Give the dual of the phrase "three collinear points and a fourth point not on the line of the other three" and sketch both the given and its dual.

Q: Exercises Solution of Equations having Constant Right Member Solve the following equations 5. (D2 –…

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Q: Hiws slove du 4 dt %3D dx2 u(6,t) = L (8,t)=0 U(x, a) =0 : =4X-()x²

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Q: (2) Express the vector ū = < 3, 2 ,7) as a sum of a vector parallel to DC ond a vector perpendicular…

A: Consider the points A-2, 3, 1 , B0, 0, 2and C-1, 5, -2. We have to solve the following :…

Q: Me. kim hasted a pally pt * chilfen drinks Macinda, Caca Ċla and Sprite. A cepart givenby the birth…

A: Theory : sets union and intersection formulas; nA∪B∪C=nA+nB+n(C)-n(A∩B)-nA∩C-nB∩C+n(A∩B∩C)n(A not B)…

Q: 1. Determine the eigenvalues and the eigenvectors of the matrices -1 -1 1) с. -4 2 4 -1 1 5 2 2 -2 1…

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Q: 3. Find the Fourier Transform of f(t) = 0, - osts0 le-at, osts ∞ a is positive constant

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Q: Show that the function f defined by 1, (x, y) = (1, –1) f(x, y) = { x2 + y (x, y) # (1, –1) x + y is…

A: Given function is fx,y=1,           x,y=1,−1x2+yx+y  ,x,y≠1,−1 . We have to show that the given…

Q: Find the first partial derivatives for z = xy In (xy)

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Q: Question 3.1. Let's think of the set of n-by-n matrices as R by using the matrix entries as…

A: Given: A set of n by n matrix in Rn2 D⊂Rn2 be the subset whose matrices have zero determinants.…

Q: (P → (Q → R)) ↔ ((P → Q) → R)

A: Given expression is (P → (Q → R)) ↔ ((P → Q) → R) We know that, a sentence is said to be a tautology…

Q: Evaluate the integral х3 — 2x? - 4 dx x³ – 2x? '– 2x2

A: The given integral is ∫x3-2x2-4x3-2x2dx Now     x3-2x2-4x3-2x2=x3-2x2x3-2x2-4x3-2x2…

Q: Does x2 +3x+7=0 mod 31 have solutions? IF

A: This follows in the same way as we study quadratic equations. Here we use facts about quadratic…

Q: Let X = {x E Z+ | 15 < 4x < 22} and Y = {y is even | 0 < 2y +1 < 15}. Define a relation R from X to…

A: We have to find the elements of X and we have to define a relation R from X to Y.

Q: 5. Interval 0 <x<n, function, f(x) = cos x.

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Q: 1. A bike has wheels with radius 1.5 feet and a front sprocket with 36 teeth. a) If the rear…

A: We need to use sprocket ratio to find speed of bike  Note : according to guidelines maximum 1…

Q: V2 V, V5 V7 6.

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Q: Show that the function f defined by 1, f(r, y) = { r2 + y (x, y) = (1, –1) (x, y) # (1, –1) is not…

A: We have to show that  f(x, y)  is not continuous at  (1, -1)

Q: 12: Define the concept of field. Is Z a field?

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Q: What is the domain of the function g(x)= logg (6-2x)? A {x\x€R, x> - 3} B {x\x€R, x3} D

A: The solution is given as

Q: If X is a finite dimension that an inner product o Yjk = (e, ex). Can we cho fashion? %3D

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Q: Find the volume of the solid generated by revolving about the y- axis the region bounded by the…

A: We will find region bounded and then rotate it about y axis to create solid of revolution , To find…

Q: (a)Use the shooting method to solve: d'y dy = e*; y(0) =1; y(1) =-1. dx dx? Use h=0.1

A: Given, d2ydx2-ydydx=ex; y(0)=1, y(1)=-1h=0.1 Now writing,…

Q: Let a, ßeR ,such that 2(a -1)+ 3(a – 1)+ 6a=0 and 2(1-B)+ 3(1-B)-6B + 12=0 and a + B, also graph of…

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Q: A right circular cone has a base radius of 6 feet and slant height of 10 feet. If the approximate…

A: Solution :-

Q: Use the Laplace transform to find x(t) and y(t)

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Q: is there a trail that is not a walk?

A: Every trail is a walk but every walk is not a trail as in a walk edges may repeated but in a trail…

Q: Use the tabular method to evaluate the integral |(* + 2x – 1) cos(4x)dx

A: Given:∫(x3+2x-1)cos(4x)dx

Q: Guten the olrne Puith equrtim ge ry-g = 3. and line Lusithugmmetre equrtim e = 1 - y = g. determine…

A: If the plane and the line intersects, then we need to determine the intersection point, otherwise,…

Q: A point y in space either belongs to a given closed c ough y so that whole of the x lies in one open…

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Q: Q16: What's mean by a nilpotent element of a ring R? Find all nilpotent elements of Zg.

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Q: 6. Evaluate * y" + 9y = 0; y(0) = 2 , y'(0) = 9 2cos3t + 3sin3t 2cos3t + 9sin3t C. A. 3(cos3t +…

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Q: لتكالتحلم ملبهلعللمو) محلمولوفحلكرللت )هلهد x^ )5-x = )ه ,4 %3D

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Q: 13. Ax co has risky assets which can generate either 100m or 16m both same probability. Ax co has a…

A: Expected Value = (probability of event) * (the        event)  Calculating the expected value without…

Q: A subspace of a completely regular space is completely regular.

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Q: Solve the following initial-value problem: x e* dx+ (ys- 1)dy 0; y(0) = 0

A: Solution

Q: Apply the rank one correction algorithm to minimize the function f(X) = 15x + 2x - 2x1x2 -x1 - 5x2 -…

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Q: Q6: Define the Boolean ring. Is (Z,+,.) Boolean?

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Q: Find the solution of the follo wing Diffevential Equations 22) uý - 45+37y=0 y(0)=3

A: To find the solution of a given differential equation first we will find its auxiliary equation…

Q: Cornsideing the Laurent series foro S(x) = Which Sin c serterd is aut cand converges what is which…

A: Solution: Since sin(z) has a simple zero at π, the function sinz(z−π)  extends to be analytic and…

Q: 4. A car costs Php 800,000. Find its value after 4 years if it depreciates 20% of its cost per year.

A: Solution(4)   According to the given information the present value of the car is P800,000. Now the…

Q: 3.* 6 y = (s – 2)4

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Q: Given the following parametric equation of a torus if we have 0<g<x and 0<f<2x The cross-section of…

A: Option a

Q: d'x dt? de - 4x =0 ,x(0) = 1,(0) = 2 di dt

A: Follow the steps.

Q: Q4) Solve the boundary value problem y 3y' + 2y 0 with y'(1) = 1, y(3) = 2e* – e² h = 0.5

A: We have to solve the boundary-value problem  y''-3y'+2y=0 with y'(1)=1, y(3)=2e4 - e2

Q: Example S = {q1 = 2 + x + 4x², q2 = 1 - x + 3x², q3 = 3 + 2x + 5x²} a. Show that S is the basis for…

A: The given question is related with linear algebra. Given that,               S = q1 = 2 + x + 4x2 ,…

Q: Integrate f(x,y, z) = 2x – 3y² – 2z+3 over the line segment from the origin to (1, 1, 1) and over…

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Q: Find the centroid of the solid generated by revolving about the indicated axis the area bounded by…

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Q: 2 0 Q4)(a) Find the maximum eigen value for the system 4 = with initial vector x' (0) = (0.0299 1

A: We have to find the maximum eigenvalue for the system A=20111 with the initial vector xT0=0.0299  1T

Q: An example of cissoid of Diocles is r = sin 0 tan 0 whose graph is below. Show this curve has the…

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Q: then L[r"S(); p]= (-1)" 5(P) d" dp"

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