If w is a vector such that w+(ŵ×ü) = v,then prove that only if u is perpendicular to v.

Q: 5.1.12. (-) Prove or disprove: Every k-chromatic graph G has a proper k-coloring in which some color…

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Q: Using the Bisection Method, False Position Method, and Secant Method, what is the root? Use error =…

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Q: Question 3.1. Let's think of the set of n-by-n matrices as R² by using the matrix entries as…

A: Please see the attachment

Q: ketch the surface

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Q: Suppose the slope of the tangent line at any point on a curve is curve passes thru (1,3),…

A: We will find approximate value of y at required point  and then find  slope of tangent line . Using…

Q: unit vectors inclined to each P = a cost cos 2t+b sint cos 2t + c sin two non-collinear dicular to…

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Q: Assume that the nth term in the sequence of partial sums for the series no an is given below.…

A: Sequence of partial sum for the series         ∑n=∞an  is   Sn=5+8n22-7n2 (.)   Behaviour of a…

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Q: 13. Let F be a field, R a nonzero ring, f: F →→R a surjective homomorphism and prove that f is an…

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Q: 15. Let R be a ring, I, J be ideals of R and f: RR/I x R/J be the function defined by f(a) = (a +…

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Q: Evaluate the following integrals: Find the area (set-up the definite integral only) of the given…

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Q: 1) Solve b finite diffrence method ayu 4=xgo4349caethyc1حلول

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Q: Find f(5) using backward difference method of the function f(x) = 7x³-5x + 1 2x¹ + x² +1 with a…

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Q: Test the convergence of the following: n 3n+1 1- an 3n-1 2 (n(~²+1))" n=1 2- =

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Q: Find the Laplace transform of f(t) = t²e7t

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Q: Let G be the region bounded by the curve x³ + y³ = 5xy in the first quadrant. Find the area of G (by…

A: To Find: Area of the region bounded by the curve x3+y3=5xy  in the first quadrant.

Q: etermine the values of a for which the following system of linear equations has no solutions, a…

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Q: Let B = Qn (0, 1) be a subset of R. Consider a function f: N→ B defined by 1-n f(n) = ans where an=…

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Q: 3. Determine the Fourier integral representation of the given function: f(t): { 0 < t <3 otherwise =

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Q: Q.5. D.] find the Cartesian equation of the plane r(u, v) (u,v + 2,3u-2v), -1≤u≤2 and -2≤0≤3

A: To find the cartesian equation of the plane from a given parametric equation, we need to eliminate…

Q: Determine the Fourier series representation of the given periodic function: st - 1, f(t) = -π<t<0 0…

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Q: C, D are coplanar points. A', B', C', D' are their projections respectively on the y-

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Q: Solve the integro-differential equation

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Q: . Find the Inverse of the following using GAUSS-JORDAN METHOD. 1 -1 0 0 -1 2 -1 0 0 -1 2 -1 0 0 -1 2

A: Here the given matrix is                                         1-1   0   0-1   2-1   0    0-1…

Q: If the volume of the region bounded above by z = a²-x² - y2, below by the xy-plane, and lying…

A: Please see the attachment

Q: This question is about the function f(0) = (0 - 3) cos(0). (a) Explain why the graph of f lies on or…

A: Solution. :-

Q: 11 In this question, take the number n of stages of a binomial variable X~ B(n, p) to be fixed, and…

A: Solution : For solution of d, e we take  direct results of binomial distribution. for…

Q: Solve graphically the given linear programming problem (minimization problem) Minimize Z = 3a + 5b…

A: Solution: Given the Minimization L.P problem Minimize, z = 3a +5b S.T.C,…

Q: Given (1 + 3x sin y) dx - x² cos y dy=0 with y(1) = 0. Using Euler method with h=0.1, compute y'…

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Q: ANSWER IN A CLEAN SHEET OF BOND PAPER (HANDWRITTEN). SHOW COMPLETE AND CORRECT SOLUTIONS IN…

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Q: Suppose that the function f is continuous everywhere. Suppose that F is any antiderivative of f, and…

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Q: Determine the Fourier series representation of the given periodic function: ft - 1, f(t) = lt + 1,…

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Q: 3- 4- 2X 2X e dy dy + 2 (y e-x) dx === Sinx dy + + cosxy = tan x dx

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Q: Determine the value/s of D if the graph of the equation x² + 4y² + Dx - 4y + 2 = 0 a. is an ellipse;…

A: If we compare given equation with general equation of conic section, that is ax2+ by2+ 2hxy+ 2gx+…

Q: Find the Inverse Laplace Transform of 1 s²-8s+25

A: The given function is 1s2-8s+25 completing squares 1s2-8s+25=1s2-8s+16+9=1s2-24s+42+9=1s-42+9

Q: Find a Taylor series for the function f(x) = ln(x) about x = 0.

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Q: A 60° 30° Name! Section: 30 m ACTIVITY (SPECIAL RIGHT TRIANGLES) Identification: Answer the…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: 1/q + 1/r + 1/p =1/m p, q, r are pr

A: Given: An expression 1q+1r+1p=1m, where p, q, r be the primes and m be the natural numbers. To find:…

Q: Given (1 + 3x sin y) dx - x² cos y dy=0 with y(1) = 0. Using Euler method with h=0.1, compute y'…

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Q: Find H(s) = 19 s+2 1 3S-5 + 7 s5

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Q: Particular solution of y" - 5y' = x-2, when x = 0, y = 0, y = 2

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Q: 4 2X 2X dy + 2 (Ye - x) dx = o (y dy + + Cosxy e Sinx du tanx

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Q: Find the Fourier Transform of Seizt -1<t<1 f(t) = = 0 elsewhere

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Q: 31-40. Suppose that a day's production of 850 manufactured parts contains 50 parts that do not…

A: Solution:- 1)probability that first part is conforming =800/850 ( as there are 800 conforming part…

Q: Find the area of the triangle formed by the lines repr

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Q: Consider the following lines. r(t) = (3t+3,5t +4, 5t+5), for -∞0<t<∞0 R(s) = (s+2, 2s+2, -5s + 10),…

A: Introduction: Like two dimensional geometry, a line can also be represented in three dimensional…

Q: Let Q = R\Q be the set of irrational numbers in R. Consider A = Qºn (√2, √3) as a subset of R,…

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Q: 구 cos²x' dy cos²y 쁩 2 3 CosX dx (3X+2)

A: 7. The given O.D.E is   cos2xydy=dxy-3cos2x3x+2dx To find: the solution of given O.D.E. Please post…

Q: By using Laplace transform to solve y" + y = e with y (0) y (0) = y" (0) = 0, what would be Laplace…

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