The velocity of a particle is v(t) = sin(t) – cos(t). If the initial position s(0) = 0, then find - the position function s(t). Type your answer in the box below.

Q: Find the equation of the tangent line to the curve y = 5x cos T at the point (T, – 57). The equation…

A: Please refer the attached image for complete solution. THANK YOU.

Q: T For y = 5 cos ( 4x 3 - its amplitude is its period is its horizontal shift is

A: Given  y= 5cos(4x-π/3)  We have to find its  1) Amplitude 2) Period  3) horizontal shift

Q: 1. If an object moves with velocity v(t) = sin(t) + 3t and begins at position p(0) = 0, find the…

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Q: find an equation for the line tangent to the curve at the point defined by the given value of t.…

A: To find: The equation of tangent to the curve and also find d2ydx2. Given: The functions are x=cos…

Q: Solve the tollowing D.E Y+49= cos X sinx %3D

A: The given equation is a second order linear, non-homogeneous differential equation with constant…

Q: Find the solution of the equation = e cos y dy? which tends to zero as x → 00 and has the value cos…

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Q: Find the value of the constant A so that y = A sin 7t satisfies the equation + 2y = 4 sin 7t. dt2…

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Q: Q3- Find i) S sin3x.cos(-5x)dx

A: We have to evaluate the following integral: int sin 3x . cos (-5x) dx

Q: T/2 Evaluate I = | sin x dx using Euler-Maclaurin’s formula.

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Q: A car drives down a road in such a way that its velocity (in m/sec) at time t (in sec) is v(t) =…

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Q: Find an equation for the line tangent to the curve at the point defined by the given value of t 15)…

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Q: find an equation for the line tangent to the curve at the point defined by the given value of t.…

A: We have given parametric equation x=4sint, y=2cost  We have to find the tangent line of the given…

Q: Find the solution of the equation =e* cos y d ig %3D dy? which tends to zero as x 0o and has the…

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Q: The change in heat radiated by a body, detected by a pyrometer (non-contact temperature sensor), is…

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Q: 1. If the velocity of a particle is given as h(t) seconds, what is the displacement of the particle…

A: Hello. Since your question has multiple parts, we will solve the first part for you. If you want…

Q: Let the velocity of a particle be given by v(t) = –sin(t). What is the displacement of the particle…

A: We need to find displacement and total distance.

Q: A particle is moving in such a way that its velocity v is given by the equation v(t) = cost + sin t.…

A: Given : vt = cost + sint

Q: The position of a boat at time t is given by p(t) = 9tsin(t) + 9 cos(t) km, for 0 ≤ t ≤ 10. Find the…

A: we have given that  p(t)=9tsin(t)+9cos(t) kmp(t)=9tsin(t)+cos(t)km    for  0 ≤ t ≤ 10   We have to…

Q: Find the solution of the equation cos y dy? which tends to zero as i → 0o and has the value cos y…

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Q: 2as L{t sin(at)} = %3D (s²+a²)²

A: We can derive it using the definition of Laplace transform or by using some identify or formula.

Q: (c) Show that the function z -- eX sin yt ey cos

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Q: Find the equation of the tangent line to the curve y = 4 sin x + 2 cos a at the point (0, 1/2). The…

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Q: f (t) = e3t sin(3t) – ťe*.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: find an equation for the line tangent to the curve atthe point defined by the given value of t.…

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Q: The position of an object attached to a spring is given by (t) 3 cos(4t) – ¿sin(4t). where t is time…

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Q: Find the solution of the equation cos y dy? which tends to zero as x → 0o and has the value cos y…

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Q: Find dy and evaluate when x = T and dx 0.5 for the function y -10 cos (5x)

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Q: The equation of motion of a body performing damped force vibration, Is given by t 5dx +6x = Cos t,…

A: Given DE is d2xdt2+5 dxdt+6x=cost also given conditions are x(0)=0.1 and x'0=0 solve the equation

Q: find an equation for the line tangent to the curve atthe point defined by the given value of t.…

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Q: find an equation for the line tangent to the curve at the point defined by the given value of t.…

A: Tangent line for a curve at a point is a line which just touches it and is "parallel" to the curve…

Q: 4. Find dx a y=e, giving your answer as a function of y. b. y In(xvx -1), x>1 sinx-cosx C. y= giving…

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Q: Sot.e-3t. sin 2t . dt f(t)

A: Take the integral: integral e^(-3 t) t sin(2 t) dtFor the integrand e^(-3 t) t sin(2 t), integrate…

Q: Q3 Find dy/dx on the graph y sec/x+ y? = cos2x at point (1, 2).

A: We have to find dy/dx at (1,2).

Q: The displacement of a particle moving back and forth along a straight line is given by the following…

A: The displacement of a particle moving back and forth along a straight line is given by the following…

Q: y = sin(Ax + B)

A: We will find the Differential equation as following.

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: take derivative take

Q: The velocity of a particle moving along the x-axis is given by: v(t) = 1 cos(nt), t>0

A: Use the defination of velocity than solve the differential equation by separation of variables.

Q: Find the value of -4t e cos(4t) dt.

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Q: If y3 + y = 2 cos x, find the value of d2y/dx2 at the point (0, 1).

A: given, y3+y=2cos xwe have to findd2ydx2 at point (0,1)

Q: find an equation for the line tangent to the curve atthe point defined by the given value of t.…

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Q: A particle is moving along a line so that at any timet, where 0 st sn, the position of the particle…

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: 1.   2. slope of tangent is dy/dx.

Q: Let y = tan(2a + 8). . Find the differential dy when a = 5 and da = 0.2 34.47 Preview Find the…

A: To find the following a). The differential (d y) when x = 5 and (d x) = 0.2. b). The differential (d…

Q: Find the equation of the tangent line to the curve 1 y = 3 sin z + 4 cos a at the point (0, 1/4).…

A: Given:     y = 1 / ( 3 sinx + 4 cosx ) Point: ( 0 , 1/4 )

Q: find an equation for the line tangent to the curve atthe point defined by the given value of t.…

A: Given, To get the equation of the tangent line, finding slope is the first step. Here both x and y…

Q: The function f(z) = e-y sin x is harmonic function

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Q: 1. If an object moves with velocity v(t) = sin(t) + 3t and begins at position p(0) = 0, find the…

A: integration of velocity funct

Q: find an equation for the line tangent to the curve atthe point defined by the given value of t.…

A: We need to find an equation for the tangent line to the curve at a given point of t. Also, we need…

Q: COS T dx sin' a

A: given that a integration we solve by using integration method . Here i attached solution of this…