- (x + y − 1)dx + (2x - y)dy = 0.

Q: Let V = P4 over the field F and consider the set W ={p(x)∈V | p(x) is divisible by (x+1)}. Show…

A: Sol:- To show that W is 3-dimensional, we need to find a basis for W that has exactly three…

Q: Consider the weighted voting system [19: 13, 6, 4, 2] Identify the dictators, if any. Identify…

A: Weighted Voting system 19:13,6,4,2

Q: 7. dp dt dq dt dr dt =3p-2q-7r = -2p+6r = 7.3q + 2r

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Q: Let A ER be a nonempty subset such that sup A exists. Suppose there is a BC A such that whenever a E…

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Q: 2. Find the polynomial the passes through the following points (0,0), (2, —2), (4,0)

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Q: (c) Determine the values of a and b if T(x,y,z) = (2x+y+z,a+3y,b+4z) is not self- adjoint.

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Q: 5. Graph the inverse of the function shown. State whether the resulting inverse is a function. Why?…

A: fx=-x-12+5

Q: Find the annual percentage yield (APY) in the following situation. A bank offers an APR of 3.4%…

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Q: Please answer #6 now.

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Q: Use the crossing-graphs method to solve the given equation. There are three solutions. Find all…

A: let us consider  f(x)=x4 and g(x)=2x  given that x4=2x and it has three solutions we have to find…

Q: C\index{1} and C\index{2} are circles of unit radius with centers at (0,0) and…

A: The equation of any circle through (0,0) and (1,0) is…

Q: Question 14 Let T(x, y) represents the temperature at a point (x, y) measured in degrees Celsius. A…

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Q: Find the Banzhaf power distribution of the weighted voting system [33: 18, 16, 15, 2]

A: For any weighted voting system with N players, the following algorithm is used to find the; Banzhaf…

Q: Use Laplace transforms to find the Green's function G(t, to) d²³G dt2 +cG=8(t-to), G(0, to) = 0, dG…

A: Recall the some formula:-   The Laplace transform is linear operator i e. for any constants a and b…

Q: Determine constants a, b, c, and d that will produce a quadrature formula [*' f(x) dx = a f(-1)+bƒ…

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Q: must give each answer written 9+6log_(4)x=14

A: must give each answer written 9+6log_(4)x=14

Q: How much must be deposited today into the following account in order to have $70,000 in 8 years for…

A: Amount A=$70,000 Time periodt=8 years Rate of interestr=6%

Q: fc2y² dx + 5x² dy, where C is the parabola x = y² from (1,-1) to (4,2).

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Q: 25 Given that w is the vector projection of a on b, express the following vecto projections in terms…

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Q: (1) Let G= be a finite cyclic group of order n. (a) Suppose that n = dq where d and q are…

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Q: Only one try is allowed on this question. If the infinite sum converges, use the Remainder Estimate…

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Q: – Calculate the series Σ≡ (2i + 2)

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Q: Triple integrals Use a change of variables to evaluate the following integral.

A: The given integral function is as follows: ∭xy dVD D is the boundary by the planes y-x=0, y-x=2,…

Q: The APR for loans can also be approximated (however, not within the  1 4  of 1% accuracy required…

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Q: 110 Prove that if x,y,z are real numbers such that x+y+z= 0, then xy + yz+zx≤0.

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Q: Consider the sec then, obtain a finite difference approximation for the first-order derivative U…

A: Given that the second order truncation error = O∆t2 We have to obtain first order finite difference…

Q: Show that the equation of the circle passing through (1,1) and the points of intersection of the…

A: To prove that the equation of the circle passing through (1,1) and the points of intersection of the…

Q: Prove directly (do not use Theorem 1.8) that, if {an} ∞n=1 and {bn} ∞n=1 are Cauchy, so is {an + bn}…

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Q: The data and graph above show the number of hours of daylight in Richmond VA for specific dates…

A: A periodic graph is a type of graph that exhibits translational symmetry. This means that the graph…

Q: (a) Let A be a 5 x 5 matrix. Deduce the Jordan Canonical Form (JCF) with the assump- tions det(A-21)…

A: We are given with characteristic polynomial of A . From here we can say that eigen values of A are…

Q: 1. Let n E N and suppose X is a set with n elements. Define V as the set of all functions f : X → C.…

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Q: log_(6)(x+4)+log_(6)(x+3)=1 bour answer Please fill out this field.

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Q: 8. We are making a growth chart for Amanda. At year t, her height in inches is h. a) typically we…

A: Sol:- a) Typically, in a scenario like this where we are measuring the height of Amanda at different…

Q: Let N₁ and N₂ be distinct index 2 subgroups of G. Prove that nN₂ is a normal subgroup of G and that…

A: Given problem is from group theory. To prove this result I have used fundamental theorem of…

Q: Evaluate each of the following limits: 4-x a.) lim x-1 x-2 x²-x x-1 x²-1 b.) lim

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Q: { Evaluate the expression. log 5898

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Q: Use the indicated method of solution to determine a one-parameter family of solutions for each DE.…

A: Solution - 2  :Given differential equation dydx=-3x2+2y24xy

Q: Which graph, traced out only once, has a larger arc length? Explain your reasoning.

A: Given: Figure a) represent the rose curve whose equation is  r=2cos3θ and equation of b) is…

Q: 1 -I- 6. Solve the system: [-1 solve) ܝܕ ܚܬ ܝܠ 1 -1 How -3 N४ 0] y = −1 [ 1 ] (matrix multiplication…

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Q: Step 1 (a) Find the approximations Tg and Mg for the given integral. (Round your answer to six…

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Q: Prove that a sequence (Xn)neN of vectors in Rd converges if and only if each one of the sequences…

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Q: Discrete mathematics. Translate the following statement into a quantified sentence.

A: Given statement is        The sets A and B are equal    Case(1) :         If the given statement is…

Q: Show that the rectangle that has maximum area for a given perimeter is a square.

A: Given the rectangle. We have to show that the rectangle that has maximum area for a given perimeter…

Q: If you have a Magic Kingdom Club Card from Disneyland, a hotel offers a 15% discount on double…

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Q: The natural number a divides the natural number b.

A: We have to translate the following statement into a quantified sentence. "The natural number a…

Q: 27. Let S be a nonempty subset of R that is bounded from above but has no greatest element. Prove…

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Q: find the amount of money in account after 5 years. d. How many years will it be before the account…

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Q: Use a substitute variable to replace y in order to make this DE separable, then separate and solve:…

A: Given that y'= -(64x^2-4xy+y^2)/(4x^2) We have to use a substitute variable to replace y in order to…

Q: Let G= be a finite cyclic group of order n. Suppose that n = dq where d and q are non-negative…

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Q: (27) The Eiffel Tower is 324 m tall. Denise is at a café west of the tower. She is looking up at the…

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