Consider the following position function. Find (a) the velocity and the speed of the object and (b) the acceleration of the object. r(t) = (9 cos t,9 sin t) for 0st< 2n

Q: Find the velocity, acceleration, and speed of a particle with position function r(t) = (-1 cos t,…

A: we know that, d/dt(sint) = cost d/dt(cost) = -sint from this we will solve the question.

Q: 1 R(t) = 2 sin(t) – 4 cos(1)

A:

Q: Find the tangent to r(t) = (t +1, t², e') when t= 3.

A:

Q: Find an equation of the tangent line and normal line to the curve at the given point for the…

A:

Q: Find the position and velocity of an object moving along a straight line with the acceleration a(t)…

A: Given

Q: When d is in feet, t in second , find the velocity at t= 2 of the motion s = t^2 +3t

A: s=t2+3tVelocity of the particle isdsdt=2t+3On putting the value oft=2

Q: Let p(t) = sec(3t) represent the position of an object at time t, where 0 < t < 1/9. Find the…

A:

Q: Find the derivative of the trigonometric function. f(t) = cos t/t

A:

Q: Calculate the slope of the curve f(t) = 11 sin? (t) at the point where t = 3 radians. Slope : Round…

A:

Q: Find the directional derivative of Du" f (2,1) in the direction of: a = 3i + 4j To f(x, y) = InGes…

A: Gradient of a function :  Let f be a differentiable function at  x , y  and let f x , y  have…

Q: Find the velocity, acceleration, and speed of a particle with position function r(t) = (-2 cos t,…

A:

Q: Consider the following position function. Find (a) the velocity and the speed of the object and (b)…

A: Consider the given position function: rt=2sint,2cost (a) Velocity function is derivative of position…

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 equation of the tangent and normal to the following corce at the points indicated against…

A:

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

A:

Q: Consider the following position function. Find (a) the velocity and the speed of the object and (b)…

A:

Q: dy Find of the following functions. dr (a) y = sec(4r?) (b)y = sin4x + cos7x (c) y = cot (v4– 2²)

A:

Q: Consider the following position function. Find (a) the velocity and the speed of the object and (b)…

A:

Q: Consider the following position function. Find (a) the velocity and the speed of the object and (b)…

A: r(t) = 《6cos t, 6sin t》 t : 0 --&gt; 2pi (a) Velocity v(t) = 《x' , y'》 Speed |v(t)| = sqrt((x')2 +…

Q: Given the following velocity function of an object moving along a line, find the position function…

A: Given: vt=2cost, s0=0 we know that for finding position function we integrate given velocity…

Q: Consider the following position function. Find (a) the velocity and the speed of the object and (b)…

A:

Q: Find the derivative of the trigonometric function. f(t) = t2 sin t

A: Given: The trigonometric function  ft=t2sint, To find: Derivative of f.

Q: Find the derivative of the trigonometric function. f(t) = t° sin(t) f (t) = -1

A: Given query is to find the derivative of the expression.

Q: Q2/Find the length of the curve r = sine + cose between

A:

Q: Consider the following position function. Find (a) the velocity and the speed of the object and (b)…

A:

Q: Given the following acceleration function of an object moving along a line, find the position…

A:

Q: 140 W

A:

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

A: To find the slope of the tangent we need to find dy/dx Then find dy/dx at t=pi

Q: Find the length of the curve. x = cos t y = sint 0 <t< 2n

A:

Q: Consider the following position function. Find (a) the velocity and the spéed of the object and (b)…

A:

Q: For the cardioid r  =1+ sin0 of Example 7, find the slope of the tangent line when  0=pi/ 3

A: Then plug this in the slope of the tangent formula

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: Use the tangent equation. tollowing equation to find the approximation at Co,0): fCX.y)e Jy+ cos cx)…

A: The given function is: f(x,y)=y+cos2x

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: Consider the following position function. Find (a) the velocity and the speed of the object and (b)…

A: For velocity vector diffrenciate position vector w.r.t. Time and for acceleration vector…

Q: Given the following velocity function of an object moving along a line, find the position function…

A: Given the velocity function of an object moving along a line: vt=4t+sint        Given initial…

Q: 12. For an object whose velocity in ft/sec is given by v(t) = cos(t), what is its distance, in feet,…

A: Topic = Integration

Q: For the following parametric equation, find the slope of the tangent line at the indicated point.…

A:

Q: A point is moving along a curve that is given as: R() = (cos 31)i + (sin 31)j + (3r)k. Find: a) The…

A:

Q: Find the derivative of the following parametric equations. (a) x = t2 + 5t + 4, y = 4t (b) x = 0 –…

A:

Q: x = 6 sin t, y = t +t at t = 0.

A: Let's find.

Q: Find the first order derivative for the following: cot(e(3•Z)t) sin(z•t²) S = t5

A:

Q: dR Q5:-The velocity of a particle moving in space is particle position as a function of t, if R= 2i…

A:

Q: Find the F.T. of the fall wing Signals (functions): F(t)=1+cos(6nt+™)

A:

Q: Use the function that describes the acceleration of an object that is in motion and the initial…

A:

Q: Consider the following position function. Find ​(a) the velocity and the speed of the object and…

A: In this question, concept of velocity and acceleration is used. The rate of change of one quantity…

Q: Find the derivative of the trigonometric function. Re) = e® sin(e) f (e) = -1

A:

Q: Find the derivatives of the functions q = cot (sin t/t)

A:

Q: Consider the following position function. Find (a) the velocity and the speed of the object and (b)…

A:

Q: Given position s (in ft.) as a function of time t (in sec.): s=ť – 6t + 1, find the acceleration…

A: Given S(t)=t3-6t+1 is the equation for positionWe know that we get velocity upon differentiating the…