Evaluate the radical expressions or indicate that the root is not a real number.
A. 16
B. -2
C. 2
D. Not a real number
Answer: D
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Find the unit tangent vector T and the principal unit normal vector N. r(t) = (10 + t)i + (4 + ln(sec t))j - 4k, -?/2 < t < ?/2
A. T = (cos t)i + (sin t)j; N = (- sin t)i + (cos t)j B. T = (cos t)i - (sin t)j; N = (-sin t)i - (cos t)j C. T = (-cos t)i - (sin t)j; N = (-cos t)i + (sin t)j D. T = (-cos t)i - (sin t)j; N = (sin t)i - (cos t)j
Perform the indicated operation and simplify. +
A.
B.
C. 1
D.
Solve.The population of a small town in 1988 was 11,000 people. Due to decline in industrial growth the population has since been decreasing at a rate of 3% every year. What was the population of this town in 1998?
A. 8988 people B. 8112 people C. 7313 people D. 6586 people
Without using a calculator, determine the value of the trigonometric function or state that the value is undefined.tan
A.
B.
C. -
D.