Summative Assignment Due Tomorrow!

Q1. A glass crystal sculpture is made in the shape of a regular octagonal prism with 10 cm sides. Each of the lateral faces is square. To avoid breakage in shipment, the piece is padded with plastic foam beads when it is packed in its square-based rectangular box. The layer of beads must be at least 1 cm thick on all sides of the glass including the top and bottom. a) What is the minimum volume of beads required to protect the piece? b) If the object was packed in a cylindrical container instead of a rectangular box, how would the minimum volume of beads change? Q2. During a portage, the leader of a scout troop decided to save time by hiking around a wooded area between the base cam... click for more

Multipath object determination

deterministic solution for defining the position of a reflective object where the direct path and reflective path are known and the angle between the object and the receiver are also known.

Equation Development

tanh(a+b)={[sinh(a)cos(b)+jcosh(a)sin(b)]/[cosh(a)cos(b)+jsinh(a)sin(b)]} .....................(1) Which is equal to.. tanh(a+b)={[sinh(a)cosh(a)+jsin(b)cos(b)]/[cosh^2(a)cos^2(b)+sinh^2(a)sin^ 2(b)]} ......................(2) Th problem i have is that i cannot attain Eq(2) from Eq(1). Here is some of my working... I have taken Equation(1) and mulitplied it by the complex conjugate of the denominator.... tanh(a+b)={[sinh(a)cos(b)+jcosh(a)sin(b)]/[cosh(a)cos(b)+jsinh(a)sin(b)]} * {[cosh(a)cos(b)-jsinh(a)sin(b)]/[cosh(a)cos(b)-jsinh(a)sin(b)]} From that, i get.. tanh(a+b)={[sinh(a)cosh(a)cos^2(b)+sinh(a)cosh(a)sin^2(b)+jsin(b)cos(b)*(c osh^2(a)-sinh^2(a))]/[cosh^2(... click for more

Hyperbolic functions

Please see attached doc....

Vectors

an aircraft is going from destination A to B on a bearing of North 111 degrees East is traveling at a speed o 430 miles per hour.The wind is blowing out of the north to south at a speed o 25 miles per hour. What is the ground speed in miles per hour and the planes true bearing?