The position vector of a particle is r(t). Find the requested vector.The velocity at t = 0 for r(t) = cos(4t)i + 5ln(t - 3)j - 
k
A. v(0) = 4i - 
j
B. v(0) = 
j
C. v(0) = -
j
D. v(0) = -4i - 
j
Answer: C
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Solve the problem.A company makes a very durable product. It sells 20,000 in the first year, but will have diminishing sales due to the product's durability, so that each year it can expect to sell only seventy-five percent of the quantity it will have sold the year before. How many products can the company expect to eventually sell?
A. 26,667 products B. 35,000 products C. 40,000 products D. 80,000 products
Use a special product formula to simplify.[(m - 9) - n][(m - 9) + n]
A. m2 - 18m + 81 - n2 B. m2 - 18m + 81 + 2mn + 18n - n2 C. m2 + 18m + 81 - n2 D. m2 + 81 - n2
Graph the integrand and use geometry to evaluate the integral.
A. 196 B. 392 C. 28 D. 98
Evaluate the expression without using a calculator, or state that the value does not exist. Simplify the answer to the extent possible.sech-1(ln 4)
A. 
B. 
C. does not exist
D. 