Write the number 2.01858585... as a fraction of integers of the form in lowest terms, i.e. with m, n E N and gcd(m, n) = 1. Enter m and n in the appropriate boxes. m =: n =:

Q: 2x + 3y + 3z = 2 4x – 3y – 6z = 2 10x – 6y + 3z = 0 Given values – 144, -192, and 96 for Dx, Dy,…

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Q: Let A, B be sets, let P, Q ⊆ A be subsets of A, and let f: A → B be an injective function. Prove…

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Q: Question I Find the Maclaurin series of F(x) = f Maclaurin series f(t) = = Provide your answer…

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Q: Show that (x + sin y)dx + (x cosy-2y)dy = 0 is exact. Solve the DE in (a).

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Q: Compute the following: a. (2+5)* b. (4-3i)¹/6 c. Simplify: cos 50+isin50 cos 40+isin40 d. If z = cos…

A: De Moivre's theorem:-  (Cosθ + i Sinθ)n= Cos nθ + i Sin nθ where n is rational number.   Exponential…

Q: After adding a markup of 20% on the cost of an item, a shop keeper sold the item for K336. How much…

A: It is provided that the mark up is 20% and the price after adding it is K336. We need to calculate…

Q: Use the change of variables s = xy, t = xy² to compute f xy² dA, where R is the region bounded by xy…

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Q: Find the solution to the initial value problem. z''(x) + z(x) = 5e*; z(0) = 0, z'(0) = 0 -X The…

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Q: #3. On the grid below, draw three lines: one with a slope of 2, one with a slope of -5/3, and one…

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Q: Let f(x, y) = xy. Suppose x = g(s, t), y = h(s, t), where g and h are differentiable functions. Find…

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Q: И U2 VI V4 V3 V5

A: Remove the edges between v1,v2 and v1,v4 and v1,v3

Q: 40 0 4. 8 4 8 0 0 4

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Q: 3. Given f(x, y, z) over the tetrahedron T defined by 2x - 3y - 6z = 6 and the three coordinate…

A: See the graph of T Plane 2x-3y-6z=6 and three coordinate axes

Q: please expalin how you obtain it thanks

A: Please find the answer in the next step

Q: Given the linear differential equation dy +3 = sin(x). da Which one of the following is a valid…

A: We have to find the integrating factor of the given linear differential equation dydx+3yx=sinx . We…

Q: g(x) = -2 [[x]] Graph the function and identify the domain and range.

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Q: ctions: Complete the conversions and show your set-up on a separate sheet of paper. alator. . 75 mL…

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Q: Let f(x) = 2x² + 3x and g(x) = − 2x − 1. Find f[g(-5)]. f[g(-5)]=

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Q: Calculate the work expended when a particle is moved from O = (0,0) to Q = (10, 10) along the…

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Q: Taylor series is Co = C1 C₁ = Sex with n=0

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Q: Find the range of the following functions. a f(x) = 5x+1, domain (xe R. -5 ≤x≤5) b f(x)=4-2x, domain…

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Q: The doctor prescribed 90 mL of medication daily divided equally into two doses. How many ablespoons…

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Q: Let S be the set of all finite sequences of letters a, b, c. For example, the following are elements…

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Q: 6. Suppose Xxi and V(X) = 8. Find E(X³)

A: Given X is chi-square distribution with k degree of freedom.

Q: 4. Let G be a group of order 49. Prove that G is cyclic or g7 = e for all g € G.

A: Given a group of order 49, then to prove that either G is cyclic or g7=e for all g∈G.

Q: A company's production is given by the Cobb-Douglas function P(L,K) = 12L0.4K0.6 Find and Interpret…

A: The company's production is given by the below Cobb-Douglas function. PL,K=12L0.4K0.6

Q: Decide, without calculation, if each of the integrals below are positive, negative, or zero. Let D…

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Q: 2 Diagonalize the following matrix. -6 107 -5 9 лессе W P = D = P-¹ = #3 с Calculator E $ 4 R G…

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Q: Prove the following: 1+4+7+...+(3n - 2) n(3n-1) 2

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Q: 7) The solid E is a tetrahedron bounded by the coordinate planes and the plane 3x+2y+4z=8 in the…

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Q: Two players, R and C, each have two cards. R has one black card with the number 4 written on it and…

A: Given that two players, R and C, each have two cards. R has one black card with the number 4 written…

Q: Let A = 5 - 2 - 12 - 10 188 || - 12 16 and Check Answer = 104- Define the linear transformation T:…

A: A linear transformation is a mapping from one vector space to other vector space. It is denoted as…

Q: 4. Computer²ydA, where R is the region bounded by the circles z² + y² = 1 and 2² - 2x + y² = 0 and…

A: Solution :-

Q: Research suggests that those hamsters that survive the infection cannot be infected again. This…

A: dIdt=k0PIP-I⇒∫dIIP-I=∫k0Pdt⇒∫dII-∫dII-P=∫k0dtP⇒lnII-P=k0tP+C⇒II-P=Aek0tP⇒I=IAek0tP-PAek0tP⇒I1-Aek0tP…

Q: 5) Consider the following election with 7 voters and 4 candidates. Determine the winner using the…

A: As per the guidelines I am solving 3 subparts only.   Plurality Method: In this method, we count the…

Q: A tank initially contains 100 L of fresh water. Solution 1 is a brine solution containing 3 kg of…

A: We will formed a differential equation for amount of salt in the tank and then solve it to get…

Q: Find f[g(x)] and g[f(x)] for the given functions. 3 f(x) = -x³ -x+2, g(x) = 3x + 5 f[g(x)] =…

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Q: Suppose that Emily opens a restaurant. She receives a loan from a bank for $200,000. She withdraws…

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Q: Anya Forger was infected by a virus named P-00 Bomb returns to Eden Academy after their family…

A: We will formed a differential equation for number of infected people , Then solve it find actual…

Q: Find the optimum of f(x) = 2.2x-1.7x² + x³ -0.25x Perform: (Round-off all computed values to 4…

A: We know the golden ratio is 0.618.  We need to find the value of d where d = 0.618b-a For our first…

Q: An office has 6 men and 12 women employees.  Three employees are picked at random for a trip to…

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Q: e

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Q: ) A 3 × 3 matrix M has columns 7₁, 72, 73 (in that order). (a) (5) Compute the determinant of the…

A: Kindly refer to Step 2 for the solution.

Q: 2. Evaluate the given line integrals where C is the given curve T a) xsiny ds C is the line segment…

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Q: Prove that [0,1] has the same cardinal number as [0,2] U[7,9].

A: Introduction: If there are too many items in a set for them to match one to one with the set of…

Q: A telescoping series is a series in which each term an can be written as an = bn-bn+1 for some…

A: We will prove the sum and then will check convergence of the series using definition of convergence…

Q: Given two functions f(x)=8x and g(x)=3+x. Find the composition of two functions. f(g(x)) = g(g(x))=…

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Q: Question 11 For f(x, y) = x¹y+y+ 2², calculate f. (2, 1). O O 20 10 40 80

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Q: Let ƒ : R² → R be defined by ƒ((x, y)) = −7x − 9y. Is ƒ a linear transformation?

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Q: Say whether the following function is injective, surjective, bijective, or none of the above (note:…

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