4. a) Determine the equation of the inverse of the given function. State the domain and range. f(x) = -3 (x - )´ + 2 b) Is the inverse a function? Circle Yes No Explain.

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Q: 1. Check that the following functions on R² are norms: 1/p a) || (x1, #2) ||,= ( 1z1P + \zal" ) b)…

A: Given: a) x1, x2p=x1p+x2p1/p, 1≤p&lt;∞ b) x1, x2∞=max x1, x2 To check: Whether the given functions…

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Q: 1. Calculate if possible: 1(1 4 -1)(1 4 -1 (e) (; (a) 4 + 2 1 (b) 0 -3 | 5 -8 6 0 5 -3 1 3 7 2 3 (d)…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

Q: Use the direction field given below to sketch the graphs of the solutions that satisfy the given…

A: To find- Use the direction field given below to sketch the graphs of the solutions that satisfy the…

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Q: dx + 3t?x = x?t et3 solve by Bernoulli's dt Equation

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Q: Eliminate the parameter for the given parametric equations to write an equation in the form of y=…

A: emination of the parameters in  Parametric equations

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Q: 9. Find a basis y1(x), Y2(x) of the space of solutions to y" = Y such that Y1 (0) = 1, y (0) = 0,…

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Q: Obtain the matrix representation of the CNOT gates given in (a) and (b). Prove the circuit identity…

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Q: use the exacr differentials to solve the differential equation. ydx + (x + x³y²)dy=0

A: The given differential equation is: y dx +x+x3y2dy=0 Result: A differential equation Mdx+Ndy is said…

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Q: 9. Solve the following Linear Programming Problem by graphing it, and using the method of corners.…

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Q: Find the solution. y'-y =y?e* с —х A y = B y = с — х C) y = C+x с +x D y =

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Q: Find the general solution of (x+2y– 4)dx-(2x+5-y)dy = 0

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Q: a. Draw an acyclic graph with 7 vertices and 4 components. b. Prove that if G is an acyclic graph…

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A: The union of two sets A and B means the set that contains all elements of A and B.

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Q: A. Find the general solution of the DE: y" - 2y' +y = 6e'

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Q: Prove that (a, b) | = |(c, d) | for any numbers a, b, c, d where a <b and e<d. Proof:

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Q: 1. -ay + A sin dy 2 = Br, dt

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Q: 8. Find a particular solution yp(x) to the equation y" +y' – 2y = 5 sin x in the form yp(x) = c1…

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Q: Find the Maclaurin series for r2 + tan a and using that series, derive the Maclaurin series for 2x+…

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Q: What is the minimum monthly rainfall in mm? O 78.1 O 52.3 O 64.4 O 56.0 O 62.9

A: We can use the formula Monthly rainfall = mean daily rain×days per month, to find the monthly…

Q: Exercise 10. Let Z be the set of integers and R be the relation on Z defined by: aRb if and only if…

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Q: 7. (a) Use Newton's method ONCE with an initial guess of ro = 0.1 to find an approxi- mation to the…

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Q: () - - (a + bt c+ dt) e *() -- () a (:) - (-) A d - c

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Q: Find and classify the critical point of the linear system. dx/dt = -3x-y-19 dy/dt = 13x+y+69

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Q: 1 Expand f(z) : in the domain %3D (z-6) (z-9) 6 < [z] < 9.

A: Laurent series exaption in annulus

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Q: Let x and y be the real numbers and P(x,y) denotes = 1. Find the truth values of: 1. VVy P(x, y) 2.…

A: Given, x,y are real numbers P(x,y) denotes xy=1 To find: Truth values of - 1) ∀x∀y Px,y2)∀x∃y…

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Q: udn + a ntuldr=o

A: We shall answer first question only as you have asked unrelated three different question. For others…