Suppose that a particle moves along a straight line with velocity - cos(t/2), sin(t/3), te [0, T], t e (T, 37], v(t) = in meters/second. What is the total distance traveled fromt = 0 up to t = 3T seconds ? (You only need to input Type your answer...

Q: Let y tan(4x + 4). Find the differential dy when x = 1 and da 0.4 Find the differential dy when a =…

A:

Q: The linear approximation at x = 0 to sin(2x) is A + Bx where A is: Preview and where B is: Preview

A:

Q: A particle moves on a straight line with velocity function v(t) = sin ωt cos2ωt. Find its position…

A:

Q: Suppose that y = 4 cos² t , x = v3 sin(2t) and 0 < t<a. Then dt2

A:

Q: We are given the function f(x,y)=sin(3x+2πy)+exy-π, and points A(π, 1), B(π + 1, 0). Find the rate…

A: Given function is, fx,y=sin3x+2πy+exy-π. To find the rate of change of f at A(π,1) along the…

Q: The linear approximation at æ = 0 to sin(2z) is A + Bx where A is:| Previev and where B is: |…

A:

Q: Find the total differential dw. 1 5. w = x tan¬' y – 2ªyz -

A: Solved below

Q: Another particle has a velocity function of v(t) = [' 2'-* dx. What is the acceleration of this…

A:

Q: (2-4t) sin(팔) V17- cos(27t) 1. Given f(x) = dt, find the equation of the line tangent to the graph…

A:

Q: Let y = tan(5x + 4). Find the differential dy when x = 5 and dæ = 0.4 Find the differential dy when…

A:

Q: 2. Find the equation of the tangent plane and the normal line at the point (0 ,1 , 2) on the surface…

A:

Q: 4) a²y=+52y =14 yat (2,1) Find equátion of tangent?

A: Equation of tangent  y-y1=m(x-x1) (x1,y1)are the points at which equation of tangent is to be…

Q: Given a particle is moving in a curve r(t) = cos  6t i + sin 6t j +  10t k. Find the tangential…

A: I have appended the formula used in the solution part

Q: The velocity of a particle moving back and forth on a line isy = ds/dt = 6 sin 2t m/sec for all t.…

A:

Q: - Sva cos 2t dt from x= 0 to x= Find the length of the curve y =

A:

Q: Let y tan(5x + 8). Find the differential dy when I = 5 and dr 0.1 Find the differential dy when I 5…

A: y=tan(5x+8)Differentiate on both sidesdy=sec2(5x+8)×5×dxSubstitute x=5  , dx=0.1…

Q: A particle moves along the x-axis with velocity given by v(t) = 67 sin (at) for time t> 0. If the…

A:

Q: The linear approximation at x = 0 to sin(3x) is A + Bx where A is: Preview and where B is: Preview

A: Given function:

Q: A particle was following the trajectory r(t) = (e', sin (2t), t), but it starts flying tangentially…

A: SolutionGivenA particle was following the trajectory r(t)= (et,sin(2t),t) , but it starts flying…

Q: w =sec (xyz) - Yx +y+z

A:

Q: A particle moves on a straight line with velocity function  v(t) = sin(ωt) cos2(ωt).  Find its…

A: The given velocity function is,

Q: Suppose that a particle following the given path c(t) flies off on a tangent at t = to. Compute the…

A: Consider the path of the particle           c(t) = (2t2, t3-4t, 0) The velocity of vector is…

Q: Find the equation of the line tangent to the cardioid r = 1+ sin(0) at Ô0 =

A: Given that,, Here, differentiate w.r.t. ,we get, We know that, To find: equation of the line…

Q: The linear approximation at x 0 to f(x) = sin(6x) is:

A:

Q: A particle moves along the x-axis with velocity given by v(t) = 5 sin (t) for time t> 0. If the…

A:

Q: Let y = tan(3x + 6). Find the differential dy when x = 2 and dæ 0.2 Find the differential dy when x…

A:

Q: The linear approximation at a = O to sin(7x) is A + Bx where A is: and where B is:

A:

Q: Ex. 2. Prove thät if two equal and perfectly elastic balls moving in the same direction collide…

A:

Q: Q:: If In /x2 + y? =sec(), use implicit differential to proof the following: - dy -x-(x2+y²). sec.…

A: Please see the explanation below..

Q: 2. Find the length of the curve: y = 2 In (sin (x)):sxS*

A:

Q: Find the length of the curve y = V cos 2t dt from x= 0 to x = 4

A:

Q: Let y = tan(2x +5). Find the differential dy when x 3 and dr = 0.1 Find the differential dy when z =…

A: Given that y=tan(2x+5) find the differential dy when x=3 and dx=0.1 find the differential dy when…

Q: Let y = tan(4x + 4). Find the differential dy when x = 5 and dx 0.4 %3D Find the differential dy…

A: Given : The function y = tan(4x + 4)   To find : Differential dy when, 1. x = 5, dx = 0.4 2. x =…

Q: Assume that x and y are both differentiable functions of t and are related to the equation: y =…

A:

Q: (3) Let 4 = x²y² + x sin y, find 2 dy in terms of x and y; dx (4) Find the equation of the tangent…

A: For the given problem, there are two questions. But according to rules of Bartleby only the first…

Q: Let y = tan (2x + 6). Find the differential dy when x = 4 and dx = 0.2 Find the differential dy when…

A:

Q: Let y = tan(5x + 5). Find the differential dy when a = 2 and dx 0.3 Find the differential dy when x…

A: Given, y= tan(5x+5) Therefore, dy/dx = sec²(5x+5) .d(5x+5)/dx dy/dx = sec²(5x+5)*5 dy= 5sec²(5x+5)dx

Q: Find the equation of the tangent line to the graph of F(r)= 2z²+2r+1 evi dy at r 0. sech z

A:

Q: If a = 5+ti and y = 3t - t then dy at t = 1 dz is :

A: as per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: The linear approximation at x = 0 to sin (7x) is A + Bx where A is: and where B is:

A:

Q: The linear approximation at x = 0 to sin(6x) is A + Bx where A is: Preview and where B is: Preview

A: First of all, consider the formula to find the linear approximation at any point a for function any…

Q: A particle moves along the x-axis with acceleration given by 5T sin (at) for time t > 0. If the…

A:

Q: Determine the equation of the tangent line to the graph of g(x) = Sm, [1 – sin(ne')]dt at %3D In x…

A: We have to find the equation of the tangent line to the graph of gx=∫lnx01-sinπetdt at the point…

Q: Find an equation of the tangent llne to the về at the given poln 6x y = (x + 1)2' (0, 0)

A:

Q: Let y = tan(4æ + 5). Find the differential dy when a = 5 and da 0.2 %3D %3D

A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…

Q: Show that a particle, located at the origin at t = 1 and moving along the x-axis with velocity v(t)…

A:

Q: 2. If the acceleration function of a certain particle is given by a(t) = sech () tanh (;) – ež, find…

A: If the acceleration of the function is a(t) then the velocity of the particle is obtained as…

Q: The linear approximation at x = 0 to sin(7x) is A + Bx where A is: and where B is:

A:

Q: Let y = tan(3x + 8). Find the differential dy when x = 3 and dæ = 0.1 Find the differential dy when…

A:

Q: 2. If the acceleration function of a certain particle is given by a(t) = sech () tanh () – ež, find…

A: The differentiation of velocity with respect to time is known as acceleration.