V = [3x-y, x² -ky²] In the force field defined by the vector, a particle moves from point A(-2,-1) to point B(0,1) along the x-y-y² parabola. What should the k parameter be so that the work done is 3 work units?

Q: 2 4 Let y = D-0 3. -1 -3 Find the best approximation to y in W. Computation: 20 and ₂ = 5 -2 4 2 -…

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Q: x" -2x +x= 15; x (0) = 7, x (0) = -16 hand written plz

A: Given equation is x''-2x'+x=15   Also given x(0)=7,   x'(0)=-16   To Solve: x(t)

Q: 3. Determine the vector equation for the line with symmetric equations X-3.922.231.

A: Compare the given equation with x-x1a=y-y1b=z-z1c so, we get the values x1=3y1=-2z1=1a=4b=5c=3

Q: Q2. Find the value of (v1' and v2') for the both given D.E's if we use the variation of parameters…

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Q: Using the Laplace transform, solve the IVP. y₁ = 5y1 - 4y2 - 9t² + 2t, y2 = 10y₁ - 7y2 - 17t² - 2t,…

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Q: 1. Suppose that the point A(4, 2) lies on the curve g(x)=√x and that B is another point on that…

A: We will use given function to find all values . Note : Maximum 3 subpart are allowed to be solved at…

Q: cose -SH sease rsino drdo

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Q: Which of the following is not a plane? OF- (1,3,4) + s(2,-1,2) + (1,1,1), s,t e R OF-(2,4.2) + s(1,…

A: To Find: Which of the given equation is not of a plane.

Q: Let R be a ring. If the only ideals of R are {0} and R itself, then R is a field.

A: We know the definition of , ideals of ring R. A non empty subset I of R is said to be an ideal of R…

Q: x² - y² z = g(x, y) = x² + y² 0 for for (x, y) = (0,0) (x, y) = (0,0)

A: Given function is z=gx,y=x5−y5x4+y4 for x,y≠0,00            for x,y=0,0. We have to check whether…

Q: ū = (-2, -12, 4), ₺ = (3, -2, 1).

A: Here we use the vector addition formula.

Q: Determine minimal conditions on the real constant ? so that (0, 0) is a center for the linear system…

A: Consider the given linear system, x'=-μx+yy'=-x+μy we know that if x'=ax+by and y'=cx+dy then…

Q: (x, y) = (0, (x, y) = (0,

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Q: Let C₁, C₂, C events form a partition of the sample space Let A,B be events such that P(B nC)>0…

A:

Q: 3. List all of the permutations of S4. Find each of the following sets: a) {σ € S₁: 0(1) = 3} b) {0…

A: A permutation of S4 is a bijective map from 1,2,3,4 to 1,2,3,4.

Q: From 2005 to 2013, the median usual weekly earnings of full-time wage and salary workers were…

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Q: A) Find the values of x and y that satisfy the equation: In(3 + j4) +7+1²2= j(x − y) + (4x + j2)…

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Q: Solve the given initial-value problem. Give the largest interval I over which the solution is…

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Q: Show that the following functions are contin- uous but not differentiable: (a) z (b) |z² (c) Imz (d)…

A: Since you have posted a question with multiple sub-parts , we will solve first three subparts for…

Q: [1.43] Consider the problem: Minimize cx subject to Ax≥b, x ≥ 0. Suppose that a constraint, say…

A:

Q: The rank of the matrix a = b = c is: 1 a b a² 6² 1 1 C where

A: Given :          matrix =[111abca2b2c2]Also given :  a=b≠c

Q: EX- Find the area of the surface generated by rotating the 1 portion of the curve y= (x²+2)³ between…

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Q: 1-5π ficase rsino drde

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Q: Using Ralston's Method, calculate y(0.4) for the following: y = -5x¹y², y (0) = 1, h = 0.2 y = The…

A: Ralston's method is a 2nd order Runge-Kutta method that uses the formulas below to perform the…

Q: State the order of the given ordinary differential equation. d²y dx² = V1+ + (dx) ³ Determine…

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Q: (b) Solve for x if X 1 -1 0 1-2 1 2 -1 = 7.

A:

Q: let f be a function on [orl] defined by [0₁1] ifx €@n[0₁1] x F(x) = xif x= [0, 1] \Q - (Recall that…

A: We use results on Borel Measurable functions.

Q: Using the Laplace transform, solve the IVP. y₁ = 5y1 - 4y2 - 9t² + 2t, y2 = 10y₁1 - 7y2 - 17t² - 2t,…

A:

Q: dz dt where t is time and z is the number of zombies. b) Which of these is the phase-line diagram? 0…

A:

Q: A dead body was found within a closed room of a house where the temperature was a constant 65° F. At…

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Q: A ball at 1200K is allowed to cool down in air at an ambient temperature of 300K Assuming heat is…

A: Given differential equation dTdt=-4.00×10-12×T4-81×108  ………………1 Here f(t,T)=-4.00×10-12×T4-81×108…

Q: Elephant Company sells bags with a selling price of P10,000 per bag and a variable cost of P4,000…

A: According to our guidelines we have to answer first three subparts of a multiple subpart question.…

Q: x-2x +x= 15; x (0) = 7, x* (0) = -16

A:

Q: Compute each of the following. (2bdm from 5.4) a) (12) (1253) b) (1423) (34) (56)(1324) c) (12)-¹

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Q: 1.5h seases SIT prosesino drdo

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Q: A ball at 1200K is allowed to cool down in air at an ambient temperature of 300K Assuming heat is…

A:

Q: IT 1-5 prose rsino drdo

A: The given integral is                    ∫0π∫0cos θr sin θ dr dθ

Q: Determine by direct integration the centroid of the area shown in the figures. Express the answer in…

A: Use the following formula, to obtain the centroid of the area bounded by the curves y=fx and y=gx,…

Q: (1). 3xP(x)V 3xQ(x)VA, where A is a proposition not involving any quantifiers; (2). Vx(P(x)…

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Q: f(x) = 4x - 1.8x2+1.2x3-0.3x4

A: Here follow the complete python code.

Q: 13. Let T, O E L(V, W). Show that rk(T+0) ≤rk(T) +rk(o)

A: We are given that τ,σ∈L(V,W) We suppose, w∈Im(τ+σ)   ....(1) So, there exists some v∈V such that…

Q: 7. A particle of mass m moves under gravity in a medium whose resistance is Kitimes its velocity,…

A: The equation of the motion of the particle can be written as, ma=-mg-kv So, in the differential form…

Q: 대근도-근 근 (1

A: As you post multiple questions according to the guideline I only solve the first one.

Q: 4. Determine if the following lines intersect. If the lines do intersect, state the solution. If the…

A: The two lines intersect each other if there is a point that satisfies the both lines. If there…

Q: Solve the following system of linear equations: 3x1-3x2-3x3 = -3 -3x₁+6x₂ = 0 -x1-2x₂+4x3 = 5 If the…

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Q: 6. The ideal gas law describes the state of a hypothetical ideal gas, i.e., PV = nRT where P is the…

A: Given: The number of moles in the neon gas is n = 0.654 mole The universal gas constant R=8…

Q: Solve the differential equation dy t - y(0)=1 dt y by the Euler method with h=0.1 to get y(0.2).…

A: Given differential equation is dydt=ty,  y(0)=1 Let f(t,y)=ty Euler method for step size h=0.1…

Q: If g(x) = 1 - x and h(x) is: = 第二,then g(h(x)) h(g(x))

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Q: k ven Wk-r [cos (+2)+i sin(+2)]; k=0,1,2,3,...n-1 k) Find the cube roots of (1+i). Express Z= e in…

A: We find the cube root of (1+i).

Q: 4. Give the general equation of the plane containing the point (3,-1,4) and I 2-2 perpendicular to…

A: To find the general equation of plane :-

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.