Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false.
?
The function 
is a solution of the differential equation 
.
What will be an ideal response?
, 
; 
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Find the volume of the solid generated by revolving the region about the y-axis.The region enclosed by x = 
, x = 0, y = 1, y = 4
A. 
?
B. 
?
C. 3?
D. 5?
In a school survey, students showed these preferences for instructional materials. Answer the question.
About how many students would you expect to prefer films in a school of 550 students?
A. About 110 students B. About 20 students C. About 99 students D. About 66 students
Perform the indicated operation without the use of a calculator and express each answer in decimal notation.(3.5 × 10-5)(3 × 10-2)
A. 0.0105 B. 0.0000105 C. 10,500 D. 0.00000105
Find the principal unit normal vector N for the curve r(t).r(t) = (3 sin t)i + (3 cos t)j + 4k
A. N(t) = (-sin t)i + (cos t)j B. N(t) = (sin t)i + (cos t)j C. N(t) = (-sin t)i - (cos t)j D. N(t) = (-cos t)i - (sin t)j