Question

Show that r(t) = (3cost, 5sint, 4cost) lies on a sphere with radius 5 and calculate...

Show that r(t) = (3cost, 5sint, 4cost) lies on a sphere with radius 5 and calculate the velocity and speed of the moving object.

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find the curvature κ(t)κ(t) of the curve r(t)=(−5sint)i+(−5sint)j+(−4cost)k
Find the curvature κ(t)κ(t) of the curve r(t)=(−5sint)i+(−5sint)j+(−4cost)k
A sphere with radius 1 m has temperature 11°C. It lies inside a concentric sphere with...
A sphere with radius 1 m has temperature 11°C. It lies inside a concentric sphere with radius 2 m and temperature 28°C. The temperature T(r) (in °C) at a distance r (in meters) from the common center of the spheres satisfies the differential equation d2T dr2 + 2 r dT dr = 0. If we let S = dT/dr, then S satisfies a first-order differential equation. Solve it to find an expression for the temperature T(r) between the spheres. (Use...
use one of four curvature formulas, to find the curvature of r(t) = <4cost, 4sint, 5>...
use one of four curvature formulas, to find the curvature of r(t) = <4cost, 4sint, 5> at (4,0,5)
A sphere with a volume V and a radius of r is compressed (flattened) into the...
A sphere with a volume V and a radius of r is compressed (flattened) into the shape of a cylinder with a radius of r and a height of r/4. The volume remains constant. Show that the surface-to-volume ratio of the sphere is less than that of the flattened cylinder.
A sphere of radius R has total mass M and density function given by ρ =...
A sphere of radius R has total mass M and density function given by ρ = kr, where r is the distance a point lies from the centre of the sphere. Give an expression for the constant k in terms of M and R.
calculate buoyant force acting on a solid sphere with radius R, submerged into a liquid with...
calculate buoyant force acting on a solid sphere with radius R, submerged into a liquid with density rho
A tiny conducting sphere of radius R= 5 cm has n=10^10 excess electrons on it. What...
A tiny conducting sphere of radius R= 5 cm has n=10^10 excess electrons on it. What is the electric potential (with the right sign) due to this object at a distance d=4.3m from its center?
.A uniform sphere of mass m radius r starts rolling down without slipping from the top...
.A uniform sphere of mass m radius r starts rolling down without slipping from the top of another larger sphere of radius R. Find the angular velocity of the sphere after it leaves the surface of the larger sphere.
Q2a) Show that the potential at the surface of a uniformly charged sphere of radius R...
Q2a) Show that the potential at the surface of a uniformly charged sphere of radius R is V=Kq/R where K = 1/4πɛ₀ and the zero of potential is at infinity). Hence derive an expression for the potential energy of the sphere. (Hint, assemble the sphere from the charges at infinity) b) A parallel plate capacitor has conducting plates, each of area A, situated at y=0 and y=d. two parallel dielectric sheets occupy the space between the plates. Dielectric of relative...
A hollow sphere and a solid sphere, both of mass M and radius R, are each...
A hollow sphere and a solid sphere, both of mass M and radius R, are each spinning about an axis through their centers with the same angular speed. If the same braking torque is applied to each, which takes longer to come to a stop? A. hollow sphere B. solid sphere C. They both come to a stop in an equal amount of time.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT