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Q: Evaluate the given integral along the indicated contour C. Jo 92² ² dz, where Cis z(t) = 3 cos³(xt)…

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Q: This is impossible to read there is no script and no way of knowing what this says. Can somoene…

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Q: Let (X, CA) be a measurable space, f: X (-00, ws) and 1: X (-∞, ∞0) are measurable. Prove that the…

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Q: Approximate 3 sin xdx using six equal subintervals. √³ 0 An approximation for the integral using six…

A: ∫0π3sinxdx

Q: The intervals on which f(x) = x² ln x is increasing and decreasing, and the intervals of concavity…

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Q: x² 11) Find a parametrization of the surface S which is the portion of the cone - + 25 25 and z = 3.…

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Q: if Z-4x²-8xy +7y5-3 then find Z, Zy, Zxx, Zyy

A: We know that ,  Partial derivatives of any function having several variables is it's derivative with…

Q: A tank contains 240 liters of fluid in which 50 grams of salt is dissolved. Pure water is then…

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Q: Use the method of reduction of order to find a second solution of the differential equation t'y" -…

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Q: The intervals on which f(x) = x² In x is increasing and decreasing, and the intervals of concavity…

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Q: 23 Cans are often arranged as shown below, in some shops. אוורס MILO MILO MILO MILO אוורס MILO MILO…

A: Sum of n natural numbers=n(n+1)/2

Q: 1 Let A 2-i -i . Question 1 (a) Show that A is positive definite by using principal submatrices of…

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Q: 1. dx dy 3 xy³ 2y¹ + x² E

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Q: 4. Solve (D² -3D+2)y=2x²eªx +5e³x.

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Q: 2. Let p,q and r be the propositions p: Grizzly bears have been seen in the area. q: Hiking is safe…

A: Given- Let p, q and r be the propositions  p: Grizzly bears have been seen in the area. q: Hiking is…

Q: Introduction to Calculus in Economics: Calculus is a powerful tool used in economics. One of the…

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Q: Solve using Gauss-Jordan elimination. = 14 = 12 2x13x25x3 x₁ - 4x₂ Write the system of equations as…

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Q: Consider the double integral f(x,y)=(x²+y²)3/2 over the region R where y is bounded between 0 and…

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Q: 1-a) Use Runge Kutta fourth order method to integrate y' = 4e0.8 -0.5y from t=0 to 3.0 S with step…

A: given function y'=4e0.8t-0.5y from t=0 to 3.0 with step size of h=1. the initial condition at y0=2…

Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

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Q: #3 Use (#1 and #₂ 47'+44 y no need to repeat to find the solution of २x = 3 ex + x sinx anf work…

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Q: At the Find the moments when the two distance, given vectors of velocity and acceleration are…

A: The given vector is R→t=2 i^+5 cost j^+3 sint k^ ,   0≤t≤π ....(1) To find: the moments of the…

Q: 8) Let a 3-2 +45 for n-0, 1, 2, 3,... If we write an as a recursive relation, it is Hint: calculate…

A: 8) Given an=3.2n+4.5n for n=0,1,2,3,...   To Find: an as recursive relation

Q: 5. Prove that the set of points at which sequence ef measurable real-valued functions converges (to…

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Q: Q3. (a) Define Half-Range Fourier Expansions. For the function corresponding to the graph given…

A: Given the graph is

Q: Given the values of f(x), g(x), f'(x) and g'(x) in the table, answer the following questions. x f(x)…

A: Given: Values of f(x), g(x), f'(x) and g'(x) in the table below: x f(x) f'(x) g(x) g'(x) 1 4 3…

Q: In the isosceles triangle ABC, AB=AC=5 units and BC=6 units. Find the location of the point D on the…

A: Consider the information given in the question and draw the diagram, Here we can observe that ABC…

Q: The first five rectangular numbers are shown: . 3 2 a. Make a sketch to represent the eleventh…

A: Introduction: When a certain number is arranged in a rectangular manner, the number is referred to…

Q: b) Solve the following system of differential equations: [2 »-8 where A = 0 0 dy(t) dt = Ay(t) with…

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Q: Use the parameter variation method to solve this problem. Write the solution in y=f(x) form. x²y"+…

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Q: = The intervals on which f(x) x² In x is increasing and decreasing, and the intervals of concavity…

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Q: Calculate the ide of the tension and the angle for which the eye bolt will be under a estant down of…

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Q: 3. Determine whether the following integrals are convergent or divergent, and evaluate those that…

A: We know that , Improper integral of the function fx over interval -∞ , ∞ are of the forms ,  ∫a∞…

Q: Consider the double integral f(x,y)=(x²+y²)3/2 over the region R where y is bounded between 0 and…

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Q: 6. Let S be a set with a finite number of elements, and let f: S→→ S be a map (a) If fis onto, can f…

A: We are authorized to answer one question at a time since you have not mentioned which question you…

Q: 11. Show that the quotients field of the integral domain Z[i] = { a+ib: a, b e Z} is K={x+iy: x, y e…

A: From the above details we have,

Q: Q4/ Find the trigonometric Fourier series for the periodic function f: of period 27, be given by…

A: The given problem is to find the Fourier series expansion of the given periodic function with given…

Q: Solve the linear programming problem using the simplex method. Maximize subject to ⒸA. The maximum…

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Q: An object in rectilinear motion moves with velocity v. The table shows u (in meters per second) for…

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Q: 8. Explain which rules of inference are used for each step. "Somebody in this class enjoys whale…

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Q: Q1) Answer the following a) If a 7 × 5 Matrix A has rank 2, find dim(Null A), dim (Row A) and rank…

A: (a) Given that A is a 7×5 matrix of rank 2. To find: The dimension of Null A and dimension of Row A.…

Q: OLA: Sate the following system by (method of inverse ) 2x1 + 3x2 = 5 x1 - 2x2 = -1

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Q: 1 1 1 3. S S S «x +. [(x+y+z)dydxdz -1 -1 -1

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Q: Exercises 1) Find x for x³ - 2x - 3=0, xo = 2, x₁ = 3. correct to 3 decimal places

A: We have to find x for x3-2x-3=0, x0=2, x1=3

Q: Dy we he f(x) = x² 3x+4 have f(2) • find fixed point of fcx,

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Given that σ is the part of the surface z = 2 − y in the first octant from x = 0 to x = 1. If ψ(x,…

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Q: Use the table of Laplace transforms to find the Laplace transforms of the following functions. cos²…

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Q: Theorem The bisection approach is always Convergent proof we have /*<={\</6-=-a/ also os | k-ek 16-9…

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Q: Using the following method, determine the smallest positive value of x that satisfies the given…

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Q: The first five rectangular numbers are shown: . . 3 a. Make a sketch to represent the eleventh…

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