The tangent vector to at is

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

The tangent vector to r(t)=2t2i^+(1−t)j^+(3t2+2)k^\mathbf{r}(t)=2t^2\hat{i}+(1-t)\hat{j}+(3t^2+2)\hat{k} at (2,0,5)(2,0,5) is (1) 4i^+j^−6k^4\hat{i}+\hat{j}-6\hat{k} (2) 4i^−j^+6k^4\hat{i}-\hat{j}+6\hat{k} (3) 2i^−j^+6k^2\hat{i}-\hat{j}+6\hat{k} (4) 2i^+j^−6k^2\hat{i}+\hat{j}-6\hat{k}

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