Find the volume of the described solid.The solid lies between planes perpendicular to the x-axis at
and
. The cross sections perpendicular to the x-axis between these planes are squares whose bases run from the parabola
to the parabola
.
A. 441
B. 147
C. 864
D. 882
Answer: D
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Use integration by parts to establish a reduction formula for the integral.
A. = xn ex -
B. = xn ex - n
C. = xn ex - n
D. = xn ex + n
If M is the theoretical maximum charge that a battery can hold and k is a positive constant that depends on the battery and the charger, the length of time (in minutes) required to charge the battery to a given level C is given by
?
.
?
If , how long will it take a battery to reach a 60% charge? Assume that the battery was fully discharged when it began charging.
?
Please enter your answer as a number without the units, rounded to one decimal place.
Fill in the blank(s) with the appropriate word(s).
Solve the problem.A salesperson gets a commission of $800 for the first $10,000 of sales, and then $400 for each additional $10,000 or fraction of $10,000 of sales. Let represent the commission on x dollars of sales. Find the value of
A. $3800 B. $4600 C. $4200 D. $4400
Use natural logarithms to evaluate the logarithm to the nearest thousandth.log 238.0
A. 4.981 B. 0.100 C. 9.962 D. 0.239