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Q: Use the multiplication table to divide the given numbers in the indicated base. 2four 200 four

A: Solution :-

Q: Numerical Differentiation: f(x) = e² 1. COS X -2 Find f(1.5) and step size of h=0.75 and 0.1

A: We will use Forward Differentiation formula f'(x) = {f(x+h) - f(x)}/h  to find the value of f'(1.5)…

Q: cosec²x + 2cosec²x + 3cosec²x + ... + n° +ncosec²x)sin²x

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Q: Determine the area bounded by f(x)=x²-X and x-axis. A 1 4 unit² B unit² (C) unit² D ~/m 6 unit²

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Q: 1) 0.7 Estimate f(x) dx, 0 from the graph of f. Use the Trapezoid Rule. a) 2 b) 2.25 c) O 22.5 d)…

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Q: Let (D30, ) denote the poset of all divisors of 30. a. Show that D30 is a lattice. Explain. b. Is…

A: Let < D30, | > denotes the poset of all divisors of 30

Q: solve each equation in the interval 0<=\theta <2\pi  a)sec^(2)\theta =4 b) sec((5\theta )/(2))=-2

A: solve each of the following equation in the interval 0≤θ&lt;2π (a) sec2θ=4 (b) sec5θ2=-2

Q: Find the centroid of the solid bounded by x² = 4y and y = 5x - x² about the x-axis.

A: We will draw the region and rotate it about x-axis to create a solid of revolution . We will need…

Q: 2. Consider the following first-order ODE: (a) Solve by hand with Euler's explicit method using h =…

A: Given the differential equation dydx=x-y with the condition y0=1 and step size h=0.4 Solve using…

Q: Which of the following methods can be applied to find a particular solution yp y"+y=cos(e-x)? A…

A: y''+y=cos(e-x)

Q: 1. Can we use cofactor expansion in any n x n matrix? Why? How? 2. Does a 1x 1 matrix has…

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Q: Prove A by Contradiction

A: Solution :-

Q: Consider the function f(x, y) = x²(y + 1)² + k(x + 1)²y². (a) For what value(s) of k is the point…

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Q: From a table inside a room with current temperature of 26 degrees Celsius, a left over Fried Chicken…

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Q: Determine which of the given differentials is/are exact. In case it is exact, find the functions of…

A: For a given differential A dx +B dy +C dz Where A,B,C are function of x,y,z  will be exact if for…

Q: Given f(x)=4x+1 and g(x)= x²+x-3: Use the cylindrical shell method to determine the volume of solid…

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Q: Given the following: xex cos x = 0

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Q: Find the surface area generated by y = x³; x = 0 and x = 3 and is revolved on x-axis.

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Q: Q1/A/ Solve the following. Choose live only. In(x+2) dx 1. S 2x+4 2. fx² ex dx 3. Stan³x dx 12 4. S…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: 2A T -t + A, 2A --t + A, T -T t≤c 2 T 0 Osts 1/2

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Q: Let A={mez: m = 2a for some aeZ}, B= {mez: m = 2a for some aeZ}. Show that A=B. (need to show A≤B…

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Q: Find the Fourier transform of the given waveform. A1) -2 -1 1 0 1 2 (s)

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Q: 1. Newton's Law of Cooling: At 9:00PM., a thermometer reading 70°F is taken outdoors where the…

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Q: Let W be the subspace of R4 spanned by {u₁ = (1, 1, 1, 1), u2 = (2, 4, 1, 5), u3 (2, 0, 4,0)). Using…

A: The solution is given as

Q: (b)show that: I(cosh at cos at) s++4a4

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Q: SHOW COMPLETE SOLUTION (NO SHORTCUTS PLEASE) (Differential Equations) The general solution of y" - y…

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Q: Numerical Integration: •2 S² = 1. -dx X

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Q: Q2/ Find the first moment about y-axis of the region in the first quadrant bounded by the x-axis,…

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Q: 4. When solving for the solution of higher order differential equations, the presence of x in the…

A: NOTE:Kindly repost the other question as a separate question.  When solving for the solution of…

Q: What is the general solution for the differential equation y" + y' = cos x + 4e¯*? A. y = Cx +…

A: Solution:

Q: Using any of the methods discussed for both numerical differentiation and numerical integration…

A: f( x) = sinx - x3 + 1 By Midpoint method f'(a) = (f(a+h) - f(a-h)) /2h

Q: y" + 3y² + 2y = 12x²; y(0) = a, y'(0) = b Find the solution. A y(x) = c₁e²x + c₁₂e-2x+6x³-18x²+2 B)…

A: given, y''+3y'+2y=12x2, y(0)=a, y'(0)=b General solution of y(x)=yc(x)+yp(x) for homogenous…

Q: Let g be a differentiable function, and let the range of g be an interval 7. Suppose that f is a…

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Q: (a) Find the Fourier transform of the function g: RR defined by Ste-kt, for t > 0, g(t) = otherwise.…

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

Q: Which of the following is homogenous of smallest degree? x² + y² A X x-y B C D x-y In x - In y √√x+y

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Q: A jewelry box is constructed by partitioning a box with a square base as shown in the accompanying…

A: This is a problem of optimization.

Q: Using any of the methods discussed for both numerical differentiation and numerical integration…

A: Solution : Solution of an Equation sin(x)-x3+1=0x1=2 and x2=4x=3.1Step value h = 0.5 using Newton's…

Q: 3.1 [Write-in] The matrix 0 0 7 -3 0 0 0 A = -1 0 0 10 -4 0 -4 6 is positive definite. What is the…

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Q: Show that the Bessel functions J, (v ≥ 0) satisfy where A, are the positive zeros of J,,. [* IJs…

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Q: Find the eigenvalues of the following matrix, Z: 1 -1 01 Z = M 2 -2 1 NJ For this question, you are…

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Q: 1. Graph by using the slope and the y intercept. a) y = x-7 10 8 -10 -8 -6 -4 -2 6 8 10 CO 6 4 2 -2…

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Q: [2 + m 3 1 1. Given A= a. (AB)¹ - A b. 4A-¹ + 2B-1¹| a. 2AB-1 1 2 -1 -1 4 5+ ml and B = [-1-m 2 3…

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Q: Reduce the linear DE (2xy + x²+x¹) dx − (1+x²)dy=0 to standard form (A) +y−2x)=x?(1+x2 dx dy B…

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Q: 2 SECTION A: MULTIPLE CHOICE QUESTIONS [40] dy 1. The complementary equation to +2 + 4y = 5e-3t is:…

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Q: Evaluate the iterated integral by converting to polar coordinates. "√4x² [² [V² - x²-x² - y² dy dx

A: A more than one critical is a specific critical of a characteristic of numerous actual variables in…

Q: 3. Which is NOT the correct statement of a degree of a vertex? B F A) d(E)=6 B) (B) = 4 OC) d (C)-3…

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Q: Prove this: A=B iff A° U B = Ω =

A: Solution : First prove left to right, If A⊂B is true , All elements of A are inside B, Then Ac is…

Q: Evaluate: lim (1 + 2* + 3* + ... + 99t)¹/x X→∞

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Q: (Higher order riation of parameter) Consi- 12 &(n) + Cª(z)g(0) = g(n). as(x) y(i) = g(n) + an-1(x)y…

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Q: Theorem :- Let (F9 +1²) is a field and fale F(X). then the ident (f(x)) is maximal ideat iff iff.…

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