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Q: find solution using direct integral method for the partial differential equation below: 2³ z 1 = 12…

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Q: Triangular wave x(t) = t, 0 < t < 1, T = 2 Ao = 1/2, An= -4/(πn)2 for odd n, Bn = 0

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Q: 2.3.9 Using the third-order Adams-Bashforth-Moulton predictor-corrector method (that is, the second-…

A: We can solve this using given information

Q: We say a linear transformation T R → Rn is an involution if T2 = : I. What are the possible values…

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Q: The diagonal of a rectangle is 284 millimeters, while the longer side is 234 millimeters. Find the…

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Q: (a) Given that A= 1-2 1 3 5 0 2 and B = -3 4 06 1 2 -1 3 " determine

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Q: We have a semigroup (M, *), where M = R- {k} a a b = a + b-kab. Find also that, (M, *) is a group.…

A: Semi group will be a group if there exist an identity element and every element has inverse.

Q: 4-1 { 27. 9-1 2s - 4 (s² + s)(s² + 1))

A: Solution :

Q: 2 1. Given a space curve a:1= [0,2m] → R³, such that a ()= a(), then a(t) is... Curve A. a closed D.…

A: Solution : 1  Option ( B) is correct  Simple

Q: 6. Consider [n] := {1,2,3,...,n}. The uniform subset graph U(n, k, i) has vertex- set the k-subsets…

A: Given: The set, n:=1,2,3,...,n. The uniform subset graph Un,k,i has vertex set the k-subsets of n.…

Q: (III) Find the Half-range Sine series of f(x) = sin(x) on (0,2).

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Q: The second-order Adams-Bashforth method for the integration of a single first-order differential…

A: Problem is solved using concept of second-order Adams-Bashsorth Method.

Q: A gas station sells Q gallons of gasoline per year, which is delivered N times per year in equal…

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Q: give follow (a) the volume of R using cylindrical coordinates with dV = r dz dr de where R: 0≤ x≤…

A: set up the integral (a) the volume of R using cylinderical coordinates with dV=r dz dr dθ where…

Q: Find the area of the region by bounded by y² = 4x and y = 2x - 4 by integrating with respect to y.…

A: Solution :

Q: Q5: (A): Finding a curve whose slope at the point (x, y)is 3x² if the curve is required to pass…

A: if the curve is passing through the point (1,-1) then we have to find the curve if the slope of the…

Q: Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

A: given curves 0≤x≤10≤y≤1-x20≤z≤4-x2+y2 claim- set up the triple integral and draw the solid

Q: (3) Find the formula for the number of ways for putting n identical balls into k distinct boxes so…

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Q: 1. Find the product of the following decimal numbers. 1.) 4.54 x 0.16 = N 4.) 0.38 x 7.11 = N 2.)…

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

Q: Question 5 d (a) If ẳ (tanh x) dx = 1/4, find the value of sinh x without a calculator. Show the (b)…

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Q: find solution using direct integral method for the partial differential equation below: გ37 əx² əy =…

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Q: 5. The dimensions of a cylindrical object are increased by a scale factor of 3. The volume of the…

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Q: Complete the table shown in Figure 2 for the N = 5 data points, and hence solve the following system…

A: Solution

Q: Sketch the domain of integration of the double integral (√(1-x²) La d.x dy x+y √(x² + y²) 0 0 and…

A: We will find boundary curve for domain of integration  . To find value of integral we will use polar…

Q: 3. A wildlife manager counted 1800 mice in a 10-km² area of forest. It is predicted that the mouse…

A: Solution :-

Q: Let A and B be sets. Prove that if A = B, then A† = B+.

A: Question from set theory.

Q: Refer to B={ ={₁0, -6, 0.23, 3, -1.7, √7}. Determine which elements belong to the given set.…

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Q: (B) Use Tabular integration f(t³-4t² to evaluate the following: - + 5t+32) sin(t)dt

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Q: what is the equation of fo

A: Given,  Vi Pi 2.27 2500 2.4 1000 3.31 5491 3.27 23700 3.85 78200 3.7 14000 4.81…

Q: Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

A: We can solve this using given information

Q: Set up the triple integral that will give the following: (b) the volume of the solid B that lies…

A: We have to set up triple integral to get the volume of solid B that lies above the cone z=3x2+3y2…

Q: Consider the recurrence relation an = -2an-1 +15an-2 with first two terms ao = 4 and a₁ = 10. a.…

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Q: (MATRICES) Solve the following problems as directed. Show complete solutions and box the final…

A: We can solve this using given information

Q: What is the equation for curvature for the curvey=sin(x)? What is the curvature of the curve…

A: The equation of the circle of curvature is calculated using the formula: x-x2+y-y2=ρ2, where:…

Q: 2. Let S be the set [9] = {1.2..9}. 1 (D) How many derangements of S have 9 in the 2nd position and…

A: We have the set 9=1,2,...,9 We need to find the number of derangements. There are 9 places to fill…

Q: Find the present value of payments of $300 made at the end of each six months for eight years. The…

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Q: Find the value of X(0.3) for the initial-value problem d²x ² dx + x = sin t, x(0) = 0, dx (0) = 1…

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Q: If v (x, y, z) = 6i-12j+7k find 1) Divergence of v. 2) curl of v.

A: v(x, y, z)=6i-12j+7k

Q: If f(x) ≤ g(x) for all x in [a, +∞o) and converges. •+∞ f(x) da converges, then [*** g(x) dx also

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Q: z² = 15x² +5y²-30

A: Solution :-

Q: Consider the initial value problem y': ty (8 - y) 4 , y(0) = y0. a) Determine how the behavior of…

A: Here given  y'=ty8-y4 or dydt=ty8-y4 .......(1)

Q: 2.3.4 Find the value of X(1.1) for the initial-value problem dx dt =-xt, x(1) = 0.1 using Euler's…

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Q: 1. A₁-[0,4], A2-[1,5), A3= [0.5,3], A4- (1,9] As 2. A₁-[0,4], A₂-[1,5), A3- [0.5,3], A- (1,9] As 3.…

A: As per the company rule, we are supposed to solve the first three subparts of a multi-parts problem.…

Q: -U 1. Let the vector u = -i +3j+k, find 12

A: Solution :

Q: 2. An oven technician charges a call-out fee of $50 and an additional $20 per hour for the duration…

A: The call out fee is $50 additional fee per hour = $20 per hour let t be the number of hours…

Q: Q5: (A): Finding a curve whose slope at the point (x, y)is 3x² if the curve is required to pass…

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Q: Solve the following non-linear equations: 2 100x₁ - 10x₂² + 5x3³ = 70 3x₁² + 10x₂-X₁X3 = 5 X₁X₂ +…

A: Thank you for the question. According to our guidelines we can answer only  first question and…

Q: 3.4.4 Evaluate ff sin(x + y) dx dy over the triangle whose vertices are (0, 0), (2, 1), (1, 2).

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Q: EXER 7: MATRICES Prove that if N is invertible then MN¹ = N¹M if and only if MN=NM.

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Q: Evaluate: (2) A5₁ Clearly showing your working

A: We need to evaluate i. The meaning of a5(2) is the present value of an immediate annuity of an…