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Q: a) Show that F is conservative while G is not. b) Evaluate GdR, where C3 is defined by R(t) = tî +…
A: This is a problem of vector calculus.
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Q: (c) Prove that a metric space is connected iff it contains exactly two sets that are both open and…
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Q: (d) A commutative ring R is a prime ideal of itself. (e) If p and q are primes, then there is a…
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A: From the option one is function of t, infact it is clear from the parametric as a function of t
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Q: 11. Suppose that a firm that uses 2 inputs has the production function f(x1, x₂) = = 12xx and faces…
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Q: F. Change the Cartesian integral to polar coordinate dy dx 171-77 حول من كان إلى يولير ار -1 0
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Q: Example 8.28. Apply Simpson's rule to evaluate the integral 2.6 4.4 dxdy I = left xy
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Q: 2. Evaluate the double integral: Lo Sch sin (2³) VVT (Hint: Change the order of integration to dy…
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Q: 5. Calculate the L and U matrix and proof that PA=LU. 10 -7 0 A = -3 26 5 -15
A: Firstly I find lower triangular matrix LL and an upper triangular matrix UU And the show that PA=…
Q: 257. Show that the line passing through points P(3, 1, 0) and Q(1, 4, -3) is perpendicular to the…
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Q: 2. (a) Find the unique polynomial of degree 2 or less such that f(0) = 1, f(1) = 3, f(3) = 55 using…
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Q: iready Classes O Zooniverse Algebra Calculator... ssade Zachary - GU5L5 Exploration le Edit View…
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Q: 258. Are the lines of equations and x = −2+2t, y=-6, z = 2 + 6t x= -1 +t, y = 1+t, z=t, t€ R,…
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Q: What is the basis and dimension of M3(R)?
A: Basis: For a vector space V, the set of linearly independent vectors that generate the whole vector…
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Q: Q3:what is the difference between the finite element and finite volume method
A: We have to write the difference between finite element method and finite volume method.
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A: Given that,Λ=1, 2, 3, ... Λλ=x|x=2λm where m∈set of integers from -λ to +λThe generalized union and…
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Q: Q1: (A) Write True (T) in front of the true statement and false (F) in front the false statement: 1.…
A: This question is from ring theory of abstract algebra.
Q: Match the formula of the exponential function to its graph. Graphs of Exponential Functions 5+ 4 3…
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Q: 2.2 The value of xe*dx by using the two-point Gauss quadrature is most nearly 0.2 (A) 11.672 (B…
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Q: Problem 4. (. Let C be the curve given by parametric equations x(t) = t², y(t) = 2t, z(t) = lnt, t€…
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Q: 2) Give the equation of the following graph (0.25, 0) (2,4.16)
A: Clearly this is logarithmic curve We have given two points in this curve (x1,y1) = (2, 4.16)…
Q: ANSWER THE FF. IF THEY ARE ALWAYS TRUE, SOMETIMES TRUE OR NEVER TRUE 1. All open sets are bounded.…
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Q: Suppose Cn is a segn of real numbers such that lim 1c₂1h exists and is non-zero. If the ROC h-00 of…
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Q: Q2: (A) Choose the correct answer for each of the following: 1. The cancellation law holds in a. any…
A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…
Q: ●¹) Statistical Inferences:Question 2 Which distribution shown here has the SMALLEST standard…
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Q: Recall from Student Exercise 1.4.8 that cos 8 ² ( ²53 ) = 1/²/ ( √ √² + √²) (√₂ 70 Written…
A: It is required to prove the given equation by mathematical induction.
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Q: Question THIAL ADJ (a) Find the infimum and supremum of the set S = - {2-(-D²":1€N} (b) Prove or…
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Q: -B-Let f:( M, (2),+)-(M₂(2), +..) be a function define by such that g[]=[ g( . € M₂(2). Is f is…
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Q: 28-3 s+s-2 3. 2¹ F(s) for F (s) = -
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Q: π 1 1+ sin²x 0 dx
A: The given problem is to evaluate the given definite integral of the function 1/(1+sin2(x)) over the…
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Q: Which among the following diagrams correspond to the metric below on the real plane R^2?…
A: We can solve this using given information
Q: n Σ tan(kx) tan ((K+1)x) K=A
A: Given, ∑k=1ntan(kx)tan(k+1)x
Q: Let F(x, y, z) = (xz — eª, 2xy + sin y, −yz + tan¯¹ z). Let S be the surface defined by R(u, v) =…
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Q: 2. (a) Find the unique polynomial of degree 2 or less such that f(0) = 1, f(1) =3, f(3) = 55 using…
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Q: 1. [ Identify the surfaces of the following equations by converting them into equations in the…
A: The relation between the Cartesian coordinate and spherical co-ordinate…
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