1/(1 + 2x)* = 1 – 8x

Q: Suppose a person wants to travel D miles at a constant speed of (10+x) mi/hr, where x could be…

A: Introduction: A linear approximation is a mathematical term that refers to the use of a linear…

Q: The volume VV of a right‑circular cylinder is computed using the values d=3.6 m for the diameter and…

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Q: The equation dx/dt = kx is both separable .4 and linear اخترأحد الخيارات

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Q: Let y = 5x? + 5a + 3. If Aæ = 0.3 at x = 4, use linear approximation to estimate Ay Ay = > Next…

A: Explanation of the answer is as follows

Q: Find the integrating factor for the First order leaner DE- x² ay +4xy=2x³e¬*? dx e 2x2 e 4x or

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Q: Verify the given linear approximation at a = 0. Then determine the values of x for which the linear…

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Q: Let y = sin(3x). If Ax = 0.4 at x = 0, use linear approximation to estimate Ay Ay ~ = 1.2 Find the…

A: Use the following formulae, to obtain the solution. ∆y=fx+∆x-fxdy=f'xdxError…

Q: Compute the following derivative. d (i + 2j - 2tk) • (e'i+2 e'j- 4 e -'k)] dt (i+2j- 2tk) • (e'i+2…

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Q: The position of a particle moving along the x - axis at time t is given by x(t) = e©os2t, 0stsn. For…

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Q: Use the RK4 method with h = 0.1 to obtain a four-decimal approximation to the indicated value. y' =…

A: To solve the given differential equation by Runge kutta Method of order 4 first we fill find the…

Q: Given f(z) = | t2 – 16 dt 1+ cos²(t) OS At what value of a does the local max of f(x) occur?

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Q: Solve the initial-value problem for a as a function of t . dx (t² – 6t + 5). = 1, (t > 5, x(8) = 0)…

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Q: 1 use the formula L = dt to find the length of the curve dt dt 1 X = y = t° for 0st s1

A: according to the guideline, we are allowed to answer the only the first question  please repost…

Q: 5x? + 8x + 3. If Aæ 0.3 at x = 5, use linear approximation to estimate Ay Let y Ay =

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Q: Verify the given linear approximation at a = 0. Then determine the values of x for which the linear…

A: To estimate the range of x-values for which the approximation has error less than 0.1

Q: Let y = 5x² + 8x + 4. If Ax = 0.4 at x = 2, use linear approximation to estimate Ay Ay a

A: By linear approximation we can write,       ∆y ≈ dy = f'(x) dx Also We have,          ∆y =…

Q: The student should estimate the equation 0.24 0.24 + tan [0.247 + 2(0.27)n] π 1 1 =-+-tan(Tx + 2ny)…

A: Given function: gx,y=xπ+xπtanπx+2πy Point: 14, 14 To estimate: 0.24π+0.24πtan0.24π+20.27π Formulas…

Q: Let y = 3x + 3x + 2. If Aa = 0.4 at x = 1, use linear approximation to estimate Ay | Ay a

A: We have to find the change in y using linear approximation

Q: suppose that we only know that g(1) = −4 and g′(x) = √(x^2 + 3). Calculate the linear approximation…

A: NOTE: Refresh your page if you can't see any equations. . take x=1 . and the given point is

Q: Find the linear approximation to R(t) = Vt: %3D at t=32. Use the linear approximation to approximate…

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Q: Determine the linear approximation for 2√x at x = 5. Use the linear approximation to approximate the…

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Q: Use the RK4 method with h = 0.1 to obtain a four-decimal approximation to the indicated value.…

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Q: Use the technique of variation of parameters to find a particular solution to the DE y" – 2y + y =…

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Q: 1 The linear approximation at = 0 to is V2 – x A + Bx where A is: and where B is:

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Q: Y = 3x + 4x + 4. If Ax = 0.4 at x = 1, use linear approximation to estimate Ay Let Ay =

A: Given that                  y=3x2+4x+4    ...................(1)  and,    ∆x=0.4 Now derivative (1)…

Q: 41. In each part, confirm that the stated formula is the local linear approximation at (0, 0). 2x +…

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Q: = Let y 2x2 linear approximation + 7x + 4. If Ax = 0.1 at x = to estimate Ay 2, use

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Q: Use the RK4 method with h = 0.1 to obtain a four-decimal approximation to the indicated value. y' =…

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Q: Use the RK4 method with h = 0.1 to obtain a four-decimal approximation of the indicated value. y' =…

A: We have first order differential equation and to slove this use Runge kutta 4 order method. Given…

Q: Find the value of dr / dt at t = 0 if r = (θ2 + 7)1/3 and θ2t + θ = 1.

A: Consider the provided equation, r=θ2+713 and θ2t+θ=1 Find the value of drdt at t=0. Apply the chain…

Q: Verify the given linear approximation at a = 0. Then determine the values of x for which the linear…

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Q: Suppose that n # 0 and n # 1. Show that the sub- stitution v = y!-" transforms the Bernoulli…

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Q: Verify the given linear approximation at a = 0. Then determine the values of x for which the linear…

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Q: The approximation of x'e"dx by Gaussian Quadrature with n=2 is (Use c21 = C22 =1 and r21= r22

A: Given :                 I = ∫01xeexdx

Q: Find the initial velocity such that the particle will have the same position at t-4s a. and t- Os.…

A: Follow the procedure given.

Q: Let y = sin(4x). If Ax 0.4 at z 0, use linear approximation to estimate Ay Ay 2 - Find the…

A: Solution :-

Q: Find a general solution to the given Cauchy-Euler equation for t> 0. dy +31- 63y 0 dt dr?

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Q: Calculate the third approximation values ​​of the nonlinear equation reading given below with the…

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Q: Use a local linear approximation to estimate the following y-values 1. f(3.1) 2. f(-0.1) 3. f(1.2)

A: The linear approximation formula is: L(x)=f(a)+f'(a)(x-a)   For f(3.1), x=3.1 and a=3 So the linear…

Q: E. Find the orthogonal trajectories to the curve y = ax²- acx (s held fixed. %3D where a

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Q: Solve the initial-value problem for a as a function of t . dx (t2 – 11t + 24) = 1, (t > 8, x(9) = 0)…

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Q: 4x 28. If R = and errors in x, y, z be 0-001. Show that the maximum relative error at x = y = z = 1…

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Q: Use a graphing calculator or computer to verify the given linear approximation at a = 0. Then…

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Q: Find the general and particular solution of dr -4rt, when t = 0, r = ro dt

A: Given:- dr/dt = -4rt  To find:- Particular solution of given differential equation

Q: Let y = sin(5r). If Ar = 0.1 at a = 0, use linear approximation to estimate Ay Ay = 0.0087 Find the…

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Q: Let y 5x? + 4x + 3. If Ar 0.1 at I = 5, use linear approximation to estimate Ay

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Q: Find the value(s) of @ for which y = cos ot satisfies d'y + 16y = 0. di? Enter your answers in…

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Q: 9. Find the orthogonal trajectories to the following families of curves: x = ke¯v, where k is a…

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Q: Let y = sin(5z). If Ar = 0.1 at a = 0, use linear approximation to estimate Ay Ay =0.0087 Find the…

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Q: Solve the linear ODE using an Integrating Factor. dy dx - 3y = 8e5x

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