(x) = 1/2 (integral from…

A: We will use the basic knowledge of differential and integral calculus to answer both the parts of…

Q: Profit and Working Capital. Sixteen industries of this State have been ranked as follows according…

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Q: 10. If it is known that the periodic function f(t) contains even harmonics only, which Fourier…

A: Given:If it is known that the priodic function f(t) contains even harmonics only

Q: 2n+1] + 3n (-1)" 4n n=1 3.

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Q: Student Name : Compute the work done by the force along the curve (use defini- tion): F = [3r - y 12…

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Q: Consider f(x) = eª, 0<x< T. (a) Find the half-range Fourier sine and Fourier cosine expansions of f…

A: Given: Let us consider the given fx=ex, 0&lt;x&lt;π a) Determine the half-range Fourier sine and…

Q: Consider the equation surface S in the three dimensional space given by the equation X = z2+2 (a)…

A: Given the surface S in the three-dimensional space given by the equation x=z2+2. (a) The graph of…

Q: [5 2 0 similar to B; if no, explain why not. Let B = Is the matrix B orthogonally diagonalizable? If…

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Q: completing the proof. Example 2.1.1 Let 2 = R, ar - F(x) by O You are sharing your entire screen.…

A: We will use the basic knowledge of real analysis, in particular, the convergence of sequences, to…

Q: XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Test if the following complex limit exists,…

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Q: The task is to compute for the mass of the wire. x2 y2 A cable is bent like the segment of the…

A: Mass of a cable =∫∫Rδx,ydxdy Where R is a shape of plane and δx,y is a linear density function

Q: 3. (a) Construct a graph with six vertices and degree sequence 1, 1, 2, 2, 3, 3. (b) Construct a…

A: 3. (a) Construct a graph with six vertices and degree sequence 1, 1, 2, 2, 3, 3.   (b) Construct a…

Q: Compute the Lyapunov exponent of the map xn+1 = (4xn) mod 1 with two-digit accuracy.

A: To compute: The Lyapunov exponent of the map xn+1=4xn mod 1 with two-digit accuracy.

Q: Ms. Kemp asks her students throughout the year to record the number of hours per week they spend…

A: Best fit line can be identified by 2 methods first is  eye ball method which states that draw a…

Q: Define the linear transformation T: R* R' so that 2. I- 12+2r3 -x-2r2 + xg 2x, +x2+IS It I2 I3 a.)…

A: Dear Bartleby student, according to our guidelines we can answer only three subparts, or first…

Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

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Q: Find the g.c.d. in Z [i] of 2 and 3+5i.

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Q: Evaluate 3- 2y ds where Cis the line segment from (3,6)to(1, –1)ts -58.240 58.240 -57.991 Non of the…

A: Let us consider the line integral I=∫cf(x,y)ds  The integral will be converted to…

Q: Let V R°, the vector space over R of dimension 3. (a) Give an example of a subspace of V. (b) Write…

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Q: Consider the function g defined by g(r, y) = cos (Tx V) + COS log3(r – y) Do as indicated. 1.…

A: Instantaneous rate of change of a function g in the direction of the vector v is given by ∇g.u where…

Q: 1. Let S be the part of the plane 2.x – 2y + z = 1 inside the “cylinder" whose walls are given by…

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Q: Calculate S3, SA, and S5 and then find the sum for the telescoping series 1 Σ n+1 S = n+2 n=9 where…

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Q: The table below shows the bus fare (in rand), including 15% VAT, for a single trip. BUS FARE IN RAND…

A: The fare of a return trip is calculated by multiplying the fare of single trip by 2. The expression:…

Q: Which of the following points is the central projection of the point (4, -8, 14) onto the plane x=2?…

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Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

A: Solution:

Q: Solve the following system of differential equations. dw = -w + 52z dt dx 2x dt dy = 2w – 4y + 2z dt…

A: We are given the following system that we need to solve.…

Q: 3 6. Work Problem 3 (- - ): V1 0 , v2 = 0 |2 vectors from 2 R³. (a) [ independent (b) . {U1, U2, V3…

A: We know that two vector u and v are linearly dependent if and only if one is a scalar multiple of…

Q: Find a series solution about the ordinary point 0 of the differential equation y" – xy' = 0. wwww w…

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Q: In(x®y²) = x² +y³

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Q: a) A = (1 - 2), B= b) A = B = (3 -7) 2 2 8 A = B = о 11 c)

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Q: Using the method of undetermined coefficients, a particular solution of the differential equation…

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Q: Using the method of undetermined coefficients, the form of y, of the differential equation: y4) -…

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Q: O Consider the following proposition P(a, b, c) in the variables a, b, c E R\{0}: 1 1 1 Р(а, b, с) :…

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Q: 4 IE Ris a Commutativ ring, Show that the characteristic of REX] is the Same as the characteristic…

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Q: Solve the following differential cquations 1. x + x*y -sec(xy) Ans. sin x = 2x2 +C x +y Ans. y- tan…

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Q: Let M2(R) be the set of 2 x 2 matrices with real number entries, i.e., {[: :] inhader}. Define…

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Q: xdy – ydx = 3x²(x² + y²)dx

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Q: Prove whether diverges and state which the following reries converges you or theore test use to…

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Q: Let f : A → B be a function and let G be an equivalence relation in B. Prove that f (G) is an…

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Q: Solve the differential equation below using series methods. у'' — гу' — 5у — 0, у(0) — 4, у'(0) — 2…

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