Find the tangential component of acceleration for r(t) = (t³)i + (3t+1)j + (4t²)k.
a. 9t³+64t/√4t⁴+64t² +9
b. 18t³+64t/√4t⁴+64t²+9
c. 9t³+32t/√9t⁴+65t²+9
d. 18t³+64t/√9t⁴+64t²+9