Solve the problem. Give the answer to the nearest thousandth if necessary.The diagram below shows a rope connecting the top of a pole to the ground. The rope is 16 yd long and touches the ground 13 yd from the pole. How tall is the pole? 
A. 9.327 yd
B. 14.5 yd
C. 43.5 yd
D. 4.664 yd
Answer: A
Mathematics
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For the smooth curve r(t), find the parametric equations for the line that is tangent to r at the given parameter value 
r(t) = (3 sin t)i - (8 cos 3t)j +e-7tk ; to = 0
A. x = 3, y = -8t, z = -7 + t B. x = 3t, y = -8, z = 1 - t C. x = 3t, y = 8, z = 1 + t D. x = 3t, y = -8, z = 1 - 7t
Mathematics
Find the inverse of the following one-to-one function.f(x) = 7x - 4
A. f-1(x) = 
B. f-1(x) = 
+ 4
C. f-1(x) = 
D. Not invertible
Mathematics
Find the derivative of the function.y = 
A. 
B. 
C. 
D. 
Mathematics
Find all cube roots of the complex number. Leave answers in trigonometric form.125
A. 5 cis 90°, 5 cis 210°, 5 cis 330° B. 5 cis 0°, 5 cis 60°, 5 cis 120° C. 5 cis 45°, 5 cis 165°, 5 cis 325° D. 5 cis 0°, 5 cis 120°, 5 cis 240°
Mathematics