Consider the differential equation dx +2=+x=0 di di? with the initial conditions x(0)=0 and x(0)=1. The solution x(t) attains its maximum value when 't' is %3D

Q: dv -vW, dw vw – kw +

A: On solving LHS and RHS separately: LHS: RHS: Thus LHS and RHS are equal only if I=1/at

Q: T-ODE T"=-w²T |X-ODE| X" = − ² X = −k² X The solutions are X (x) T(t) = = Acoskæ +B sink C coswt + D…

A: We have given two linear differential equation with constant coefficient we can solve them as…

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A: a)The ratio of the areas, A2/A1

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A: Answer:-          (a)                    It is a symmetric error.

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A: The above problem can be solved in two different ways. The first method using the two-point formula…

Q: and calculate V, E. with respect to v-axis

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Q: In AABC, the measure of ZC%3D90°, the measure of ZA=47°, and BC 3.5 feet. Find the length of AB to…

A: Solution:   From the above-given triangle:

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A: Here, v1=2.20 m/sv2=4.32 m/sv3=8.09 m/s

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A: The nucleus of the atom consists of a positively charged proton and neutral charge neutrons. These…

Q: C L You are tasked with specifying the following structure. It is a cylinder attached to a sphere at…

A: The objective of the question is to find the total volume of a structure that consists of a cylinder…

Q: ' Find the relative error in Z, if Z and CD 3/2 4%, 2%, 3% and 1%, respectively.

A: Given relation : Z = A4 B1/3C D3/2Percentage error in A = 4% Percentage error in B = 2% Percentage…

Q: (a) L² (3x². 2 (3x² - 2x - 1) 8 (x - 3)dx (b) *(cos x) 8(x − n)dx 5 (c)( (cos x)8(x - 2π)dx

A: I have use the concept property of dirac delta function

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A: Given  F(L) = log(L) ∆L = ±0.0005m  So ∆f(L) = ??

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A: Given: Amount function,  h(x)=103 Saving function, sx=1.03x-1 To find: Total amount of money in bank…

Q: A function f is defined by f = 4.2 x/y² where x = 2.40 ± 0.01 and y = 1.10 ± 0.04 Calculate the…

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Q: Q.11. The radius of a sphere is measured to be (2.1± 0.5) cm. Calculate its surface area with error…

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Q: P = 25 uc/m³ is distributed uniformly through a certain region. If V = 50 at y = 2 and V=< 90 at y =…

A: Given the volume charge density  = 25 micro.C/m3Voltage, V = 50  at y = 2V = 90 at y=5 ɛr= 2

Q: Problem 1: (a) Ã= 3â – 2ŷ, B = 4ây – 5ŷ. Ã · B =? Answer: 22 (b) Ã = -2ô + 4, B = 3â – lŷ. Ả.B =?…

A: Problem 1: (a). Given data A→=3x^-2y^B→=4x^-5y^ Thus, A→·B→=3x^-2y^·4x^-5y^=12+10=22 Thus, A→·B→ is…

Q: 1. Derive the following expression from the definition of x and e 1(dp) K = T II

A: Isothermal compressibility is defined as κ=-1V∂V∂PT  ......................... (1) The density is…

Q: Consider the bivariate dataset for variable Minnesota, (X) and variable Rhode Island, (Y) given by…

A: Please see the answer below.

Q: Q.11. The radius of a sphere is measured to be (2.1± 0.5) cm. Calculate its surface area with error…

A: radius = 2.1 ± 0.5 cm Area of sphere = 4 π r2 4 x 3.14 x (2.1)2 area=55.4 cm 2 Calculating the error…

Q: Problem 2: The figure shows a cubical volume of a material with a non-uniform density. The density…

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Q: In physics labs, explain why we insist on getting our final results from the slope of a graph,…

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Q: A function fis given by f = 130²2 2.0 where y(8.85± 0.05) and x = (5.11± 0.03) What is the absolute…

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Q: Solve M„VN at (1,1-1) When M = (2yz)i – (x²y)j+(xz²)k and N = 2x?yz3

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Q: dx Given that the integral y²+x² a b с d I 4y Л 8y I 2y³ I == 2y the value of dx (y² + x²)² is

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Q: A uniform density sheet of metal is cut into the shape of an isosceles triangle, which is oriented…

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A:

Q: Q.11. The radius of a sphere is measured to be (2.1± 0.5) cm. Calculate its surface area with error…

A: Given data, Radius of sphere, r=2.1±0.5 cm

Q: Given the following integral SV2-25 ox Determine the Trigonometric Substitution formulas that need…

A: The given integral is: I=∫x2-25dx Trigonometric relation used is: tan2x+sec2y=1 The given integral…

Q: What is the value of the following integral? 100/2 pz/2 I = xô(2 sin x– 2)dx |

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Q: If actual value of f(x1)=0,56 and the approximate value of f(x1)=0,6, calculate the relative error?

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Q: T The total surface area, A, of the cylinder can be expressed as A = x+-. (a) Find the value of k.…

A: