g(t)=-t2-3t=3

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Beverley SmithLv2

20 Feb 2019

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Suppose you need to know an equation of the tangent plane at a surface S at the point P(3, 1, 3). You don't have an equation for S but you know the following curves both lie on S.
r1(t) = <3 + 3t, 1 - t2, 3 - 5t + t2>
r2(u) = <2 + u2, 2u3 - 1, 2u + 1>
Find an equation of the tangent plane at P.

Find the distance between the point (4,1,-2) and the liner(t)=<1+t, 3-2t, 4-3t>

Find a vector parametric equation r? (t) for the line through the points P=(-4,-3,5) and Q=(-2,-8,3) for each of the given conditions on the parameter t .

(a) If r? (0)=<-4,-3,5> and r? (5)=<-2,-8,3> , then
r? (t)=

(b) If r? (3)=P and r? (7)=Q , then
r? (t)=

(c) If the points P and Q correspond to the parameter values t=0 and t=-2 , respectively, then
r? (t)=

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<p>g(t)=-<span style="font-size:11px;">t<sup>2</sup>-3t=3</span></p>
<p><span style="font-size: 11px;"><br/></span></p>

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Single Variable Calculus: Early Transcendentals

CALCULUS:EARLY TRANSCENDENTALS

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<p>g(t)=-<span style="font-size:11px;">t<sup>2</sup>-3t=3</span></p><p><span style="font-size: 11px;"><br/></span></p>

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Related textbook solutions

Calculus

Single Variable Calculus: Early Transcendentals

CALCULUS:EARLY TRANSCENDENTALS

Related questions

Weekly leaderboard

<p>g(t)=-<span style="font-size:11px;">t<sup>2</sup>-3t=3</span></p>
<p><span style="font-size: 11px;"><br/></span></p>