1. If three forces are represented by the vectors A, B and C, find their resultant force and the vector D of the force that will maintain the forces in equilibrium. 2 A = 5 B = C = 4 -2 4 -2

Q: After solving for P(3), construct a histogram for the table below: 1 3 4 P(x) 0.05 0.25 0.4 ? 0.06

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Q: Solve the initial value problem using Laplace Transform Method y' + 9y = 0 y(0) = 2 2 sin 3t Oa. 'yt...

A: Solution:-     The given differential equation is             y' + 9y = 0  and   y(0) = 2 then , we ...

Q: x = a² – y? E Use this equation · Write the equations for xz- and yz-traces. . Plot (rough) the . Us...

A: 1st we will find out traces on co ordinate planes and the combined them to find figure of the surfac...

Q: A. Projectile Motion A child throws a ball upward from the roof of a house. The trajectory is parabo...

A: h(x)=-3x2+6x+4

Q: Maklumat menunjukkan vektor-vektor, b dan c, di mana n dan madalah pemalar. Information shows vector...

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Q: After solving for P(C), construct a histogram for the table below: 1 2 3 4 5 P(x) 2 1 4 1 15 15 3

A: Please find the detailed solution in below image

Q: Task 8 Let (X, || · ||x), (Y, || - ||Y) be Banach spaces. Show that (L(X,Y), | | |(x.x) is a Banach ...

A: Solution :-

Q: 3. Show COMPLETELY that the equation y = C (-1)"x" n=1 is the general solution to the differential e...

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Q: Analyze the polynomial function f(x) = x-(x- 2) using parts (a) through (e). (a) Determine the end b...

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Q: I1+I3=I4 I2+I1=8 2I2+3I3=0 find the matrix, rref and then solve

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Q: 7) Set up and evaluate the definite integral for the area of the surface generated by revolving y =x...

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Q: The trajectory of an object moving in the xy-plane is governed by the system of first order ordinary...

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Q: Which constant c would best be described as a constant of integration? c +1 Secx=a

A: The indefinite integral always results a constant of integration. 

Q: Consider the initial value problem (x + 1)y" – y" – (x + 1)y' + y = 0 y(0) = 2, y(0)' = 1, y(0)" = 1...

A: Let us consider the set of functions {y1,y2,y3} then the Wronskian is obtained as Wy1,y2,y3=y1y2y3y1...

Q: h(x) = 100 + 3x sin 18 Let P(x) be the linear approximation of h(x) at x = 3. (a) Find P(x). Show fu...

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Q: Let G be a group, and let H < G. Assume that the number of elements in H is half of the number of el...

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Q: -[x:(x²14 ^y= 1) O ¥x:(x?s14vy= 1) None O ¥x:(x?s14^y= 1)

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Q: Task 24 Proof the Poincaré-inequality in the n-dimensional case. Task 25 Proof Remark 6.12.

A: According to bartleby guidelines I need to solve one question please excuse 

Q: The orthogonal trajectory of the 1-parameter family of curves, y = cr will be given by: r² + y? = c ...

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Q: dy 4. Solve the homogeneous differential equation + 6xe x. dx ||

A: Solution :-

Q: 4x3-5x-3 2x

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Q: (a) Let G be a non-cyclic group of order 121. How many subgroups does G have? Why? (b) Can you gener...

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Q: In((5+j3) + (6e12)] - 10430°

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Q: Approximate the root of 2r - 11.7r + 17.7x -5 = 0 using three iterations of Newton-Raphson Method. U...

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Q: PROBLEM1 Instruction: Prove that the relation is  an equivalence relation.  For x, y ∈ R say x is ...

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Q: e the following initial value probler (1+x²)y' – 2xy = (1+x²)², %3D

A: Introduction: If a differential equation contains ordinary derivatives, it is referred to as an ordi...

Q: Definition 4.24: Let G be a group, and let Ω be the set of subgroups of G. Let G act on Ω by conjuga...

A: We prove our claim by using definition of NG(H).

Q: Use Bisection Method to approximate one real root of f (x) = -0.6x² + 2.4x + 5.5 on the interval (5,...

A: The bisection method performs iterations on the midpoint of an interval to approximate the root of a...

Q: Consider the integro-differential equation dy + 4| dt [ relt-r)dr y(T)dr + 4y(t) = subject to | y(T)...

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Q: L{ett sinh? (2t)} 8(3s2+6s–16) (s+1)°(s²+2s–15) 8(3s2 +6s-13) (s+1)°(s² +2s–15) 3s2 +6s 16 (s+1)(s² ...

A: To find Le-t t sinh2(2t) 

Q: Are the points (−2, 1), (1, 7), and (4, 14) on the same line? Why

A: We are given three points to check if they are linear or not. Three or more points are said to be li...

Q: Solve for x: 7/15 = x-3/100

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Q: For each of the following sequences, (i) Find all accumulation points and compute lim sup and lim in...

A: The answer for the above problem is given below please do upvote if you like thank you

Q: 22.L{tsin (-2t)} O - (s²+4)? 2s (s² +4)° 8s 4s (s?+4)

A:  Correct option is  = A Please find attachment for the details solution

Q: Find the general solution to 1 y +

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Q: Solve the following initial value problem: 1 dy + 2ry? + (2a²y – cos(y)). 0, y(1) = . dx

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Q: Let G be a group of order 121, and let N be a set with 16 elements. Assume that G acts on S. We are ...

A: Solution :-

Q: dy 2x+y(6y? – x – 1) = 0 dx y?(6 + Cxe") – x = 0 x?y?(6+ Cxye*y) – xy = 0 x?(6 + Cye*) - y = 0 None ...

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Q: b) The diagram below shows a solid shape E with uniform cross-section. Find its volume. '10 cm! 12 c...

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Q: For the given rational function, (A) Find the intercepts for the graph. (B) Determine the domain. (C...

A: Note: We will only answer up to three sub-parts as the exact one is not specified. Please resubmit t...

Q: Consider the force field F(x, y, 2) i+ x² cos z + j+ -k (a) Use Gauss' theorem to find the flux acro...

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Q: f(x) = cos(x), a = 0, x = 0.1 %3D (Round your answer to six decimal places.) T3(0.1) = 0.995004 |S(0...

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Q: The rate at which a body cools also depends on its exposed surface area S. If S is a constant, then ...

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Q: 2. (15 points) Identify the type of the differential equation and solve the initial value prob- lem ...

A: This is linear non-homogeneous differential equation. We will solve it first get the integrating fac...

Q: Pemboleh ubah x dan y dihubungkan oleh persamaay = 1000 . Rajah 3menunjukkan sebahagian garis lurus ...

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Q: We are interested in the impulse response of the dynamic system: ÿ + 2ý + y = 8(t). Assuming the ini...

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Q: Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values...

A: Let us calculate the correlation coefficient r by letting row 1 as x values and row 2 as y values. ...

Q: Use false position method to solve for a root of f (2) = x-873-352+450r - 1001 on (4.5, 6). Do %3D t...

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Q: Initially a tank contains 10 lb of salt dissolved in 100 gal of water. Assume that brine containing ...

A: Given that Initially a tank contains 10 lb of salt dissolved in 100 gal of water. Let x(t) be the am...

Q: Find the Inverse Laplace Transform of the given function. Show your solution completely and box your...

A: Inverse Laplace transform of the function