Find the solution for following variable separable equation: dy/dx = (y²-1)/(x²-1) , y(0)=0

Q: 4. Describe all matrices row equivalent to the matrix: [B]

A: Since you have posted a multiple question according to guildlines I will solve first(Q4)   question…

Q: Rewrite the following in Vertex form: a) f(x) = 2x² - 3x + 4 b) g(x) = c) h(x) = 2x =-2²-²-1 3 5…

A: Vertex form of a quadratic polynomial is                               f(x)=a(x-h)2+k ,  where a,h,k…

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Q: QI) Find the volume of the solid generated by revolving region bounded by curves (y == secx and…

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

Q: ⒸS&* dx + x ² dy + + sin(ty") de 3, Xe с: C: y=x² : 31 R(t) = (t₁, t², t²) t = [0, 1].

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Q: the form Many physical processes, e.g., radioactive decay, are governed by an ODE of u' (t) =…

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Q: Explain all methods of elimination for constructing the general solution of a homogeneous…

A: To Explain: All methods of elimination for constructing the general solution of a homogeneous…

Q: - немеиста near Algebrate manx A5 12 45 = 5 cal use A5 15 2 -3 -3 The t to hilpotent - envagues show…

A: Given matrix, A5=22-251-315-3

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A: We will find parametric from of the ellipse and then integrate it by converting every things  into…

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A: Here, we have to find the index so that sum starts at 0. We substitute the value in given sum.

Q: Let F(x, y, z) = (3ry2, 3r²y + 4r, re") and be an oriented surface of the solid bounded by the…

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Q: 1. Estimate the integral of a function from a=2.4 to b=9.6 from n=1 to n=9 using 1/3 simpson rule.…

A: Simpson's 38 rule: ∫ydx=3h8(y0+2(y3+y6+...+yn-3)+3(y1+y2+y4+y5+...+yn-2+yn-1)+yn).  Here h=b-an and…

Q: Demonstrate that the Simple Rotation Theorem holds true: Ã = ŕ cos 0 — ñ × û sin 0 + ñ · ūū(1 − cos…

A: Given: Given details, rf¯=rcosθ-r×u⏜ sinθ+r·u u(1-cosθ) To demonstrate the simple rotation theorem.

Q: If​ a, b, and c are digits for which the following​ holds, then a+b+c=​_____.     6 a 2 − 4 9 b   c…

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Q: - 3. Given f(x) = 2x² − 3 and g(x) = 3x +1. Find f(-4), g(1/6), (fƒ+ g)(-1), (fƒ— g)(4). Solution:

A: Given f(x)=2x2-3 and g(x)=3x+1 We need to find f(-4) ,g(1/6) ,(f+g)(-1), (f-g)(4)

Q: Sketch the level curves of g(x, y) = 1 - y² x² where k € {-1,0, 1}.

A: To Sketch: Level curves of g(x,y)=1-y2x2 where k∈{-1,0,1}.

Q: (b) 21-1 lim x³ + x² + x + 1 = 4.

A: Given : b limx→1 x3+x2+x+1 To Prove : limx→1 x3+x2+x+1=4

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Q: Question 22 Which is NOT a solution to the differential equation y"- 4y + 4y=0? A (В D (E) y=e²r…

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Q: Show complete solution. All circles tangent to the x - axis. Answer: [1 + (y')²]³ = [y” + 1 +…

A: Standard equation of the circle with center at (h,k) and radius r is,  x-h2+(y-k)2=r2 If the tangent…

Q: What is the order of the differential equation x²dy/dx-2xy = 0? A) 2 B) 0 C) 1 D) 3

A: Order of the differential equation

Q: 4. Use the method of separation of variables to find the general solution of the following 1st oder…

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Q: || A|| = max ||zi||1, Ki≤m for any real m x n matrix A, where zi, for i=1,2,..., m, are the row…

A: To Prove: ∥A∥∞=max1≤i≤m∥zi∥1, where A is any real m×n matrix and zi , i=1,2,....,m  are the row…

Q: Given: NA EA A-(1030.00 N, 990.00 E), B (1040.00 N, 1120.00 E) ZA= 51° 54'41", ZB = 53° 12'46" AC =…

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Q: Determine the derivative dA/dx if cos²x sin(x²) 7x3 tan x A = sin 3x In x² 2x² +8 e¹-2x] 52x+1]

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Q: 5. Find the half range cosine Fourier Series for... the function: ....(x)..=... X T-X OCX< <x<T

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Q: Simplify the sums: 2.2(x²+2x+1)-2Σ₂(+1)

A: Given : ∑x=2∞ x2+2x+1-2∑j=2∞ j+1 To Find : Simplify the sum

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Q: Consider the line integral = rydy - y²dr where is the square cut from the first quadrant by the…

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Q: What are the intervals of monotonicity of f(x) = arctan (2(x-1)) - ln IxI ?

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Q: nd then compute the sum of the Σ(1) ₂²

A: Find the answer below.

Q: Which is NOT a solution to the differential equation y"- 4y + 4y=0? A B (E) y=e²r y=2e²x+3xe 2 There…

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Q: Find the sum: -3 1. Σ=o (3) k=0 4 2. Σ=0 (3) 3. Στo (5) Σκ

A: We will expand the sum using the formula for  nk as nk= n! k! (n-k)!

Q: y = c sinx

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Q: 1. Use the tables to find the z transforms of the following j. 2n k. (-3) 1. sin(nπ/2)

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Q: Find the transversality condition for functionals of the form X2 I= [ A(x, y) √ 1 + y^² dx XI when…

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Q: sofe b. Translate the line in part (a) to the right 2 units and up 3 units. 1 9. a. Graph y=-x. c.…

A: Given:        y=14x

Q: [1 3 -670-1-61 4 2 B = 2 -1 L4 3 2 3 -2 5 2. Given: A-1 3 Find if possible: a. A+B-C b. BT-AT + CT…

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Q: 8. dy dx || = -X y

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Q: Suppose that a, b € Vand S € V2 are given. By expressing these quantities in a coordinate frame, or…

A: Given: The given identities are a) S(a⊗b)=(Sa)⊗b b) (a⊗b)S=a⊗(STb) c) (a⊗b)T=b⊗a To find out the LHS…

Q: The displacement, s, in meters of an object moving back and forth in a straight line can be modeled…

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Q: 2. Find the minimal polynomial of A, and find a basis of generalized eigenvectors of Aj.

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Q: (c) A(BC) = (AB)C [Associative law for matrix multiplication]

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Q: d : 1 (p) = [ * sin(p)(1 + 1)dt, p → ∞

A: Given: The given equation is I(p)=∫01sinp(1+t22)dt, p→∞ To solve this equation by using the Bessel…

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

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