Q.2 Given the current state and goalstate below for the 8-Puzzle Problem. Find the sum of distance out of the place ? 8 6 12 3 5 4 7 4 5 6 23 1 7 8 Current state Goal state

Q: 3. For her birthday, Karla received a new wardrobe consisting of 5 shirts, 3 pairs of pants, 2…

A:

Q: Solve the following determinants:- 1 2 3 4 0 1 2 3 0 0 2 1

A:

Q: (b) Show that the line joining points A(xA, YA) and B(xB,YB) can be represented by the parametric…

A:

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…

Q: Find the Solution (1+r2) ds + 2t[st²- 3(1+12) 2jdt = 0; when t = 0, s = 2. %3D

A: The differential equation of the form, dydx+py=Q is named as linear differential equation. The…

Q: What is the z transform of h(n) h(n) = (1/2)", 0<n<3 Lo, 0, elsewhere 1+ (1/4)z2 + (1/8)z³ 1 +…

A: We have to apply the z transform properties.

Q: The base of S is a circular disk with radius 4r. Parallel cross-sections perpendicular to the base…

A:

Q: 4. Show that the edge set of every regular bipartite graph is a union of edge-disjoint perfect…

A:

Q: 4.43. xe" dx + (y-1)dy 0; y(0)=0

A: As per our company guidelines we are supposed to answer only the first question. Kindly re post the…

Q: Use spherical coordinates to calculate the triple integral of S(x, y, z) = Vx? + y + z? over the…

A:

Q: Find the general solution of each differential equation, and when initial conditions are given, the…

A: Solve the first order differential equation, by using Separation of variables method

Q: Q4. Without solving (proper computation), show that determinant of the following matrix is zero. -1…

A: The Given matrix is 1-13-8-522-26To show the determinant of above matrix is zero without…

Q: . Let E be a measurable set with m(F np with ISp <∞. Further if Lim (E) then lI f llo = %3D

A:

Q: For a, b, c, d e R, show the following. (a) If a >b and c> d, then a +c>b+d.

A:

Q: Prove that eª (x – 1) = + +c is a solution to xy dx + (y+ 1)e¯ªdy = 0. 2y?

A:

Q: 7. Draw a line through the point such that the value of the y-intercept is the same as the value of…

A: please post the multiple question separately.Here I answered 1st question as per out policy

Q: Suppose A, B, and C are sets. Prove that (AU B) – C C AU (B – C). - -

A:

Q: rection field for the differential equation y - 4x sin(y) is shown. -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5…

A:

Q: L{sin? 5t} O 25 /(s^3+ 100s) O 50 /(s^3+ 100s) O 25s /(s^3 + 100s) O 50s/(s^3+ 100s)

A:

Q: A. Find the coefficients of the following derivative f" = G-1fi-1+ Cfi+ C+f1 %3D

A: Here we use finite difference method to find this.

Q: Evaluate the ff. Given: А b 1 -1 1 1 2 y 1 -2 4 3 4 1 1 1 1-1 W | Find: a. Adjoint of A b. Inverse…

A:

Q: Use the following matrices for the next 3 questions 1 2 0| B= 3 4 5 0 0 6 1 5 1 4 -1 2 1 1 1 C= 1 1…

A:

Q: 2. A clothing store wants to stock sweatshirts that come in four sizes (small, medium, large,…

A: according to question, a store wants to have four different sizes small -Smedium - Mlarge - Lx-large…

Q: Q.5 Show that both of the functions f(x)=(x-1)" and g(x)=x' – 3x +3x-2 have stationary points at x =…

A:

Q: Use the following matrices for the next 3 questions |2 -3 4 A= 3 1 -2 det (A · A")

A:

Q: A boiling (100 °C) solution is set on a table where room temperature is assumed to be constant at 20…

A:

Q: To prepare astronauts for the experience of zero gravity (technically, microgravity) in space, NASA…

A:

Q: Let S be the solid obtained by rotating the region shown in the figure about the y-axis. a = 9 b = 1…

A:

Q: Can someone help me to approximate this double summation into an expression that contains a and b?…

A: The value of ab=0.625

Q: 10. Let ø: Q(V2) → Q(/2) be the map given by ø(a+bv2) = a-bv/2. Show that is a Q-linear field…

A: Given :  ϕ : ℚ(2)→ ℚ(2)  be a map defined by ;  ϕ(a+b2) = a-b2. To prove :  ϕ is a ℚ-linear field…

Q: Let f(x) = 2x³ – 0.0064x² – 1.5x + 1 i. Indicate that f(x) = 0 has a root in the interval [-3, 0]…

A: The complete solutions are given below

Q: Verify that lxl:|Ž Ž1% P) is normed spase: and show that nokmed Spase Spase:

A:

Q: The illumination of an object by a light source is directly proportional to the strength of the…

A: Given that, the light source is directly proportional to the strength of the source and inversely…

Q: Find the Fourier series of, - 2 < x< -1 f(x) = }-2 -1< x<1 1< x< 2

A: We have to find the Fourier transform of the given function.

Q: Let n 2 2. Assume that Fn is prime. show that -1.

A:

Q: бу" - 7у - 5у %3D2x3 + е-* - 5

A:

Q: How many different orders are possible in Z*92639 (Hint: 91639 is a prime; 91638=2 . 27 . 1697).…

A: as 92639 is a prime number so Z*92639 is cyclic group of order 92638.

Q: f. Set up (but do not evaluate) an integral with respect to x to represent the volume of the solid…

A: To setup an integral which represents the volume of revolution.

Q: Q. 9(a) kind Solve the volterra integral equation of first -t)g(t)dt = x 0.

A:

Q: 2. (s² +5

A: The given function is -tcos5t To find the Laplace transform of the given function proceed as follows…

Q: Find two linearly independent solutions of y" + 3ry = 0 of the form Y1 = 1+ a3x³ + a6x® + · .. Y2 =…

A: We find two linearly independent solutions of the given differential equation  y"+3xy=0.......(1)

Q: Use n = 2 to approximate .Determine the error of estimate %3D

A: To approximate ∫01x3dx with sub intervals n=2

Q: Solve for x, y and z using the Elimination Algorithm. And conclude appropriately what kind of…

A: Solution

Q: Find the area of the shaded region. r = 3+2 cos 0 r = sin 20

A: We have to find the area between Polar curve.

Q: 4. Use the comparison test to determine whether the following series converge or diverge. (a) k k=10…

A:

Q: Explain how to determine whether a function T : V → W is a linear transformation. Secondly give some…

A: We have to explain how to determine whether a function T:V→W is a linear transformation then…

Q: Using secant method, detemine a root of sin x – x with initial guesses x, = 0.5 and x, = 1…

A:

Q: Solve for x, y and z using the Elimination Algorithm. And conclude appropriately what kind of…

A: We have to Solve the following system for x, y and z using the Elimination algorithm.x − 3y + z =…

Q: | Find the rate of change m for -3x + 4y = 14 %3D Find the rate of change for (8,6) and |(10, -2) in…

A:

Q: Consider the solid torus (the donut-shaped solid shown in the figure) with radii 7r and 2R. a = 2 b…

A: