(a) Let r → ( t ) = 〈 t , 1 − t , t 2 〉 Find the general formula for T ∧ and N ∧ as function of t ∧

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Answer 1

Question

Chapter 14.4, Problem 55E

To determine

(a)

Let $\vec{r} (t) = 〈 t, 1 - t, t^{2} 〉$

Find the general formula for $\overset{\land}{T} and \overset{\land}{N}$ as function of $\overset{\land}{t}$

To determine

(b)

Find the general formula of $\overset{\land}{B}$ as function of $t$

To determine

(c)

Nature of osculating plane. From result obtain from $(b)$ part solution.

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3. Consider the sequences of functions fn: [-T, π] → R, sin(n²x) n(2) n (i) Find a function f : [-T, π] R such that fnf pointwise as n∞. Further, show that f uniformly on [-T,π] as n→ ∞. [20 Marks] (ii) Does the sequence of derivatives f(x) has a pointwise limit on [-7,π]? Justify your answer. [10 Marks]

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Answer 2

Question

Chapter 14.4, Problem 55E

To determine

(a)

Let $\vec{r} (t) = 〈 t, 1 - t, t^{2} 〉$

Find the general formula for $\overset{\land}{T} and \overset{\land}{N}$ as function of $\overset{\land}{t}$

To determine

(b)

Find the general formula of $\overset{\land}{B}$ as function of $t$

To determine

(c)

Nature of osculating plane. From result obtain from $(b)$ part solution.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 14.4, Problem 55E

To determine

(a)

Let $\vec{r} (t) = 〈 t, 1 - t, t^{2} 〉$

Find the general formula for $\overset{\land}{T} and \overset{\land}{N}$ as function of $\overset{\land}{t}$

To determine

(b)

Find the general formula of $\overset{\land}{B}$ as function of $t$

To determine

(c)

Nature of osculating plane. From result obtain from $(b)$ part solution.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 14.4, Problem 55E

To determine

(a)

Let $\vec{r} (t) = 〈 t, 1 - t, t^{2} 〉$

Find the general formula for $\overset{\land}{T} and \overset{\land}{N}$ as function of $\overset{\land}{t}$

To determine

(b)

Find the general formula of $\overset{\land}{B}$ as function of $t$

To determine

(c)

Nature of osculating plane. From result obtain from $(b)$ part solution.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 14.4, Problem 55E

To determine

(a)

Let $\vec{r} (t) = 〈 t, 1 - t, t^{2} 〉$

Find the general formula for $\overset{\land}{T} and \overset{\land}{N}$ as function of $\overset{\land}{t}$

To determine

(b)

Find the general formula of $\overset{\land}{B}$ as function of $t$

To determine

(c)

Nature of osculating plane. From result obtain from $(b)$ part solution.

Answer 6

Chapter 14.4, Problem 55E

To determine

(a)

Let $\vec{r} (t) = 〈 t, 1 - t, t^{2} 〉$

Find the general formula for $\overset{\land}{T} and \overset{\land}{N}$ as function of $\overset{\land}{t}$

Answer 7

Chapter 14.4, Problem 55E

To determine

(a)

Let $\vec{r} (t) = 〈 t, 1 - t, t^{2} 〉$

Find the general formula for $\overset{\land}{T} and \overset{\land}{N}$ as function of $\overset{\land}{t}$

Answer 8

To determine

(b)

Find the general formula of $\overset{\land}{B}$ as function of $t$

Answer 9

To determine

(b)

Find the general formula of $\overset{\land}{B}$ as function of $t$

Answer 10

To determine

(c)

Nature of osculating plane. From result obtain from $(b)$ part solution.

Answer 11

To determine

(c)

Nature of osculating plane. From result obtain from $(b)$ part solution.

Answer 12

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

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Answer 15

Ch. 14.1 - Prob. 1PQ Ch. 14.1 - Prob. 2PQ Ch. 14.1 - Prob. 3PQ Ch. 14.1 - Prob. 4PQ Ch. 14.1 - Prob. 5PQ Ch. 14.1 - Prob. 6PQ Ch. 14.1 - Prob. 1E Ch. 14.1 - Prob. 2E Ch. 14.1 - Prob. 3E Ch. 14.1 - Prob. 4E

(a) Let r → ( t ) = 〈 t , 1 − t , t 2 〉 Find the general formula for T ∧ and N ∧ as function of t ∧

Solution Summary: The author explains how to determine the general formula for T and N as function of t.

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(a)

Let $\vec{r} (t) = 〈 t, 1 - t, t^{2} 〉$

Find the general formula for $\overset{\land}{T} and \overset{\land}{N}$ as function of $\overset{\land}{t}$

(b)

Find the general formula of $\overset{\land}{B}$ as function of $t$

(c)

Nature of osculating plane. From result obtain from $(b)$ part solution.

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Chapter 14 Solutions

(a) Let r → ( t ) = 〈 t , 1 − t , t 2 〉 Find the general formula for T ∧ and N ∧ as function of t ∧

Solution Summary: The author explains how to determine the general formula for T and N as function of t.

Videos