The position of a moving particle is given by s = 5 + 9t- t on the interval 0

Q: The pressure of a fluid flowing through a closed system, P, after t seconds can be modeled by the…

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Q: FIND THE GIVEN DIFFERENTI Homogeneous Eguation ( 3x + 4y) dx - dy -0

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Q: Suppose f(0.25)=f(0.75)=b. If the Composite Trapezoidal rule with n=2 gives the value 4 for \int_0^1…

A: Introduction: The trapezoidal rule is a method to approximate a definite integral numerically. In…

Q: The position of the particle at time t is given by s(t) = t² – 6t + 8. The particle is moving from…

A: Option c is correct.

Q: Given Z = y'e-2a + 3y ; where x = In 2 and y = 2 with possible errors Ax = 0.01 and Ay = 0.03.…

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Q: M-2-Sin(X y) nd dm dt X = t. yclint Z=et-1

A: Differentiation

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Q: au a²U dt dx² Show that the local truncation error at the pint (ih,jh) of the Crank-Nikolson…

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Q: The position of the particle at time t is given by s(t) = t² – 12t + 35. - The particle is moving…

A: Velocity and position

Q: As water flows through a tube of radius R = 10 cm, the velocity v ofan individual water particle…

A: Given:  dv/dr = -0.06r, R = 10 cm To Find: v(r)

Q: FIND 2 DIFFERENT (LINEARLY INDE PENDENT) POR THE D.E. SOLUTIONS y"_x² y'- 3xy = o 2.

A: The linear homogeneous ordinary differential equation has the form pxy'' +qxy' +rxy=0. If the…

Q: Find r(t) that satisfies the initial condition(s).…

A: Given: r(0)=2i

Q: Solve dy / dx = 1 /( x^2 – 1) , for y(0) = 0. Find its maximal interval of existence %3D

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Q: When the radius r of a sphere increases with time t, the change in area dA is dt Оа. 4 3 O b. dr 8n…

A: We will find the change in area with time as following.

Q: The longest interval in which the 1.V.P y" +(tanx)y- xy = x, y(1) = 3, y'(1) =0 surlay has a…

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Q: Find the general solution for dø = z(z – z²)sec²Ø %3D | dz

A: the given differential equation is: dϕdz=zz-z2sec2ϕ we have to find the general solution of the…

Q: The velocity of a moving praticle in three space is given by : v(t) = - 3t i- 3t j-3t k , t>0 %3D…

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Q: The Debroglie wavelength of an electron * .with a velocity of 1.00x 10^6 m s-1 mass of electron is…

A: Debrogile wavelength:

Q: The position of the particle at time t is given by s(t) = t2 – 8t + 15. The particle is moving from…

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Q: The position of the particle at time t is given by s(t) = t- 12t + 35. The particle is moving from…

A: Given: st=t2-12t+35

Q: A) The position of a particle P(x, y) at time t is given by: (2t + 3)7 y +t . Find the distance it…

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Q: Use Picard's method of successive approximation to solve the equation de 1+ xy, y(0) 1 at 8.1 X-0.1.

A: Given differential equation is  dydx=1+xy, y(0) = 1 To approximate the solution at x = 0.1 using…

Q: 10. The sides of the rectangle at right increase in such a way that the instant when x = 4 and y =…

A: We need to find the value of dxdt, given that dzdt=1,dxdt=3dydt,x=4,y=3

Q: (2) A particle moves along the 1-aris such that the velocity is given by v(t) = 20e' +t for t > 0.…

A: Here, the velocity vector is: v(t)=20et+t7

Q: On what interval is the curve y = 0, v- [ t2 dt t2 +t + 2 concave downward?

A: NOTE: Refresh your page if you can't see any equations. . to find the inflection point, first, we…

Q: Find the solution of: d²y_5dy+3y=0 dx dx where the initial conditions are given as: y(0) = r(0)= 5

A: We will first find it's auxiliary equation then find the c.f. of the equation.

Q: Find an interval where the IVP dy (In t) + y = cot t dt y(2) = 3 has a unique solution.

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Q: Consider the following. dy dx ex — У, (0, 1) %3D y | || 5+\/|| -4 ///+1 | 4 I| |-3+ (a) Find the…

A: dydx=ex-y ,   0, 1 On simplification, we get dydx+y=ex Now comparing with dydx+Py=Q, we get P=1…

Q: Solve the IVP: 1 (tan y – 2)dr + (x sec? y + )dy = 0, y(0) = 1 %3D

A: The given ordinary differential equation is of the form:

Q: B) Find the distance traveled by the particle P (x.y) between t = 0 and t 4 if the position at time…

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Q: The two functions x(t) and y(t) satisfy the simultaneous equations dx/dt - 2y = -sin(t), dy/dt + 2x…

A: Given: dx/dt - 2y = -sin(t), dy/dt + 2x = 5cos(t)

Q: 1 Px1x2(w1, W2) = (1– j2w1)(1 – j2w2) | 13 The joint moment m20 is equal to

A: # joint moment m20=E(x1^2)=-8

Q: 2. In each exercise, obtain the particular of solution. a. xy dx + 2(x² + 2y²) dy = 0; when x = 0, y…

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Q: hich of the following is not variable separable? (А) 2ху dx + (х2 + 1) dy %3D0 A ye' dy - (e-y+…

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Q: The longest interval in which the 1.V.P y"+(tanx)y-xy = x, y(1) = 3, y'(1) =0 surlay has a solution…

A: Given differential equation is. y''+tanxy'-xy=x The initial condition as, y1=3,  y'1=0 On comparing…

Q: Using the approximation dy dy * Yn+1 - Y, and that dr 1, y = 2 dr h when r= 0. Then, y, = A h-2 h+2…

A: Use the approximation hdydxn≈yn+1-yn and that dydx=1, y=2 when x=0. Then y1=?

Q: 9. xy sin yz dV, where G is the rectangular box defined by the inequalities 0 <x< T, 0 < y< 1,0 < z…

A: Given information: The integral is ∬∫xysinyzdV and the region is bounded by the rectangular box…

Q: Find a positive value of k for which y=sin⁡(kt) satisfies d2y/dt2+16y=0.   k=

A: Double derivative

Q: The position of the particle at time t is given by s(t) = t2 - 6t + 8. %3D The particle is moving…

A: To find the value of t particle moves from left to right

Q: The longest interval in which the 1.V.P y"+(tanx)y- xy = x, y(1) = 3, y'(1) = 0 surlay has a…

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Q: · Use Euler's Method to solve the following problem over the interval from x = 0 to 1.0 using a step…

A: Given, f'x,y=dydx=2+3xyy0=1 Euler's method is given by, yn=yn-1+hfxn-1,yn-1

Q: The position of the particle at time tis given by s(t) =ť² –&t +15. The particle is moving from left…

A: Need to find t

Q: An object with an initial position of x(0) = 5 has a velocity of v(t) = sin 2t. %3D %3D What is its…

A: Given query is to find the position of the object at π.

Q: An object moves in one dimension with avelocity in m/s given by v(t) = 8 sin ∏t + 2t. Find its…

A: Given: The velocity of an object in m/s is given by  v(t)=8sinπt+2t Time interval is t=0 to t=10

Q: A root of x- 0.5e 2* 0, which is locate in the interval [0, 1] correct to three decimal places using…

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Q: 4 i /," x’dx using four subintervals. Calculate the trapezoid approximation of O T5 = 61.24 O T5 =…

A: Dear user, You need to find step height and using this you need to find endpoints of interval. Then…

Q: the given velocity v(t) = e2ti– sin tk and r(0) = (1,2,0) to find the position at time t = 1.

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Q: 1 S,x(1 – Vx)²dx а. 25 b. 30 1 с. 30 d. None of the above

A: We have to solve

Q: The longest interval in which the I.V.P y" + (tanx)y-xy x, y(1) = 3, y'(1) = 0 surlay has a solution…

A: Given,  y''+tanx y'-xy=x It is of the form,  y''+p(x) y'+q(x) y=g(x)