(t) = 2t° + 3t – 5 ,The instantaneous velocity for s(t) %3D ес c) 55 m/sec d) 58 m/sec

Q: The velocity function (in meters per second) is given for a particle moving along a line. v(t) = 3t…

A:

Q: xp %3D 0. dy %3D 18 + 9t2 dt xp for y = Find ||

A:

Q: dy Given y = In(tan 0), find 0 such that 4, where 0< 0 <T 2

A:

Q: I=Jx Incx) dx, where b is a constant with %3D bフ)

A: Intregation of product of two variables is given below

Q: dy Differentiate parametrically to find dx in terms of t: x = 4t?,y= 2t3

A:

Q: dy Find - for y = du dy du = = [19+ √9 +10t2 dt. 0

A: given y=∫0u9+10t2dtTo find: dydu

Q: Suppose that a particle moves along a straight line with velocity defined by v(t) = t2− 3t − 18,…

A:

Q: A) The position of a particle P(x,y) at time t is given by: x= (2t +3) , y =+t.Find the distance it…

A:

Q: Q/ find the dy when y = (x+z)= リ=(メ+2)mx, %3D 2x Qul Fird dy すく e y= ノ

A: Answer

Q: a) What is the particle's position at time 2? b) What is the particle’s displacement from t= 1 to…

A: (a) The function representing the position is  X(t)=t3-15t2+48t. To find the position of the…

Q: dy If x = t - t3 and y = t2 - t, the value of at t = 2 is %3D %3D dx

A:

Q: Can you please solve these two sub problems and show all of the steps and say the correct letter

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: dg at t = 2 dt Given g (x, y) = x² + In (xy?}vhere a = t'and y = t³ Find

A: I am attaching image so that you understand each and every step.

Q: Given a particle is moving in a curve r(t) = cos 8t i + sin 8t j+ 8t k. Find the tangential…

A: The given curve is r(t)=cos 8t i + sin 8t j + 8t k

Q: Two particles have positions at a time t given by the equations x1=t3-t and x2=6t2-t3 find the…

A: If x(t) represents position at time t then velocity = v(t) = dx/dt and acceleration = a(t) = dv/dt =…

Q: Suppose that a particle moves along a straight line with velocity v(t)=4−2t, where 0≤t≤2 (in meters…

A: Given, Velocity of the particle = v(t) = 4 - 2t  We have to find the displacement at time t = 2 So,…

Q: Use the graph of position, h(t), shown to estimate the velocity, v(t), at t = 1s. Time (sec) in (w)…

A:

Q: b) Use the velocity function v(t) = 2e" to compute the distance traveled by an object over the time…

A: The detailed solution is given below  Thank you

Q: Find the displacement of an object over the time interval, [T/4, T/2], given the velocity function,…

A:

Q: (c) Prove that L{Cost Si(t)- Sint Ci(t)} Logs s +1 %D

A: The complete solution is in given below

Q: calculate dy/dx at the point indicated. c(t) = (et − 1, sin t), t = 20

A:

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

A: Given:

Q: If position is given by p(t) = t² – 1, what is the velocity, v(t), at t = 1. |meters per second

A: The position is pt=t2-1   Known fact: It is known that the velocity of an object is the rate of…

Q: The radius r and height h of a right circular cone arerelated to the cone’s volume V by the equation…

A: We have given thatthe radius r and height h of a right circular cone are related to the cone’s…

Q: On what interval is the curve y = 0, v- [ t2 dt t2 +t + 2 concave downward?

A: NOTE: Refresh your page if you can't see any equations. . to find the inflection point, first, we…

Q: b) Find fo dy for y = Vt-1 t = sec?x sint

A:

Q: The forward motion of a SpaceX Dragon, t seconds after touchdown, is described by s(t) = 198t – ti,…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: A particle moves on a vertical line so that its coordinate at time t is y = t³ – 12t + 3,t > 0,…

A: Speeding up and slowing down is depend on the acceleration of particles so first find the…

Q: At time t sec, the positions of two particles on a coordinate line are s1 = 3t3 - 12t2 + 18t + 5 m…

A: To find velocity we have to differentiate the distance s with respect to t.

Q: dy If x = t – sin t and y =1- cost, then find at t = %3D dx a. -2 b. 0 С. 1 d. 2

A:

Q: Find the direction in which the function g(x, y) = cos(xy) decreases fastest at the point (1, pi)

A:

Q: Compute xe" dx + x?y dy along the curve x 3t, y = t2, 0 < t < 1.

A:

Q: Suppose that a particle moves along a straight line with velocity defined by v(t) = t 2 – 3t – 18,…

A: Given,           Suppose that a particle moves along a straight line with velocity defined by…

Q: At the point (a, b) the curve T =t-4t, y=t2 +2t, t eR has a vertical tangent line. What is the sum a…

A:

Q: dy Given that y = find . dz'

A:

Q: f x = sec(z) and y = tan(z) , then dy at z = dx 4

A: We can use the chain rule of derivative in order to solve the given problem.

Q: 3e2º sec 20 dy determine de Given y = V(0-2)

A:

Q: Suppose velocity of a car starting from rest is modelled by equation V(t)= In(4t^3 + 1) m/s What…

A:

Q: An element is moving along a straight line so that v ft/sec is the velocity of the particle at t…

A:

Q: Given a particle is moving in a curve r(t) = cos  7t i + sin 7t j +  8t k. Find the tangential…

A: Given a particle is moving in a curve, r(t) = cos  7t i + sin 7t j +  8t k. To Find the tangential…

Q: (a) What is the particle's position at t = 0? (b) What is the particle's position at t = 3? (c) What…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: ds where t+s = 2s . dt Find %3D 6.

A: t+s=2s

Q: What is the interpretation of Vx'(t)2 + y'(t)² for a particle following the trajectory (x(t), y(t))?

A: The particle is following the trajectory (x(t), y(t)). Velocity across x axis = Vx = Rate of change…

Q: Pls help ASAP

A: SOLUTION-

Q: If position is given by p(t)=-t^2+5t what is the velocity v(t) at t=2?

A: The position is p(t)=-t2+5t

Q: dx x() = | y(6)=@ -3x+44=0 at 10 Solve for XG) Laplace tur (5)

A: Given dxdt-3x+4y=0 ,x0=1,y0=0

Q: The velocity (in feet per second)of a partice moving along a line is v(t) = t – 10t² +29t – 20 -…

A:

Q: Let v(t) = -14t + t² be the velocity, in ft/sec, of an object at time t, in %3D seconds. a) What is…

A: Solution is given below:

Q: Integrate to find the length of the curve. 8 S = 2 - + 4t dt 4 + 8 2t ++) dt = (? +t ln(t) 1 II

A: