Calculus / Calculus: Early Transcendentals, 10 / Chapter 11.3 / Problem 47

Calculus: Early Transcendentals, | 10th Edition | ISBN: 9780470647691 | Authors: Howard Anton Irl C. Bivens, Stephen Davis

For each x in (, +), let u(x) be the vector from theorigin to the point P (x, y) on the

Chapter 11, Problem 47

(choose chapter or problem)

For each x in $(-\infty,+\infty)$, let u(x) be the vector from the origin to the point $P(x, y)$ on the curve $y=x^{2}+1$, and v(x) the vector from the origin to the point $Q(x, y)$ on the line $y=-x-1$

(a) Use a CAS to find, to the nearest degree, the minimum angle between u(x) and v(x) for x in $(-\infty,+\infty)$.

(b) Determine whether there are any real values of x for which u(x) and v(x) are orthogonal.

Equation Transcription:

$(-\infty{},+\infty{})$

$P(x,y)$

$y={x}^{2}+1$

$Q(x,y)$

$y=-x-1$

Text Transcription:

(-infinity,+infinity)

P(x,y)

y=x^2+1

Q(x,y)

y=-x-1

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