Evaluate the expression without using a calculator.

(a) 64
(b) ln 64
(c) ln 8
(d) 16
(e) ln16


(a) 64

Mathematics

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Find the area enclosed by the given curves.Find the area of the region in the first quadrant bounded on the left by the line y =  and on the right by the curves y = tan 2 x and y = cot 2 x. (Round to four decimal places.)

A. 4.3094
B. 0.3094
C.

0.5858

D. 0.4126

Mathematics

Using Green's Theorem, find the outward flux of F across the closed curve C.F = sin 5yi + cos 9xj ; C is the rectangle with vertices at (0, 0), , and 

A. - ?
B. 0
C. - ?
D. ?

Mathematics

Solve the problem using the table below.In addition, options can be added to the base coverage including the following: identity theft/fraud protection-$20/year; sewer/sump pump backup protection-$75/year. Extended coverage endorsements beyond the maximum coverage amounts can also be added for specific personal property. Endorsements can be added for: jewelry, watches, and furs-$0.85/$100/year; camera equipment-$1.35/$100/year; computer equipment-$0.95/$100/year; fine art and collectibles-$1.10/$100/year; firearms and accessories-$1.45/ $100/year; and portable tools-$3.25/$100/year.Find the annual homeowners insurance premium on a frame home located in

zone 2 if the home is insured for $100,000. The owner chooses a $1500 deductible and has a credit rating of OCC. A. $320.00 B. $440.00 C. $4400.00 D. $410.00

Mathematics

Solve the double inequality.-5 <  ? 3

A.  < x <  
B. -  ? x < 
C.  ? x <  
D. -  ? x ?  

Mathematics