Use spherical coordinates to find the volume of the indicated region.the region inside the solid sphere  that lies between the cones  and 

A. ?
B. 9?
C. ?
D. ?


Answer: B

Mathematics

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Find the principal unit normal vector N for the curve r(t).r(t) = (2 + t)i + (3 + ln(cos t))k, -?/2 < t < ?/2

A. N = (-cos t)i - (ln(cos t))k B. N = (cos t)i + (sin t)k C. N = (-sin t)i - (cos t)k   D. N = (-cos t)i - (tan t)k

Mathematics

Fried's Rule for calculating the pediatric dosage, p, of medication is p =  where m = the child's age in months and A = the adult dosage. Calculate the proper pediatric dosage for a child who is 3 months old if the usual adult dosage is 25 mg.

A. 0.125 mg B. 2.5 mg C. 2 mg D. 0.5 mg

Mathematics

Write the partial fraction decomposition of the rational expression.

A.  - 
B.  + 
C.  - 
D.  - 

Mathematics

Use the product and quotient rules, as necessary, to simplify the radical expression. 

A.
B.
C.
D.

Mathematics