Double Dominating Set. The DOUBLE DOMINATING SET Problem is: Given a graph G = (V, E), and a number k, is there a set of vertices U, U| < k such that the shortest path from any vertex v E V to some vertex u E U has length < 2. Show that the DOUBLE DOMINATING SET problem is NP-Complete.

Q: Evaluate the following indefinite integral. Use C for any constant of integration. 9 dx x/x + 1

A: Use the substitution √(x+1)=t, you will get your solution.

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A: Given:      y = ex     0 ≤ x ≤ 11/2

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A: We will first differentiate the given series that is equal to S(x). Then will take common 2 and canc...

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Q: Evaluate the following indefinite integral. Use C for any constant of integration. 56 dx x2 – 49

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Q: Jse l'Hospital's rule to find the limit. HINT [See Example 4. x + 1 lim x+0 e*

A: limx→∞x+1ex = ∞+1e∞                    = ∞∞                    = indetrminant form Apply l'hospital ...

Q: 9. 10. 10+ 12-10

A: Topic:- function   

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A: Suppose that x, y=a, b is a critical point of fx, y,and Dx, y=∂2f∂ x2∂2f∂ y2-∂2f∂ x∂ y2. Then, If Da...

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A: ∫w*5w25w2+1*ln(5w2+1)dwSubstitute u=ln(5w2+1)→dudw=2ln(5)w*5w25w2+1→dw=5w2+12ln(5)*5w2*wdu=12ln(5)∫1...

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A: Topic  -  integration Ans   1.496 

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A: Given problem:-

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Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact ...

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Q: Evaluate: ∫[(sin 3θ)^8][(cos 3θ)^6]dθ. From θ = 0 to θ = π/6 a. 2π/99 b. 2/99 c. π/99 d. 1/99

A: Evaluate: ∫[(sin 3θ)^8][(cos 3θ)^6]dθ. From θ = 0 to θ = π/6 a. 2π/99 b. 2/99 c. π/99 d. 1/99

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A: To solve the triangle. 

Q: (8) Find all k so that aek= dx converges. In this case, find the value.

A: Given problem:-

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A: The objective is to evaluate the integral.

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A: Topic  - differentiation by parts 

Q: 5. Find T, N, and xfor the plane curve r(t) = (t2, sin t –t cost,cost +t sin t); t > 0.

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Q: Determine (without solving the problem) an interval in which the solution of the given initial value...

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Q: Find the function r that satisfies the given condition; r' (t) = i+ te-tj-4k;r(0) = i+ t2+1 - 3k

A: Given problem:-

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A: To find out the partial fraction decomposition of the function given.

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A: I am attaching image so that you understand each and every step.

Q: 5. =2 sec(2x Amplitude: f(x) Period: Vertical Shift: Horizontal Shift Start: End: Increments: +++ ++

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Q: The integral of the given function | cos(9x) cos(5x)dx is equal .. 14 sin 4x + 4 sin 14x А. · + C 12...

A: This question can be solved by applying the formula of 2.cosA.cosB

Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact ...

A: Gven that∫0189dx1+x2tan-1xSolution:∫0189dx1+x2tan-1xlet, tan-1x=t11+x2dx=dtx=0,t=0x=1,t=π4substituti...

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Q: f(x) = 2+ 3x² – 8x3 -

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Q: Steps are being attached to a deck, as shown in the figure to the right. The bottom of the steps sho...

A: Topic   -  trigonometry 

Q: Consider the function f(x) = – 4(x – 3)2/3. For this function there are two important open intervals...

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Q: (6x+y^2)dx+y(2x-3y)dy=0 solve using exact equations (diff eq)

A: I am attaching image so that you understand each and every step.

Q: 3. Find the first derivative of y = (x² – 4x + 1)5. %3D

A: Topic :- derivatives  Note:- as per our guideline if more than one question uploaded than only first...

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A: x + y+ z =3 z = 3 - x - y   The base of the tetrahedron (X-Y plane)is bounded by, x=3y, x + y = 3, x...

Q: A large tank filled with 500 gallons of pure water. Brine containing 2 pounds of salt per gallon i...

A: Let A(t) is pounds of salt in the tank at time t.We know that dAdt=Rin-Rout

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Q: Determine whether the series converges; if so, find its sum. Otherwise type N in the blank. 00 1 L K...

A: The given series is sum of 1/[k(k+2)] ,k=1 to infinity.

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A: This question can be solved by using the concept of existence of limit at a given point.

Q: Please solve 1,3,7 by using partial fraction example on the picture

A: As per our guideline if multiple questions are posted we are supposed to answer only the first one. ...

Q: Find derivative of the following functions 1. y= sin^-1 2x^2 2. y= tan^-1 2x^2/5

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