Evaluate So ·∙log 1+ax 1-ax (: ( dx x√√1-x²

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A: A connected graph G is said to be Eulerian if the graph G has a Euler circuit. A graph has an Euler…

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Q: In Exercises 9 to 12, determine whether the two graphs are equivalent. 10. B с A E D с E D B

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Q: Exercise (1-3): By Charpit method solve the following PDE (3): p²-q²y = y²-x² (4): (y² +4)xpq −2=0

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Q: Show that if 4, and A, are two events, then P(A₂)+P(A₂)−1≤P(44₂).

A: First we will write Inclusion-exclusion principle for two sets.

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Q: Q3/Find the value of x If the approximation of the integral f f(x)dx by trapezoidal method is given…

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Q: Q₁/ show that whether the functions are analytic or not? Z 10 f(₂)= =, @ f(²)= | ² | 3 f(²)= 2₂²₁…

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Q: 4. Find f(5) using backward difference method of the function f(x)= 7x³-5x + 1 = 2x¹ + x² + 1 with a…

A: Solution: let-x1 = 2.5 and x2 = 7.5x = 5Step value h = 0.5 using Newton's Backward Difference…

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Q: (-) 2 _x(n) =| n [u(n)—u(n–10)]

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Q: show that Q (rational numbers) is negligible set.

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Q: 4 to onabans ! (0)0 4. Prove that

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Q: If ƒ (0) = 1, ƒ (1) = 2, ƒ(2) = 33, f(3) = 244. Find a cubic spline approximation, assuming S" (0) =…

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Q: Find (2) and (7) at the point (w, x, y, z) = (48,1, -2,-2) if w=3x²y² + 3yz - 3z³ and x² + y² + z² =…

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Q: ▪ Homworke Example 2 The point P(x, y) is given an anticlockwise rotation of radians about the…

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Q: C, ++ +

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Q: /Solve the following Assignment problem using the Hungarian method.. 12 3 4 5 J1 83 7 6 2 J2 51 514…

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Q: Use Laplace transform to solve the partial differential equation: d'y dy +xt where y(x,0) = 0,…

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Q: Given: f(x, y) = xy + 8; R is bounded by y = x7.5 and y = 7.5x Question: What is the average…

A: The region bounded by  y = x7.5   and  y = 7.5x is shown

Q: (iii) (1) Find the x-intercepts of the parabola. Give your answers in decimal form, correct to two…

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Q: Howe if S IS (finite or infinite) Countable set, then prove that M" (S) =0.

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Q: Problem 13 Compute the three following inverse Laplace transforms: 72 8s 12 L-1 (²-3), 2-1(8+6}, and…

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A: We can use calculus to maximize area  For relative maximum or minimum To maximize or minimize  a…

Q: For any positive integers m, n (

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Q: Given the following 2√2 h3(n): (²1³) " (n)u(m) 3 2.1 Determine the system function H(z). Simplify…

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Q: 0: PC (q)

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Q: Question: Find the mass of a plate bounded by one arch of the curve y = sin x, and the x-axis, if…

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Q: ABC is a triangle having the angle C a right angle. Equilateral triangles ADB, AEC are described…

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Q: If 11z¹ +10iz⁹ +10 iz-11 = 0, find the possible values of [z].

A: The given question is related with complex analysis. Given the equation 11z10 + 10iz9 + 10iz - 11 =…

Q: III. What is the image of the line with equation Y = 5X +7 under op, where P = (-3,2).

A: III) Note-AS per our policy we solve 1 question at a time. for other questions to solve them please…

Q: The amount, in milligrams, of a medicinal drug in the body t hours after it was injected is given by…

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Q: Find the probability that. a Family of y children w be at least (1) boy prob

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Q: Learning Task 4: Find the extrema of the following function on the given inter- val, if there are…

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Q: 3. Express the given integral as the limit of a Riemann sum but do not evaluate: So (x³ - 6x) dx.

A: Solution:-

Q: Use Taylor series method to compute x(0.2) and given that d²x dx de -4x=0,x(0)=1,-(0)=2 dt² dt dr…

A: Taylor series of f(x) at x=0, is given by fx=f0+xf'0+x22!f''0+x33!f'''0+x44!f''''0+.....

Q: If Ø (z)= y + ja represents the complex potential for an electric field and a =p² + ;+ (x+y)(x−y)…

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Q: Q3) A building was photographed using an aerial camera from a flying height of 1000 m. The photo…

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Q: Prove the following using the Principle of Mathematical Induction: n(n+1)(2n+1) for n EN. a. P(n):…

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Q: Use Fourier transform to solve the partial differential equation: ди d²u ax² du(0,1) -10u: x>0,t> 0…

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Q: 9. Find a conform al mapping such that the complex plane minus the positive z-axis is trans- formed…

A: Consider the equation w=1/zw=1/z which establishes a one-to-one correspondence between the nonzero…

Q: Are the following statements true or false? ? 1. If A is a matrix, then the dimension of the row…

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Q: In Exercises 9 to 12, determine whether the two graphs are equivalent. 11. D B C B A A

A: Introduction: A graph is a set of points, called nodes or vertices, which are interconnected by a…

Q: Prove that for any integer k, at least one of k, k + 2, or k + 4 is divisible by 3. (Hint: consider…

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Q: (b) Consider the second-order differential equation: x" + 3x² + 4x = t² +3e¹ Using the method of…

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Q: We are making 5-letter words from the set of letters a, b, c, d, e, f..., in such a way that we have…

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Q: 3. A probability mass function for a particular random variable y having nonnegative integer values…

A: We obtained the pmf and moment generating function. The detailed solution is attached below.

Q: Suppose f: A B and g: BC are functions, show that a) If both f and g are one-to-one, then go f is…

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