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Q: Determine the solution of the following differential equation: d²y dx² dy 8-+16y=0 dx where y(0) =…

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Q: A donur Store sells hom donuts without holes. For out of к boxes of donuts n donuts and donuts of…

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Q: 3. X = {m € N|1 ≤ m ≤ 20}. Y is the set of all nonempty subsets of X. An action of S20 on Y is given…

A: Given,       X=m∈ℕ | 1≤m≤20,       Y=Set of all non-empty subsets of X. and action of S20 on Y is…

Q: Let f: S¹→ S¹ be a homeomorphism.  Prove that h(f) = 0

A: Given that, Let f:S1→S1 be a homeomorphism. Therefore we have to proved that hf=0. So, consider…

Q: Let f: XY and g: Y→ V be functions. Show the following: (a) f is injective 3h: Y→ X such that hof=…

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Q: Is there some time t, 0 < t < 8, such that R'(t) = 0? Justify your answer.

A: Given: The below table is given, To find: Any value of t in the interval 0&lt;t&lt;8 at which…

Q: ) Consider the vectors -- () --- () --- () a= = Do these vectors form a basis of R³? If yes, prove…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Suppose that the set A ={X₁, X2..., Xn}, X₁ ER" spans the entire space R", i.e. for any arbitrary n…

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Q: Prove that x² = 13 (1²) + 1) = (xin(e))) ১0 sin(0)

A: Given  x=rsinθ cosϕy=rsinθsinϕz=rcosθ To prove :∇2=1r2∂∂rr2∂∂r+1r2sinθ∂∂θsinθ∂∂θ+1r2sin2ϕ∂2∂ϕ2

Q: (a) Let 0 << X. Find a Fourier cosine series for 8(x-), where 8(x) is the Dirac delta function,…

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Q: Question 3. Let f(x) (sin x)2 for x ER and let [x] denote the largest integer less than or equal to…

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Q: A. Orthogonal projection onto the y-axis in R². Consider the linear transformation that projects all…

A: Given: Orthogonal projection onto the y-axis in ℝ2 given by the linear transformation T which maps…

Q: X -2 -1 0 1 2 y=-4x3 + 2x+1 현 1" 2nd 30 X -2 -1 0 1 2 3 y = -3x4 + x-1 D 1st 2nd 30 4th

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Q: 3. Determine the equation of the cubic function with zeros -1, 213 and 3, passing through (4, 5).

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Q: suppose we have f: A->B a one to one and onto function so that function has an inverse, suppose we…

A: Function which is one to one and onto

Q: Determine the average rate of change of f(x)=2x+1 on the interval 4<x<5. a) f Ax b) Af Ax = 2 O d) 4…

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Q: Explain your reasoning for each step. 20 in LABC 20 m B 16 m 88⁰ 15 m C

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Q: Prove that if two transformations are topologically conjugate and one one of them is topologically…

A: Let f and g are two transformations are topologically conjugate i.e f: X→X and g:Y→Y be…

Q: Problem. Let in R³, the hyperbolic paraboloid z = xy (a.) Find E, F, G, L, M and N …….... (b.) Prove…

A: Given That: In R3 hyperbolic Paraboloid is z=x y To Find : a) Value of E,F,G,L,M and N b) Gaussian…

Q: Suppose that A = PDP-1, where P = A¹ = 100 -1 1 -1 0 -1 0 Use the diagonalization of A to compute…

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Q: Consider the graph of the function f. f(x) 10 -5 10 10 10 K

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Q: 9 Give with an not example of T: W≤X →Y, to XT Ext. .R. boundedag. - keše bes

A: Please find the solution innext step this is an non-example of Tietze extension theorem in Topology.

Q: 4. The ICARE Company has three plants located throughout a state with production capacity 50, 75 and…

A: The Vogel's approximation method is an iterative procedure to minimize the transportation cost or…

Q: dv/du = (u — v)² — 2(u — v) — 2.

A: We need to solve the Bernoulli differential equation: dvdu=u-v2-2u-v-2.

Q: Consider the Riemann surface S of the algebraic function given by 3 W= (z −2)² (√√2+i) (a) What are…

A: Given That : Reimann Surface S of the algebraic Function given by  w=(z-2)2(z+i)3 To Find : a)…

Q: Lim 4+2+ 3x+1 2-x

A: Given: The limit is limx→2+3x+12-x. To find: The value of given limit. From the given expression the…

Q: What is the average rate of change between the point (-3,0) and (2,5)? (-3,0) a) 4 =1 Ax 12 10 0…

A: Given graph has two points -3, 0; 2, 5 Average rate of change ∆f∆x=f2-f1x2-x1

Q: Consider the following boundary-value problem: ²u²u + Ər² Əy² u(0, y) = 0 and u(1, y) = 0, y> 0,…

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Q: 100. In a topological space, which of the following statements is correct? Sisianoge (A) a compact…

A: We have to find the correct statement

Q: One eigenvalue of the matrix A 1 12 167 -3 14 12 is A₁ = 5. -10 30 45. Find enough vectors to form a…

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Q: It costs $60 to buy green bean seeds. Green beans sell for $40. It takes 10 days for green beans to…

A: Given The cost of green bean seeds are $60 Green bean selling price is $40 It takes 10 days to grow

Q: 5. dy/dx = sin(x + y). ANS. x + c = tan (x + y) - sec (x + y

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Q: Compute the rotated area bounded by y = 2x, y = 8 about line x = 3

A: Given regions are: y=2x2, y=8 and the line x = 3 We have to compute the rotating area bounded by the…

Q: Q.No.3. If 20 men make 14 tables in 10 hours. How long will it take 12 men to make 40 tables? Q. No.…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Food sales are $82,300 and Beverage Sales are $29,200.  If food cost % is 35% and Beverage cost % is…

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Q: prove if x → y then xor y = y =

A: To prove : If x→y then x or y = y Lets use the help of truth table to prove the above statement.

Q: Use Stokes' Theorem to evaluate the integral: [cur S curl F. dS F(x,y,z)=ze' i+xcos (y) j+xzsin (y)…

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Q: Question 4 Solve the differential equation (x + sin y) dx + (xcosy-2y)dy =0

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Q: 2. D²y(t) + 12Dy(t) + 36y(t) = 1t³ y(0) = 1; Dy(0) = 0

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Q: the following statement. 'If yes, explain why. If no, provide a counterexample. For every real…

A: If the function is injective , then the above statement is true.

Q: 100. In a topological space, which of the following statements is correct? (A) a compact set is…

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Q: a) How many arrangements (b) How many arrangements are there of the letters of KNICKKNACKS? are…

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Q: 9. After looking at this list, you are concerned that you may not be able to afford the food that…

A: The formula to calculate Price per Protein (g) is given as: Price per Protein (g)=[Servings per…

Q: (b) Find all subgroups of (Z/2)×2 = Z/2 × Z/2.

A: Given information n-fold cartesian product ℤ2×n = ℤ2 × ℤ2 ......... × ℤ2 Part (b):-  put n=2 ℤ2×2 =…

Q: I'm having trouble reading your answer

A: A is diagonalizable if there exists a invertible matrix P such that A=PDP-1  where D is the diagonal…

Q: 81) Find the height of a moving box if its length is 32 in, its width is 26 in., and its surface…

A: Let height  = h Length l = 32 in. Width b = 26 in. Given  Surface area of the moving box = 2940 m2…

Q: 9. Compute the area of the region in the ry-plane wich is bounded by the x-axis and the curve r(t) =…

A: Introduction: To determine the parametric areas, one must compute the area under the mathbbR2R2…

Q: Find the gradient vector field of f. Sxy f(x,y) =xe

A: Here the given function is f(x,y)=xe5xy. We have to find the gradient vector field of the given…

Q: Find the laplance transformation of the Fallowing function :- f(t) = Sint üil f(t) = e-¹ sint 000…

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Q: 70t (55t + a for where t is the elapsed time measured in hours. Find a. for 0 2 d(t) = {5

A: Given that dt=70t            for 0&lt;t≤255t+α     for t&gt;2,where, t is the elapsed time measured…