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

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Answer 1

Question

Chapter 12.4, Problem 42E

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

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For the following function f and real number a, a. find the slope of the tangent line mtan = f' (a), and b. find the equation of the tangent line to f at x = a. f(x)= 2 = a = 2 x2 a. Slope: b. Equation of tangent line: y

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Answer 2

Question

Chapter 12.4, Problem 42E

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

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 12.4, Problem 42E

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

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 12.4, Problem 42E

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

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Check out a sample textbook solution

See solution

Answer 5

Chapter 12.4, Problem 42E

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 42E

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 42E

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

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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

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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