Question

Evaluate the vector-valued function at each given value of t.\\ $r(t) = \frac{1}{2}t^2\mathbf{i} - (t - 4)\mathbf{j}$\\ (a) $r(4) = 0$\\ (b) $r(0) = 4\mathbf{j}$\\ (c) $r(s + 4) =$\\ (d) $r(2 + \Delta t) - r(2) = $

          Evaluate the vector-valued function at each given value of t.\\
$r(t) = \frac{1}{2}t^2\mathbf{i} - (t - 4)\mathbf{j}$\\
(a) $r(4) = 0$\\
(b) $r(0) = 4\mathbf{j}$\\
(c) $r(s + 4) =$\\
(d) $r(2 + \Delta t) - r(2) = $

Evaluate the vector-valued function at each given value of t.

r(t) = (1)/(2)t^2𝐢 - (t - 4)𝐣

(a) r(4) = 0

(b) r(0) = 4𝐣

(c) r(s + 4) =

(d) r(2 + Δ t) - r(2) =

Added by William K.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Monica Miller

07/23/2021

Step 1

$$r(4) = \frac{1}{2}(4)^2 \mathbf{i} - (4-4)\mathbf{j}$$ Show more…

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Evaluate the vector-valued function at each given value of t. $$r(t) = \frac{1}{2}t^2 \mathbf{i} - (t-4)\mathbf{j}$$ (a) r(4) = 0 (b) r(0) = 4j (c) r(s + 4) = (d) r(2 + Δt) - r(2) =