How large should n be to guarantee that the Trapezoidal Rule approximation to -1 (-24 x² – 10x³ - 10x³ – 24x² - 4x + 4) dx is accurate to within 0.1. n =

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Q: The terminal side of an angle 0 in standard position has slope m= -1/2. If 0 is in quadrant IV, find…

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Q: Q4. Check to see if the following integrals converges. 0 1 e ∞o 1 Σ (b) Σ (c) Σ k=1 (k + 1)(In(k +…

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Q: 7. Which of the following relations are true if x(t) is real? a) X(f)=X(-f) b) X(f)=-X(-f) c)…

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Q: See the circular helix with equation D(t)= (-15 cost,15 sin t,8t). 1. Look for the value of t such…

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Q: Q(x) = √3/2+² Ser fet de Prove that & QQ (-∞ ) = 1

A: Here we can use Gamma function formula Γn = ∫0∞ xn-1 e-x dx to evaluate the given improper integral.…

Q: If A is a normed subspace of E, proof that bd(A) is a subspace of X.

A: Please check the answer in the next step

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Q: (This matrix represents contra-clockwise rotation by 45 degrees.)

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Q: 8) Consider the solid Q that is generated in the first octant by the surfaces S₁: (x - 2)² + (y-2)²…

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Q: Solve the given differential equations: 3x²y dx (x³ + y³)dy = 0, y(1) = -2 -

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Q: 3 Eigenvalues and Eigenvectors Represent the matrix A as A = V-¹AV, where A = diag(A₁..... An) is…

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Q: Consider the curve C which is the intersection of the surfaces shown in the accompanying figure. Z…

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Q: 1. From a corridor of VNHSain building 50 m above the ground level, the angle of depression of I…

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Q: Complete the following claims with the right answer. There are two critical points, (0, 0) and • The…

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Q: Hand written plzz : Find the Laplace transform F(s) = {f(t)} of the function f(t) = (8t) [U(t-4) -…

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Q: Allow T to be the surface with equation +3² = (2-3√2)² – 1 32 1. Provide the equations of the traces…

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Q: (x+y)² Prove: x = y if and only if xy: = 4 here: the "if" and the "only if" part. Note, you will…

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Q: 5 4 3 2 -5 -4 -3 -2 -1 3 -5- In the above graph of y = f( x ), find the slope of the secant line…

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Q: Let u(x,y,z) be a three-dimensional function, convert this equation into its corresponding numerical…

A: As per the question we are given the Laplace equation in 3 dimentional cartesian coordinates. And we…

Q: An automobile tire manufacturer collected the data in the table relating tire pressure x (in pounds…

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Q: Define fet)= et +etcost if t>#7/2 solve y(3) - 2y (2) + ý' - 2y = f(t) y(0) = 1₂ y'(o) = 2, y"(0) =…

A: Given differential equation is y3 -2y2 +y' -2y =ft   with   y0=1,  y'0=2,  y''0=4Here, ft = e2t if…

Q: Determine if the integral [Inxdx converges or diverges.

A: An integrals will be divergent if the associated limit either doesn’t exist or is plus or minus…

Q: See the circular helix with equation D(t)= (-15 cost,15 sin t,8t). 1. Look for the value of t such…

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Q: Prove the statement: For all integers a, b, and c, if a² + b² =

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Q: y(x) Use Euler's method with step size 1 to estimate is the solution of the problem y + 3x²y = x²…

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Q: Use the given information to find the exact function value. 63 Given sin a = = and <a<, find cos. 65…

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Q: Q1 Determine if the following integral converges or diverges : 1 ¡ -dx . (2x-1)³ -00

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Q: A patient is drinking  0.6 pint of orange juice every two hours. At this rate, how many quarts of…

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Q: Use two truth tables to show that each of the propositions are equivalent.  e.  (p \/ q) /\ r and p…

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Q: into partial fractions. Hence obtain the sum of the first 3 What is the value of S. ? k=1(k+3)(k+4)…

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Q: If p is false, q is true, and r is true, find the truth value of the statement. (~pv-q) v ~r

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Q: Define fct) = {est + e + cast if t 1/2 t>"/2 solve y(3) - 2 y(2) + ý' - 2y = f(t) y (0) = 1, y'(0) =…

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Q: [103] Find A from A where A = 4 5 1 a-57 b-67 c-77 d-87 e-97 [278] a C O do e

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Q: 11. Consider the equation dy/dt = ay - y³ = y(a − y²). (a) Again consider the cases a 0. In each…

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Q: Let f be differentiable on [a, b]. Prove that there is a sequence {x₂} ≤ (a, b) such that xñ ⇒ a and…

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Q: See the circular helix with equation D(t)= (-15 cost,15 sin t,8t). 1. Look for the value of t such…

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Q: Prove that there are no integer solutions to the equation x2 = 4y + 3

A: Given equation:- x²=4y+3  We have to prove that the given equation don't satisfy integer pair of x…

Q: Let G be the sphere having a diameter with endpoints (1, -9, -12) and (5, -1, 8). 1. Make an…

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Q: See the points D(4,-2,5), E(-1,3,5), and J(4 + 2√3, −2 − 2√3, 5+ 2√2), and the line / with symmetric…

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Q: Solve the following LPP using Simplex method.     Max P = 12X + 16Y     Subject to:            10x…

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