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Q: A particle is moving with the given data. Find the position of the particle. a(t) = 3 cost-2 sint,…

A:

Q: v(t) =. At time t = 0, the object is at position (4,7). Where is the particle when t = 2?

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Q: A particle moves along the x-axis with velocity v(t) = (6t 2 - t) mis.Find the particle's position…

A: Given: vt=(6t2-t)ms, s2=4m we know that for position function we have to integrate given velocity…

Q: 5) The position vector of a particle is given by s(t) = 2t2 – 4t + 1.Find the time at which the -…

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Q: Suppose that a particle follows the path r(t) = 2 sin(3t) i+4 cos(3t) j. Give an equation (in the…

A: Given that a particle follows a path       r(t) = 2cos(3t)i + 4cos(3t)j

Q: (5) (--) A particle is traveling with acceleration d(t) particle was at the origin, (0) =(0,0,0),…

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Q: 00 ди (0,t) 3 0%; ди ди (T, t) = 0; t> 0 at ax2 at дх и(х, 0) — seпх; 0 < x < T %3D

A: Given: The given heat transmission equation ∂u∂t=∂2u∂x2

Q: The position of a particle as it moves on the x-axis is given by I+3. x(t) = sin(t) +2 cos(t) + %3D…

A: Interval of t = 0,4π Now, the average velocity of the particle over the interval 0,4π is given by :…

Q: (1 point) A particle moves along an ss-axis, use the given information to find the position function…

A: a(t)= integration of v(t)C= integrating constantIntegrated using: integration of (t^n)=…

Q: give the acceleration a = d2s/dt2, initial velocity,and initial position of an object moving on a…

A: We know that velocity, y=dsdt and acceleration, a=dydt. We have given a=-4sin 2t. To find velocity y…

Q: along

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Q: Q1: A body move on the path has nonlinear equation y = (cos x)ªx – b and passes through the points…

A: Consider the provided question, A body move on the path has nonlinear equation y = (cosx)ax-b, And…

Q: A particle's position at time tis given by r(t)= (3t",4t+1,-t). Find a, att=3.

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Q: A particular moves along a straight line with equaiton of motion s =t 3t + 2. Find the value of t at…

A: Equation of motion of particle is The velocity of particle at any time t is rate of change of…

Q: Example 3 Find k (t) for the circular helix K x = a cost, y = a sint, z = ct where a > 0.

A: Curvature k(t) of the vector

Q: Q-2 Find the orthogonal trajectories of r = a sin? 0 where a be the arbitrary constant. [

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Q: pY (y | 0) = 0"(1 – 0)'-", y = 0 or 1, where 0 < 0 < 1 is a parameter. a) Find an estimator ÔMOM of…

A: In method of moments, the theoretical moments are equated with the sample moments in order to…

Q: A mass m is attached to both a spring (with given spring constant k) and a dashpot (with given…

A: Given that m=12c=5k=12 The differential equation of motion is…

Q: 2. A particle moves along the space curve r = et cos ti + et sin tj+e-k. Find the magnitude of the…

A: This question is based on chain rule differentiation. ddxfxgx=gxddxf(x) + f(x)ddxg(x)

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: 7. Find a +b+ cif o(x) = ae + be is a solution to the initial value problem: y" +y- 2y 0; y(0) 2, y…

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Q: 4. The position of a particle at time t is given by x(t) = 5+4 sin(t) y(t) = 2 − 4 cos(t) 0<t</ (a)…

A: This is a problem of parametric curve and Integration.

Q: (9) (a) In this question use a(t) = -32 feet / sec? as the acceleration due to gravity. S(1) =gt gt²…

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Q: A5) Find dy of the following funetions. [ dz (a) y = sec(3z) [ !3! (b)y sin3z + cos2z (c) y=…

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Q: The acceleration of a particle moving in space is given by a(t) = e'i – 2j + cos t k. Find the…

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Q: - A particle is moving along the x-axis with a velocity of v(t) 8 cos ( x=2 when t=0. Find the…

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Q: hIf the velocity of a particle at a time t iS 9lven by tle initlal value problem Find the partiche…

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Q: PART 2. For the attached slope field sketch the solution curves through the given points. A. (-1, 1)…

A: We are given a slope field of some differential equation. We need to draw solution curve through…

Q: b) Find the regular singular points of the Legender's equation (1–x³)y" – 2xy' + p(p+1)y= 0, where p…

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Q: A particle is moving with the given data. Find theposition of the particle.   v(t)  =Sint -Cost…

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Q: A particle moves along a line in such a way that its velocity at time t is u(t) = tP + 4t – 32…

A: Here we have to the distance and displacement for the given velocity and time function.

Q: A particle is moving with v (t) =t – 3vt. Find the position of the particle at time tif s (4) = 2.

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Q: The position of the particle at time t is given by s(t) – t- 16t + 63. The particle is moving from…

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Q: 3. If s(t) = 3f³ -1812+5, 0<1<3 gives the position of a moving particle, find the velocity and…

A: Here given position function s(t)= 3t3-18t2+5

Q: 5) The position vector of a particle is given by s(t) = 2t2 – 2t + 2.Find the time at - which the…

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Q: Consider the slope field shown. (a) For the solution that satisfies u(0) = 0. sketch the solution…

A: We draw the solution curve for the given initial conditions and we have:

Q: 3. A particular is moving with acceleration given by a(t) = 3 cos t - 2 sin t. Given that s(0) = 0…

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Q: A particle moves along a coordinate axis. Its position at time t is given by s(t) = t² - 5t + 1, t >…

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Q: Find the general equation of the orthogonal trajectories of the curves for the given equations. The…

A: The given equation of the curve is y=ccosxTo find general equation of the orthogonal trajectory

Q: (18) Consider a particle with position function 7 (t) = (t, t² – 3t, 2t²). (a) Find the velocity,…

A: If Position Vector is given as function of t then Velocity vector can be find out by differentiating…

Q: A particle is moving with the given data. Find the position of the particle. v(t) = sint- cost,…

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Q: A model for the velocity v at time t of a certain objoct faliling under the influence of gravity in…

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Q: A particle is moving with the given data. Find the position of the particle. 12. a(t) = 3 cost - 2…

A: 12) a(t)=3cost-2sint, v(0)=4, s(0)=0 13) a(t)=a, v(0)=v0, s(0)=s0.

Q: 2. A particle is moving with acceleration a(t) = x - 3 sin(x). Find the velocity and position…

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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: Q-2 Find the orthogonal trajectories of r= a sin e where a be the arbitrary constant.

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Q: 11) Given the velocity and initial position of a body moving along a coordinate line at time t, find…

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Q: A mass m is attached to both a spring (with given spring constant k) and a dashpot (with given…

A: Find the position function x(t) and determine whether the motion is overdamped Using differential…

Q: Using Runge-Kuta thod of order Four to approximate the solution for the following problem with step…

A: Given:- y'=y3cosx+y2ex, 0≤x≤3, y(0)=1

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.