04:29

Find the tangential and normal components of the acceleration vector

02:29

Find the tangential and normal components of the acceleration vector.𝑟(𝑡)=(𝑡)𝑖+(𝑡^2)𝑗+(7𝑡)𝑘

02:30

Find the tangential and normal components of the acceleration vector.𝑟(𝑡)=(𝑡)𝑖+(𝑡^2)𝑗+(3𝑡)𝑘

02:30

Find the tangential and normal components of the acceleration vector.𝑟(𝑡)=(4+𝑡)𝑖+(𝑡^2−2𝑡)𝑗

02:30

Find the tangential and normal components of the acceleration vector.𝑟(𝑡)=(5+𝑡)𝑖+(𝑡^2−2𝑡)𝑗

02:30

Find the tangential and normal components of the acceleration vector.𝑟(𝑡)=2(3𝑡−𝑡^3)𝑖+6𝑡^2𝑗

02:30

Find the tangential and normal components of the acceleration vector.𝑟(𝑡)=5(3𝑡−𝑡^3)𝑖+15𝑡^2𝑗

02:30

Find the tangential and normal components of the acceleration vector. 𝑟(𝑡)=3(3𝑡−𝑡^3)𝑖+9𝑡^2𝑗

02:30

Find the tangential and normal components of the acceleration vector. 𝑟(𝑡)=cos⁡(𝑡)𝑖+sin⁡(𝑡)𝑗+𝑡𝑘

06:29

Find the range of the projectile, the maximum height reached, and the speed at impact.

06:28

Find the range of the projectile, the maximum height reached, and the speed at impact.

06:29

Find the range of the projectile, the maximum height reached, and the speed at impact.

01:29

Find the unit tangent vector T(t) at the point with the given value of the parameter t.

05:28

Find the range of the projectile, the maximum height reached, and the speed at impact.

05:29

Find the range of the projectile, the maximum height reached, and the speed at impact.

05:41

Find the range of the projectile, the maximum height reached, and the speed at impact.

02:29

Find its position function and its speed at time t.

01:28

What force is required so that a particle of mass m has position function 𝑟(𝑡)=𝑡^3 𝑖+4𝑡^2 𝑗+𝑡^3 𝑘

02:00

Find the position vector of a particle that has the given acceleration

02:30

Find its position function and its speed at time t.

01:28

What force is required so that a particle of mass m has position function 𝑟(𝑡)=𝑡^3 𝑖+6𝑡^2𝑗+𝑡^3𝑘

02:00

Find the position vector of a particle that has the given acceleration

02:00

Find the position vector of a particle that has the given acceleration

02:00

Find the position vector of a particle that has the given acceleration

01:29

Find the velocity, acceleration, and speed of a particle with the given position function.

01:28

Find the velocity, acceleration, and speed of a particle with the given position function.

01:28

Find the velocity, acceleration, and speed of a particle with the given position function.

01:29

Find the velocity, acceleration, and speed of a particle with the given position function.

01:29

Find the velocity, acceleration, and speed of a particle with the given position function.

01:29

Find the velocity, acceleration, and speed of a particle with the given position function.

01:28

Find the velocity, acceleration, and speed of a particle with the given position function.

01:28

Find the velocity, acceleration, and speed of a particle with the given position function.

01:29

Find the velocity, acceleration, and speed of a particle with the given position function

01:58

Parametrize the curve with respect to arc length measured

01:27

Find the velocity, acceleration, and speed of a particle with the given position function.

01:54

Parametrize the curve with respect to arc length measured

02:28

Find equations of the osculating circles of the parabola 𝑦=1/2 𝑥^2at the points (0, 0)and (-1, 1/2)

03:29

Find equations of the osculating circles of the ellipse 16𝑥^2+4𝑦^2=64 at the points(2, 0) and (0, 4)

03:29

Find equations of the osculating circles of the ellipse 25𝑥^2+4𝑦^2=100 at the points(2, 0) and(0, 5)

04:33

Find the equation of the normal plane and the osculating plane of the curve at the given point.

04:29

Find the equation of the normal plane and the osculating plane of the curve at the given point.

04:27

Find the equation of the normal plane and osculating plane of the curve at the given point.

03:24

Find the vectors T, N, and B at the given point𝑟(𝑡)=⟨9cos⁡(𝑡),9sin⁡(𝑡), 9ln⁡(cos⁡(𝑡))⟩, (9, 0, 0)

03:24

Find the vectors T, N, and B at the given point𝑟(𝑡)=⟨6cos⁡(𝑡),6sin⁡(𝑡), 6ln⁡(cos⁡(𝑡))⟩, (6, 0, 0)

04:29

Find the vectors T, N, and B at the given point𝑟(𝑡)=⟨𝑡^2, 2/3 𝑡^3, 𝑡⟩, (4, 16/3, 2)

04:29

Find the vectors T, N, and B at the given point𝑟(𝑡)=⟨𝑡^2, 2/3 𝑡^3, 𝑡⟩, (4, −16/3, −2)

01:00

Use the formula in a previous exercise to find the curvature. 𝑥=9+𝑡^2, 𝑦=2+𝑡^3

04:29

Find the vectors T, N, and B at the given point𝑟(𝑡)=⟨𝑡^2, 2/3 𝑡^3, 𝑡⟩, (1, 2/3, 1)

01:01

Find the curvature of the following curve.𝑥=2+𝑡^2, 𝑦=3+𝑡^3

02:59

Find the curvature of𝑟(𝑡)=⟨9𝑡, 𝑡^2,𝑡^3 ⟩at the point (9, 1, 1)

03:29

At what point does the curve have maximum curvature?𝑦=9ln⁡(𝑥)

03:29

At what point does the curve have maximum curvature?𝑦=3ln⁡(𝑥)

02:59

Find the curvature of𝑟(𝑡)=⟨7𝑡, 𝑡^2,𝑡^3 ⟩at the point (7, 1, 1)

00:59

Use this formula to find the curvature.𝑦=2𝑥^4

00:59

Use this formula to find the curvature.𝑦=3𝑥^4

04:29

Find the unit tangent and unit normal vectors T(t) and N(t). Find the curvature

04:29

Find the unit tangent and unit normal vectors T(t) and N(t). Find the curvature

04:28

Find the unit tangent and unit normal vectors T(t) and N(t). Find the curvature

05:29

Find the unit tangent and unit normal vectors T(t) and N(t).Find the curvature

05:29

Find the unit tangent and unit normal vectors T(t) and N(t). Find the curvature