Work of electric current. A work of the electric current varies directly as a passed time and a current. Suppose that the work of the electric current through some conductor is 234 J with passed time 3 s and current 13 A. Find the work of the same electric current if the current is 23 A and the passed time is 12 s.
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a. A = 1,656 J
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Solve the problem.Evaluate 
by writing the integrand as an integral.
A. 
B. ln 
C. ln 
D. 
Add or subtract as indicated.6
+ 
- 5
A. 11
+ 
B. 
+ 
C. 
D. 
Graph the function f(x) over the given interval. Partition the interval into 4 subintervals of equal length. Then add to your sketch the rectangles associated with the Riemann sum 
, using the indicated point in the kth subinterval for ck.f(x) = x2 - 1, [0, 8], left-hand endpoint
A. 
B. 
C. 
D. 
Solve the problem. Round to an appropriate number of significant digits.In one study the maximum heart rates of conditioned athletes were examined. A group of athletes was exercised to exhaustion. Let x represent an athlete's heart rate five seconds after stopping exercise and y represent an athlete's heart rate ten seconds after stopping exercise. It was found that the maximum heart rate H for these athletes satisfied the following two equations. H = 0.491x + 0.468y + 11.2 H = -0.981x + 1.872y + 26.4If an athlete had maximum heart rate H = 155, determine the value of x graphically.
A. x = 151.9 B. x = 152.2 C. x = 151.1 D. x = 151.6