1 Assume that 1 < a < b_and equation is solvable. + x = Show that this * – b'

Q: Note that 1/4 ≠ 1/2; but (1/4)^(1/4) = (1/2)^(1/2). Use the hint "y = x^x" to prove that there…

A: Please check next step for details.

Q: 15 estimate, root of fa) =x²-7.

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Q: find the implicit derivative 2 3u3 - 4xt by? -by= 5x°+y

A: Given:- 3y3 - 4x +6y2 -6y = 5x3+y To find:- Derivative of given implicit function

Q: given f(x,y)=ex^3 . y^8-x8y3 ,show that fxy=fyx

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Q: Consider AR(2) X = = $₁ X 2-1 + $₂ X=-2 +²+ A ^ find estimates , & $₂ using method of moments.

A: Consider a zero mean discrete time series xi1N which is an AR process. The equation for AR(2)…

Q: Suppose Y uni f (0,5). Determine the probability that the following quadratic equation x² + 2xy + Y…

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Q: Use the intermediate Value Theorem  Let f(x) = 3x^3 - x^3 + 1. Show that there is a number c,…

A: Note:-Since you asked multiple questions, according to our policy we can only solve first the…

Q: y = x* + 2 sin(x) + xº + 24*.

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Q: If you need to prove that a ∈ f^−1 (Y ), what do you need to show?

A: Here we need to show the way to prove a∈f-1(Y)

Q: For the elliptic curve y^2 = x^3+ 4x, compute Np and ap for p = 3, 5, 7, 11

A: Let E be a nonsingular elliptic curve defined over a finite field with p elements. Then the number…

Q: Show that y^3dx+3xy^2dy=0 is separable and exact

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Q: part A. let C be a curve of points in R^2 which satisfy the equation  x^3 + xy +y^2 =3. use…

A: We will answer the first question since we answer only one question at a time. Please submit the…

Q: Suppose the distance (in feet) rest is given by the function f(t) = 3t ^ 2 (0 <= 1 <= 30) . a).…

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Q: Let f(y) = ⌊y⌋. Find a) f^-1({0}). b) f^−1({−1, 0, 1}). c) f^−1({y | 0 <y< 1}).

A: The given function f(y) is floor function:   The floor function is defined as: fy: The greatest…

Q: Now, differentiate the function y' = 4x(1 + 2 In). y" = 4 + 8 + In + 8 In

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Q: Find the orthogonal trajectories of family of curves x-y=cx^2

A: To determine the orthogonal trajectory of the equation f(x,y)=c Find dydx Replace dydx→-dxdy Solve…

Q: E (3x(9 ^ b) V Jaæ(p ^ 0)) = 3x(p A (4 V 0))

A: To prove ⊢(∃x(φ∧ψ)∨∃x(φ∧θ))≡∃x(φ∧(ψ∨θ)) Here we have to use existential quantifiers i.e. notation of…

Q: of A5 A=14=44 A4 = -4 -2 5 A6-

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Q: Find the number of roots of the equation z^4+4z-1=0 in the annulus 1/3<|z|<2.

A: Rouche's Theorem : If f(z) and g(z) are two analytic functions within and on a simple closed curve C…

Q: If |z|=1,show that (z^-1) =(z congegate)

A: Given z=1 We have to show that z−1=z¯ Since, z=1 ⇒z2=1 We know that z2=zz¯

Q: Prove that zero is a root for the equation ax' + bx² +cx+d = 0 if and only if d = 0. What can you…

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Q: If 2x^4 + x^2y^2 - y^8 = 3x^2 + 4,what is the value of dyldx at point (4,1)? %3D

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Q: Find the orthogonal trajectories of the given family of curves x^2 + y^2% D c^2. *

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Q: Substitute the value of y' in 1 + (y)²

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Q: What is the residue of the function f(z) = (z^2 + 1) / (z^3 - 2z) at the point z = i?

A: We have to calculate the residue at

Q: p5 _3ar4 +23r2 h (r) 4r2

A: Given that h(r)=r5-3αr4+2βr24r2 We need to find out derivative of h(r) respective to r.