Solve the problem. Be sure to make a diagram of the situation with all the given information labeled.
?
A man wandering in the desert walks 2.5 miles in the direction 
. He then turns 90° and walks 3.3 miles in the direction 
. At that time, how far is he from his starting point, and what is his bearing from his starting point? Round the distance to one decimal place and the angle to the whole number.
??
A. The distance is 1.8 mi ; the man's bearing is 
.
B. The distance is 4.1 mi ; the man's bearing is 
.
C. The distance is 1.8 mi ; the man's bearing is 
.
D. The distance is 4.1 mi ; the man's bearing is 
.
E. The distance is 4.1 mi ; the man's bearing is 
.
Answer: B
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Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. Determine where the function is increasing and where it is decreasing. If necessary, round answers to two decimal places.f(x) = -0.3x3 + 0.2x2 + 4x - 5; (-4, 5)
What will be an ideal response?
Solve the problem.The surface area of a balloon is given by S(r) = 4?r2, where r is the radius of the balloon. If the radius is increasing with time t, as the balloon is being blown up, according to the formula 
find the surface area S as a function of the time t.
A. S(r(t)) = 
?t3
B. S(r(t)) = 
?t9
C. S(r(t)) = 
?t6
D. S(r(t)) = 
?t6
Provide an appropriate response.Determine whether each statement below is true or false. If either statement is false, provide a counterexample.- If two vectors are perpendicular, then their dot product must be zero.- If two vectors are orthogonal, then they must also be perpendicular.
What will be an ideal response?
Simplify the expression. Assume that all variables are positive when they appear.
- 
+ 
A. 4x
- 6
B. 5x
- 6
C. 5x
- 6
D. 5
- 