Find the unit tangent vector of the given curve.r(t) = 4t6i - 3t6j + 12t6k

A. T = j - k
B. T = j + k
C. j + k
D. T = j + k


Answer: C

Mathematics

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Evaluate the integral by making a substitution and then using a table of integrals.

A. ln  + cos t + C
B. ln  - sin t + C
C. ln  + sin t + C
D. ln  - sin t + C

Mathematics

Use the cofunction identities to find an angle ? that makes the statement true.tan (2? - 140°) = cot (? + 5°)

A. ? = 6° B. ? = 75° C. ? = 10° D. ? = 16°

Mathematics

You are given and a tolerance ?. Find a number ? such that | f(x) – L |

Mathematics

Solve. Remember to insert units when writing your answer.How many gallons of punch have been prepared if 10 pt 1 c of fruit juice is mixed with  of ginger ale? Give your answer as a mixed number.

A. 2 gal
B. 1 gal
C. 2 gal
D. 5 gal

Mathematics