5. Evaluate the integral A by Simpsons rule with 2m = 8, and compare your result with the exact value known from calculus. dx A = .2 1 + x?

Q: Use the Geometric Series Test to show that 0.3+0.03+0.003+… converges.

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Q: (5z + R)uz + (7z + R)u, R (b) (z+ R)uz + (y + R)u, = R+u? %3D

A: General solution to the differential equation

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Q: Q1. Test for convergence of the following alternating series 00 Er-1"+1_n+1 E(-1)"+1 In +1 n=1

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A: We want to find that illustrates inverse element.

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Q: Solve for the Laplace transform : (number 12)

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A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Calculate -1- 3i. Give your answer in a + bi form. Give the solution with smallest positive angle.

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Q: State truth value of: If 1+1=2 or 1+1=3 then 2+ 2 = 3 and 2+2 = True False |Don't know Are the follo...

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

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Q: 1 d'y dy + 5y = 0, subject to y(0) = 0 and y'(0) = 40 dx 4 dx2

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Q: About x = 1, 1 f(x) = (6 – 1)4 About x = 0, f(x) = e!-8z About x = -3 1 f(x) = (4+3x)³

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Q: In any obtuse triangle, the square of the side oppo- site vne obtuse angle is equal to the sum of th...

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Q: 8. Solve the differential equation (x+y) = a². dx dy Solve the differential equation tan (y- x)= 1. ...

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist, ...

A: Given:   Plane→   2x+3y = 10  Line→       x-1 3= y+1-2 = z-9

Q: 7. Variable represents students, y represents courses. M(y) rep. y is a math course, F(x) rep. x is ...

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Q: Problem 4. (a) Define a linear operator on R² by performing the following operations in order: a she...

A: As per our guidelines we are supposed to answer only one question that is the first question. For th...

Q: The absolute minimum of f (x, y) = x² +y² – 2y on the semicircle region D= {(r,y) | y> 0, x² + y? < ...

A: Given function is fx,y=x2+y2−2y and D=x,y|y≥0,x2+y2≤4. We have to find the absolute minimum of fx,y ...

Q: 3) Verify the divergence theorem where (a) F(x, y, z) planes x = 0, x = 1, y = 0, y = 1, z = 0, and ...

A: Multiple questions are asked. We are solving the first question. To get the solution for the other o...

Q: | 7. Find the solution to equation (1) that satisfies the initial conditions y(T/2) and y (T/2) = 0....

A: We can solve this using ordinary differential equation ,in this question first we solve complementar...

Q: The vibrations of an elastic string of length / are governed by the one-dimensional wave equation Th...

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Q: he function f(x)=3x2+2x

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Q: Suppose R* = Span (v,.,V4}. Explain why {v1,.,V4} is a basis for R*. 1**,V ... Complete the explanat...

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Q: 1 If Y = x? dy = ? then dz · +c O 22? O 2x 2 dy If y = 6x + 2.5x² + 7x + 2 then dr

A: 1. Given y = x2 So dydx = ddx(x2) = 2x Answer: 2x

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A: By the given data we can see  Howard Dean got majority votes. Howard Dean got 52.3% of total votes.

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A: Note: According to our guidelines we can answer only first question

Q: Determine whether the following argument is valid: She is a Math Major or a Computer Science Major. ...

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

Q: Let V be a vector space, and let v1, V2, V3, V4, V5 E V be distinct vectors in V. If B = {v1, V3, V5...

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Q: The differential equation y" + 7y' + 12y = 0 has fundamental solution set {e-3ª, e¬4ª}. Suppose the ...

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Q: Find the Volume of the region bounded by the graphs of y=√x and y=2sinx+1 and the x-axis with rotati...

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Q: 34. Use the bubble sort to sort 6, 2, 3, 1, 5, 4, showing the lists obtained at each step.

A: First step : 2, 6, 3, 1, 5, 4 [First swap]                     2, 3, 6, 1, 5, 4 [Second swap]       ...

Q: = 1. Define the function f : Z x Z → Z by 2. Suppose a,b are natural numbers with ged(a, b) f(m, n) ...

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Q: 39. Show that the graph of r =t sin ti + t cos tj + t'k lies on the paraboloid z = x² + y².

A: Here we compare r as its basic equation to prove this.

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Q: u(0, t) = u(2, t)=0 u(x,0) = r sin(rr)

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Q: The interior of a building is in the form of a cylinder of base radius 12 m and height 3.5 m surmoun...

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Q: Determine the x-intercept(s) of the graph visually. Then find the x-intercept(s) algebraically to co...

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Q: Consider the variable coefficient linear second order non-homogeneous ODE x?y" – 2xy + (² + 2)y = 3x...

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Q: Assume that A is row equivalent to B. Find bases for Nul A, Col A, and Row A. 11 5 -7 6 110 3 7 11 3...

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