"₁ If (1,2),B=(-2,3), sowe (b) (2) (1) (2) (一宮)(B)

Q: 000 SUD 31 (i) y" +4y= 2 cos²x+10e

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Q: Find the Fourier Series of the given periodic function. f(0) = {-1, if -n≤t<0 if ost<n if sin3t…

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Q: Simpson's Three-Eighths (Use n = 12) 9. So¹ (3x²+3) dx 10. (2 sin x + 3cos 2x) dx

A: First we find general solutions: 9.  ∫13x2+3dx=∫13(x2+1)dx=13∫1(x2+1)dx=13tan-1x +c    then…

Q: Prove that if f, g area analytic at ro and g(ro) #0 then f/g is analytic at ro

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Q: Determine inverse z-transform of the following equations: Z 2² a. b. (2-2)² (2-1)(z-0.5)

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Q: Find the intervals of increasing, decreasing, and concavit min. and inflection points, for f(x) = x²…

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Q: Formula valid for matrices? explain why? (A + B)(A - B) = A²B²

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Q: Exercise 15.2.8 Y 1₁² Find ► Hint dA where D = {(x, y) : x ≥ 0, y ≥ 0, x² + y² ≤ 1}.

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Q: dªy Using the reduction of order method, find the general solution of the differential equation dx4…

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Q: Please provide a step-by-step and clear solution to each of the problems below. 1) Parabolic…

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Q: A contour map is shown for a function f on the square R = [0, 4] × [0, 4] 12 12 Use the Midpoint…

A: Solution:-

Q: Using Bisection method find the root of cos(x) - xex=0 with a = 0 and b = 1. Show your solution…

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Q: y" − 7y' +6y=−e* [17 cos x-7 sin x] y(0) = 4; y'(0) = 2; -

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Q: 8.M.2 One can define a bilinear form on R2 by the formula ‹ [ 8 ], [ 8 ]› = ac − 3ad − 3bc + 7bd. a)…

A: We have to find the Gram matrix G of the given bilinear form. Then, we can proceed further.

Q: Using the linearity of the inverse Laplace transform, solve for the solution of the differential…

A: We have to find a solution to the given differential equation.

Q: Which of the following statements is/are true about non-Euclidean geometries? I. In non-Euclidean…

A: To find the statements which is/are true about non-Euclidean geometries.

Q: List the members of these sets, x | x is the square of an integer and x < 100.

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Q: The velocity of any object, vgliding into atmosphere can be approximated as: V -mg (1-e²) C If the…

A: The velocity of sound at sea level is about 340 m/s. Newton-Raphson method uses the formula:…

Q: i) Discuss the pros and cons of the various numerical methods such as the bisection method, linear…

A: The Bisection method is a method used in mathematics that helps an individual find the square root…

Q: Solving manually, the equation f(x) is given as x³ - x² + 4x -4 = 0. Considering the initial…

A: Option B is correct   I attach explanation in second step, i hope it will help you and you like my…

Q: Consider the following optimisation problem min f(x, y) = x + y − x2 subject to x + y ≤ 1 x ≥ 0, y ≥…

A: As per the question we are given a optimization problem as : min(x,y) x+y-x2 s.t. x+y≤1 ; x≥0 ; y≥0…

Q: 6. We always prove an argument. 7. If an argument is true then it is valid. 8. Suppose a declarative…

A: Since you have posted a multi subparts question according to guildlines I will solve first…

Q: 4. Let R be the relation {(1, 2), (1, 3), (2, 3), (2, 4), (3, 1)), and let S be the relation {(2,…

A: To find the composition of two relations R and S . the domain of S°R will be same as domain of R…

Q: N 2 (2-1) (2-0.5)

A: The detailed step is given below. We do the partial fraction by first subtracting adding "1" in the…

Q: Using Fixed-Point Iteration with an initial value of zero, find a root of the function: f(x) = x³ -…

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Q: Find the z-transform of the following equations: a. 2un+n b. cos(3n) + 2 sin(3n)

A: According to our guidelines I can answer only question no. (a)

Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. In(x+1)³ 3. Lim 3 X→∞0 6x

A: Solution

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

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

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Q: K(G) < K'(G) < 8(G).

A: For a graph G ; κ(G)=Vertex connectivityκ'(G)= Edge coonectivityδ(G)=Minimum degree of G

Q: Problem 2 Find the z-transform of the following equations: a. 2un+n b. cos(3n) + 2 sin (3n)

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Q: Which of the following statements is/are true about non-Euclidean geometries? I. In non-Euclidean…

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Q: Evaluate the integral L I sin (y²) dy dr.

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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: B/A block of ice in the shape of a right circular cone is melting in such a way that both its height…

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Q: d²y 5. Consider the differential equation dy 6- +9y = 9x + 3. dx dx² (a) Find the general solution.…

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Q: 1 Find the Hankel transform of xve-ax, taking xJ, (px) as the kernel.

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Q: Compute the Fourier series for the given function ? on the specified interval.

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Q: k 21. The following differential equation describes an electrical circuit with I the current at time…

A: The solution is given as

Q: X L479 1 4 11 f(x) 12 -23 -15 33 -13

A: Lagrange's interpolation polynomial for n points can be defined as:…

Q: 4-Let (Z12, +12) be a group and let S={4,6}, find subgroup H generated by S. if exist

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Q: (a) Find the mass, M, of a solid sphere with radius r = 2 and density function given by f(r.o) = ² =…

A: A solid sphere with radius r=2 and density function given by…

Q: If A = 3xyz²i + 2xy³j-x²yzk and p = 3x² - yz, find (a) V-A, (b) A-Vq, (c) V.(Vo) at point (1,-1, 1).

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Q: A dart board consisti radius 1, 2 placed against a wa which lands at some hc

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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: 7.) John borrowed P4500 cash from his friend. His friend's condition is that he must pay his debt in…

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Q: Use the method of reduction of order to find a second solution of the differential equation ty" +…

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Q: x=r-s, y= Q2/ Find ow/or if w= (x+y+z)³, cos(r+s), z = sin(r + s) at the point (r, s) = (0,1)

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Q: Given transformation T: R³ → M2x2 which is defined as T(x, y, z)=(x + y ) 1 M2x2 is a vector space…

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Q: For questions no. 4 and 5. Given: Radium decomposed at a rate proportional to the quality of radium…

A: It is given that the rate of decomposition of radium is directly proportional to the quantity of…