Solve the problem.Let T: ?2 -> ?2 be a linear transformation that maps u = 
into 
and maps v = 
into 
. Use the fact that T is linear to find the image of 
A. 
B. 
C. 
D. 
Answer: B
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Evaluate the line integral along the curve C.
ds , C is the curve r(t) = 4ti + (8 cos 
t)j + (8 sin 
t)k , 0 ? t ? 
?
A. 
+ 
B. 
?
C. 
?2 + 
D. 
?2 + 
Solve.Newton's Law of Cooling states that if a body with temperature T1 is placed in surroundings with temperature T0 different from T1, then the body will either cool or warm to temperature T(t) after time t, in minutes, where 
A cup of coffee with temperature 105°F is placed in a freezer with temperature 0°F. After 5 minutes, the temperature of the coffee is 69.3°F. What will its temperature be 20 minutes after it is placed in the freezer? Round your answer to the nearest degree.
A. 18°F B. 16°F C. 17°F D. 20°F
Using a dot product, calculate the work done in the given situation.A person weighing 171 pounds walks 6 feet up a ramp inclined at 25°.
A. 1026 ft-lb B. 433.6 ft-lb C. 929.9 ft-lb D. No work is done
Simplify the complex rational expression.
A. 6
B. 
C. x2 + 6
D. 