Part (a): Speed at time t = 1 , for a particle with polar coordinates at time t are r = t , θ = t Part (b): Speed at time t = 1 , for a particle with rectangular coordinates at time t are x = t , y = t Part (c): why is the speed increasing in one case and constant in the other

Question

Want to see the full answer?

Answer 1

Question

Chapter 12.4, Problem 44E

To determine

Part (a): Speed at time $t = 1$ , for a particle with polar coordinates at time $t$ are $r = t, θ = t$

Part (b): Speed at time $t = 1$ , for a particle with rectangular coordinates at time $t$ are $x = t, y = t$

Part (c): why is the speed increasing in one case and constant in the other

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

3.1 Limits 1. If lim f(x)=-6 and lim f(x)=5, then lim f(x). Explain your choice. x+3° x+3* x+3 (a) Is 5 (c) Does not exist (b) is 6 (d) is infinite

1 pts Let F and G be vector fields such that ▼ × F(0, 0, 0) = (0.76, -9.78, 3.29), G(0, 0, 0) = (−3.99, 6.15, 2.94), and G is irrotational. Then sin(5V (F × G)) at (0, 0, 0) is Question 1 -0.246 0.072 -0.934 0.478 -0.914 -0.855 0.710 0.262 .

2. Answer the following questions. (A) [50%] Given the vector field F(x, y, z) = (x²y, e", yz²), verify the differential identity Vx (VF) V(V •F) - V²F (B) [50%] Remark. You are confined to use the differential identities. Let u and v be scalar fields, and F be a vector field given by F = (Vu) x (Vv) (i) Show that F is solenoidal (or incompressible). (ii) Show that G = (uvv – vVu) is a vector potential for F.

Answer 2

Question

Chapter 12.4, Problem 44E

To determine

Part (a): Speed at time $t = 1$ , for a particle with polar coordinates at time $t$ are $r = t, θ = t$

Part (b): Speed at time $t = 1$ , for a particle with rectangular coordinates at time $t$ are $x = t, y = t$

Part (c): why is the speed increasing in one case and constant in the other

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 12.4, Problem 44E

To determine

Part (a): Speed at time $t = 1$ , for a particle with polar coordinates at time $t$ are $r = t, θ = t$

Part (b): Speed at time $t = 1$ , for a particle with rectangular coordinates at time $t$ are $x = t, y = t$

Part (c): why is the speed increasing in one case and constant in the other

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 12.4, Problem 44E

To determine

Part (a): Speed at time $t = 1$ , for a particle with polar coordinates at time $t$ are $r = t, θ = t$

Part (b): Speed at time $t = 1$ , for a particle with rectangular coordinates at time $t$ are $x = t, y = t$

Part (c): why is the speed increasing in one case and constant in the other

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter 12.4, Problem 44E

To determine

Part (a): Speed at time $t = 1$ , for a particle with polar coordinates at time $t$ are $r = t, θ = t$

Part (b): Speed at time $t = 1$ , for a particle with rectangular coordinates at time $t$ are $x = t, y = t$

Part (c): why is the speed increasing in one case and constant in the other

Answer 6

Chapter 12.4, Problem 44E

To determine

Part (a): Speed at time $t = 1$ , for a particle with polar coordinates at time $t$ are $r = t, θ = t$

Part (b): Speed at time $t = 1$ , for a particle with rectangular coordinates at time $t$ are $x = t, y = t$

Part (c): why is the speed increasing in one case and constant in the other

Answer 7

Chapter 12.4, Problem 44E

To determine

Part (a): Speed at time $t = 1$ , for a particle with polar coordinates at time $t$ are $r = t, θ = t$

Part (b): Speed at time $t = 1$ , for a particle with rectangular coordinates at time $t$ are $x = t, y = t$

Part (c): why is the speed increasing in one case and constant in the other

Answer 8

Expert Solution & Answer

Answer 9

Expert Solution & Answer

Answer 10

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 11

Ch. 12.1 - Prob. 1PQ Ch. 12.1 - Prob. 2PQ Ch. 12.1 - Prob. 3PQ Ch. 12.1 - Prob. 4PQ Ch. 12.1 - Prob. 5PQ Ch. 12.1 - Prob. 6PQ Ch. 12.1 - Prob. 7PQ Ch. 12.1 - Prob. 1E Ch. 12.1 - Prob. 2E Ch. 12.1 - Prob. 3E

Part (a): Speed at time t = 1 , for a particle with polar coordinates at time t are r = t , θ = t Part (b): Speed at time t = 1 , for a particle with rectangular coordinates at time t are x = t , y = t Part (c): why is the speed increasing in one case and constant in the other

Solution Summary: The author explains that the speed is increasing in one case and constant in the other because of uniform increment in path along both the axes in case of rectangular coordinates.

Videos

Part (a): Speed at time $t = 1$ , for a particle with polar coordinates at time $t$ are $r = t, θ = t$

Part (b): Speed at time $t = 1$ , for a particle with rectangular coordinates at time $t$ are $x = t, y = t$

Part (c): why is the speed increasing in one case and constant in the other

Want to see the full answer?

Chapter 12 Solutions

Part (a): Speed at time t = 1 , for a particle with polar coordinates at time t are r = t , θ = t Part (b): Speed at time t = 1 , for a particle with rectangular coordinates at time t are x = t , y = t Part (c): why is the speed increasing in one case and constant in the other

Solution Summary: The author explains that the speed is increasing in one case and constant in the other because of uniform increment in path along both the axes in case of rectangular coordinates.

Videos

Part (a): Speed at time t=1, for a particle with polar coordinates at time t are r=t,θ=t Part (b): Speed at time t=1, for a particle with rectangular coordinates at time t are x=t,y=t Part (c): why is the speed increasing in one case and constant in the other

Want to see the full answer?

Chapter 12 Solutions

Part (a): Speed at time $t = 1$ , for a particle with polar coordinates at time $t$ are $r = t, θ = t$

Part (b): Speed at time $t = 1$ , for a particle with rectangular coordinates at time $t$ are $x = t, y = t$

Part (c): why is the speed increasing in one case and constant in the other