Convert to integral form. Use either Gauss or Stokes theorem V × F = î
Q: (а) п! —D О(п") (b) n" + 0(n") (c) log2(n!) = 2(n log2 n)
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Q: Solve, using the method of variation of parameters: y" + y = sec 0 tan 0
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Q: 12. Given the sct of vectors S = {(6,2,1), (4,-3, 1), (5, 8, 2)} of R, is this set linearly independ...
A: Given: S=6, 2, 1, 4, -3, 1, 5, 8, 2 To check: Whether the set S is linearly independent and the vect...
Q: Define the binary operation in the set of rational numbers as: a*b = ab+a-b Which of the following ...
A: Given, a*b=ab+a-b
Q: Let f(x) = 4 – x² . Find each of the following: f(8) – f(4) - 8 – 4 f(4 + h) – f(4) 3) II
A: (A) Given f(x) = 4-x2 we have to find f(8)-f(4)8-4 Now f(x) = 4-x2 ⇒f(8) = 4-82 =4-64 = -60& f(...
Q: Find the producer's surplus for the following supply function at the given point. 5) S(x) = x +3; x ...
A: Introduction: The formula for the producer surplus is given by, PS=XEPE-∫0ES(x)dx Where XE and PE is...
Q: (6) Define T1,T2,T3 : R³ → R³ by T1 T3( y ) Y y – z (a) Find TT2( y). (b) Suppose that T1,T2, T|T2 a...
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Q: Use e power series to show that
A: We will show that ddxex=ex using power series.
Q: Question 3. Let {G 1 а 0 1 c: a,b, c e Q 0 0 1 H = %3D under matrix multiplication. Notice that H is...
A: We will use the basic knowledge of group theory to answer both parts of this question.
Q: Is this function harmonic? .3 3x2, O a. Yes O b. No O c.Not at all O d. all of the above
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Q: 1 Given the following vectors: Is the set (v,, V2]linearly independent or dependent? Justify your an...
A: we are given two vectors v1=120,v2=021 a)to check if the set {v1,v2} is linearly independent? b) to ...
Q: 7n + 129 = 45 7n + 45 = 129 %3D 7n 129 = 45 O 7n 7n - 45 129
A: # we are entitled to solve one question at a time , please resubmit the other question if you wish t...
Q: Question 2. Suppose that G is a group that has exactly one non-trivial proper subgroup. Prove that G...
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Q: 4. How many subsets are there of {1, 2, 3, 4, 5}? How many contain at least three elements? How many...
A: Given set is S=1,2,3,4,5 Since we know that, if a set contains n elements, then total number of subs...
Q: Determine (with proof) if there exist integers m and x such that 2003m 2 = 2.x(x – 20). If they exis...
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Q: Solve if 100%
A: Introduction: A percentage is a number or ratio that represents a fraction of 100 in mathematics. It...
Q: Sketch the cardioid r = 3 cos 0 and find the coordinates of the points on the cardioid where the tan...
A: Given polar equation is r=3cosθ
Q: Suppose f'(z) is continuous over an interval a <I< b, and a <c<d<b. If f'(c) = 5, then (check all th...
A: Given that the function f'(x) is continuous over an interval a≤x≤b and a<c<d<b
Q: (a) Find the gradient, x and y intercepts for the equation, x = y + 2.
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Q: Find the value of p(x,4)and p(x,6) using permutation formula where x is the 09.
A: We have to find the value of p(x, 4) and p(x, 6) using the permutation formula. Here, x=09
Q: Find the value of P(?, 4) and P(?, 6) using permutation formula, where ? 13
A: Introduction: A permutation is the arrangement of a certain number of objects from a given set of ob...
Q: Consider a linear transformation T: R2 ⟶ R3, whose matrix T. Also consider the bases β={(1,0),(0,1)...
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Q: Rewrite each equation in fac- tored form and solve using the zero product property. A. x^2 + 18x + 8...
A: Zero product property states that if a.b=0, then either a or b is zero.
Q: Each year, 50% of the people from City A move to City B, and 30% of the people from City B move to C...
A: We have to find the population of two cities after 2 years.
Q: 8. In the following either show that the set W is a subspace of the vector space V or give a counter...
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Q: y(t) = L** [o-* (7-3) +F(25 - 3) * s(2s – 3) 6. 9
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Q: What is the relationship between a Sylow 2-subgroup of S4 and the symmetry group of the square? that...
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Q: (b) Given the following logical circuit with three inputs A, B and C: i. Use the boolean algebra not...
A: Given logical circuit with input A, B, C is Solution (1) Boolean expression on the circuit is So o...
Q: I want X(s)=
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Q: 3 dimensions (2,3,1)
A: In this question, the concept of the graph is applied. Graph The graph of a function is the collecti...
Q: Find the 3 × 3 matrix that produces a translation by (8,7) followed by a reflection through the x-ax...
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Q: The length of a rectangle is 8cm more than its width. Find the dimension of the rectangle if its are...
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Q: Determine one real root of 2xcos2x – (I on the interval (2, 3)using the Regula-Falsi
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Q: Given the following set of discrete data in Table 2. Table 2 0.2 0.3 0.4 0.5 0.6 0.7 f(x) 1.0832 1.3...
A: Given: Set of discrete data, To find: f'(0.4) using backward difference.
Q: Prove that (P → 9) → (¬p V q) is a contingency.
A: Given, The Proposition is :- (p→q) ↔(¬p ∨q) We have to create truth table for given Proposition.
Q: Solve, using the method of variation of parameters: 2?y" – 2xy + 2y = x*e*
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Q: prove that a group of order 45 is abelian.
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Q: ing by Polya's Strategy Solve the following problems using any method. A frog was at the bottom o...
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Q: x°dy + xydx = x²dy + 2ydx; y = e when x = 2
A: Given: x3dy+xydx=x2dy+2ydx; y=e when x=2 To find: Solution of given differential equation.
Q: The block shown figure below is acted upon by its weight W = 200 lb, a horizontal force Q = 600 lb, ...
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Q: 1) Consider the set X = {x E R' / 93x1+34x2 + 26x3 + 18.x4 < 131, x1, x2, 3, X4 E {C (a) Show that x...
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Q: (b) Consider the following Venn diagram representing three sets A, B and C intersecting in the most ...
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Q: |z|<|z+2|
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Q: 3) Sea la función periódica de periodo T = 2n t+ n (-n<t< 0) (-n <t< 0) f(t) = (0 <t < n) a) Dibuje ...
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Q: Are these two triangles congruent? If so, state the rule which you used to determine congruence. SAA...
A: Correct option is last.
Q: Solve using selaration of variables: xy^3 dx + ex^2 dy = 0.
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Q: ams per Liter. Given that the concentration of salt in the water varies linearly as a function ρ(y) ...
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Q: 3. 1Consider the following data: 1.3 1.35 1.45 1.5 1.55 g(x)5.0376 5.4265 5.8472)| 6.3020 6.7933) 7....
A: We will use basic knowledge of numerical analysis to answer this question. NOTE THAT IN YOUR QUESTI...
Q: a circle is tangent to the line 2x-y+1=0 at the point (2,5) and the center is on the line x+y=9. fin...
A: Given that Line 2x-y+1=0 touches the circle at point P(2,5). It means line passes through P(2,5) and...
Q: Question 1. Suppose that G = xy = yx². {e, x, x², y, yx, yx²} is a non-Abelian group with |æ| = 3 an...
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