Find the indefinite integral.
?
?
A. 
B. 
C. 
D. 
E. 
Answer: D
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Find the unit tangent vector T and the principal unit normal vector N. r(t) = (10t sin t + 10cos t)i + (10t cos t - 10 sin t)j - 10k
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 = (sin t)i - (cos t)j D. T = (cos t)i + (sin t)j; N = (-sin t)i + (cos t)j
Evaluate the improper integral or state that it is divergent.
A. Divergent B. -1.4444 C. -4.667 D. 0.3333
Solve. Write a mixed numeral for the answer.Fahrenheit temperatures can be obtained from Celsius (centigrade) by multiplying by 1
and adding 32°. What Fahrenheit temperature corresponds to a Celsius temperature of 71°?
A. 185
°F
B. 159
°F
C. 103
°F
D. 88
°F
Solve the problem.An item is originally priced to sell for $55 and is marked down 20%. A customer has a coupon for an additional 5%. What is the total percent reduction for this item? Give the net decimal equivalent and total percent reduction.
A. 0.76; 24% B. 0.25; 75% C. 0.75; 25% D. 0.24; 76%