Sketch a graph to represent the situation described.Janice jogged twice around a circular race track, which took her 4 minutes, then jogged to the center of the track and rested for 4 minutes before walking home slowly at a constant rate, which took her 12 minutes. Sketch a graph of her distance from the center of the race track as a function of time. Assume that the route she takes home is a straight line from the center of the race track.
A.
B.
C.
D.
Answer: D
Mathematics
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Use an identity to write the expression as a single trigonometric function or as a single number.1 - 2 sin210°
A. cos 5° B. cos 20° C. sin 5° D. 2 sin 20°
Mathematics
Find all the second partial derivatives.f(x, y) = xy2 + yex2 + 5
A. = 2yex2;
= 2x;
=
= 2xex2
B. = 2yex2;
= 2x;
=
= 2y + 2xex2
C. = yex2(1 + 2x2);
= x;
=
= y + xex2
D. = 2yex2(1 + 2x2);
= 2x;
=
= 2y + 2xex2
Mathematics
Solve the right triangle for all missing sides and angles to the nearest tenth.c = 14B = 27.6°
A. A = 62.4°, a = 12.4, b = 7.3 B. A = 62.4°, a = 12.4, b = 6.5 C. A = 62.4°, a = 7.3, b = 6.5 D. A = 62.4°, a = 6.5, b = 12.4
Mathematics
Evaluate or simplify the exponential expression.-5-3
A. -125
B.
C. 125
D. -
Mathematics