Graphs b. K1 K2 K3 Hamilton circuit for K: Hamilton circuit for K2: Hamilton circuit for K3: ..

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A: We will condition that distance os speed can not be negative practically to find domain and range /…

Q: a. Sketch or draw the graph of the plane b. Find out the general equation of the plane

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Q: he surface al derivative

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Q: Example: Evaluate J = S, e-**dx by using trapezoidal rule, n=10.

A: Given Integral is J=∫01ex2dx

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Q: Find the solution. y'- ty = ty" A y - (1-e') ® y - (1-a') © y - (1-")

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Q: Find the solution. dy 2y +-=x?y?sinx dx y = x?(sinx - c) A 1 B y x(sinx +c) y = x²(cosx+c) D y =…

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Q: Find the solution. (D2 - 20 - 3ly = 0; when x = 0, y = 0, y'= 4

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Q: Describe the type of intersection that exists, then, determine the intersection.

A: First find row reduced eclone form then calculate intersection.

Q: 3. Find an estimate of all the roots of the equation 3+3 5x² using fixed point iteration.

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Q: a written below, establish the Popularity Index for the following items that have been sold in a…

A: Introduction: Division is one in all the four elementary mathematical operations, beside addition,…

Q: Find the solution. Zy dx = (-1dx - dy) A (x-1)x = (y+1Xc - 2x - In|y-1|) B (x-1)y = (x+1Xc +x -…

A: Given: 2y dx=x2-1dx-dy

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Q: Find the solution. (D³ +7D2 + 19D + 13)y =0; when x =0, y=0. y' =2, y"=-12 A y = e-2'sin3x B y =…

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Q: (2) Let m(E) 1}) = 0. (ii) Show that lim, S f" = m({x € E : f(x) = 1}). E

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Q: Solve the following differential equations by linear method. dy + 2.xy = 0 dx 6.26. у - 3xу %3D0…

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Q: Given the following vectors, let W Span{v, v2, vs}. v3 (a) ( . Is z in W? Why or why not? (b) ( Find…

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Q: Find the solution of the D.E. below: 2(2x + y?)dx - xydy = 0 A x4 = 4c (x2+y?) B x4 = c (4x2– y?) x4…

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Q: The initial heat distribution over a steel plate is given by the function: u(x, y) = 80y²e-0.3y Plot…

A: The graph a three dimensional surface is represented by the equation, z=f(x,y). If the graph of…

Q: 4. Consider the following boundary value problem for y(x) on [-2, 2]: (*) y" + 6y + dy = 0, y(-2) =…

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Q: QUESTION 4 Determine the area of the rectangle below. 15 m 25 m 80 m2 O 40 m O 375 m2 O 375 m 40 m2…

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Q: . Write the equation of the line that represents the linear appro

A: Given,        f(x)=(64+x)-13; a=0; f(-0.1)

Q: and ug at the points Pi, P2, P3, and Pa respectively, given uz + us + 100+ 100 4 200 + uz + uz + 100…

A: From the given statements, we have to solve the system by finding the coefficient matrix.

Q: Determine whether the following series converge or diverge by using any appropriate test: 1+ k4/3 a)…

A: Given the following series (a) ∑k=1∞1+k431+k53 is an infinite geometric series,  then By the limit…

Q: The height of a mountain above sea level at point (x, y) is given by f(x, y). A mountain climber…

A: Given height of a mountain above sea level at point P(x,y) is f(x,y). At point P, if we go towards…

Q: Exercise 2: Solve the following heat equation (u(x, t) = u,,(x,t) + x sin(t), %3D u(0, t) = t, |…

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Q: Find an Euler circuit for each graph below. Graphs K2 K1 K3 Euler circuit for K: Euler circuit for…

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Q: 2k)! 6* (3k)!

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Q: Prove that the group G = [a, b

A: Given, the group G=a, b with the defining set of relations…

Q: Find a particular solution to y" + 8y' + 16y : -7.5e 4t t² +1 Yp =

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Q: 6 ý x In x=y 2/y-1 (も 2y=y cotx

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Q: Suppose A is 17x17 matrix with A^29=0 Then A^17=0.

A: Here given that A is 17×17 matrix and A29=0.

Q: Find the solution. (D³ +7D? + 19D + 13)y =0; when x =0, y=0, y' =2, y"=-12

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Q: cosz 3 3 Let f(z) and C is |z| = positively directed and C is ]z| = positively %3D %3D (z²–1)2 2' 2'…

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Q: 8. Define the recursive function F:Z* → Z by this formula: [n-10, if n>100 F(n) = F(F(n+11)), if 0…

A: Find the value of the recursive function

Q: suppose that S = [a, b] x {0} is a closed line segment %3D in R?. Show that H' (S) = b a.

A: Here given as S=a, b×0 is a closed line segment in ℝ2. We have to prove that H1S=b-a

Q: In the figure below, AB is a diameter of circle P. What is the arc measure of minor arc AC in…

A: Given AB¯ is the diameter of circle P

Q: Consider this dilation. Hint: Remember what we’ve discussed about the notation for the original…

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Q: Write the equation in spherical coordinates. (a) 5z2 = 8x2 + 8y2 (b) x2 + 3z2 = 7

A: Any point in the rectangular coordinate system is represented as x, y, z. Any point in the spherical…

Q: prove that IIaind = nd(n)/2.

A: Analytic number theory

Q: For the vector field F(x,y) =(2xy²+2y)-i+(2x²y+2x)•j a) show that_F_is conservative vector field; b)…

A: Vector field and integration

Q: the function f (x, y) = xy2 +1/6 x3 − x + 1 is given. a) find and classify all critical points of…

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Q: Relate the concept of Laplace Transform to solve the following problems. A. Compute the Laplace…

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Q: Determine whether the following series converge or diverge by using any appropriate test: 1+k4/3…

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Q: Solve the following system of inequalities -x+y-3>0) x+2y-10>0

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Q: (4 1 4 1 4 1 4 4 A 4 -1 1 -1 1 -1 -1 1 (a) Find the characteristic polynomial of A. (b) Find the…

A: Given the matrix as…

Q: (iv) If Z{y«} = Y (z), yo = 0 and y, = 1, then Z{y«+2} = z²Y – z. %3D (v) Z-1{ = 2* , k = 1,2,3, .

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Q: Find the solution. y' = 5y + e2x y2, y(0) = 2 -2x \1/3 39e 5x A y-3 25 139e 15 - 3e -2 )1/3 17…

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Q: Find the solution. (y - cos"x)dx - cos x dy -0 A y (sin x +cos x) = c + x - tan x B) x (sec y + tan…

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Q: z = (1+j)'4 (1+j)/4

A: