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Question: (a) An object moves along the path x = 3t and y = cos(2t), where t is time. Write the equation for the line tangent to this path at t = π/3.
(b) Find the smallest positive value of t for which the y-coordinate is a local maximum.
(c) Find d2y/dx2 when t = 2. What does this tell you about the concavity of the graph at t = 2?
Let P be a polyhedron with at least one extreme point. Is it possible to express an arbitrary element of P as a convex combination of its extreme points plus a nonnegative multiple of a single extreme ray?
You have just graduated from LUMS with a very respectable CGPA and are now applying for jobs. Suppose you have 10 copies of your CV, each customized for a particular job description.
A thermometer reading 8°C is brought into a room with a constant temperature of 20°C. If the thermometer reads 18°C after 5 minutes, what will it read after being in the room for 7 minutes? Assume the cooling follows Newton's Law of Cooling: U = T..
james buys a share at $53.41 on Monday, which gaines $1.35 on tuesday, loese $2.10 on Wednesday, and gains $4.65 on Thursday. What is James man daily profit or loss?
Two mechanics worked on a car. The first mechanic worked for 15 hours, and the second mechanic worked for 5 hours. Together they charged a total of 2100 . What was the rate charged per hour by each mechanic if the sum of the two rates was 190 per ..
calculate the length of the perppendicular from a poit p on the curve defined by ax y2 byz2 to the xz plane where the
Where did the 2.65 come from? Almost all calculators will calculate the value of a number raised to a power. If you don't know how to do it on your calculator, get out the instruction book. Or find a scientific calculator online -- there are plent..
A box is made from a sheet of metal that is 8 meters by 10 meters, by removing a square from each corner of the sheet and folding up the sides. Find the width of the square to removed in order to have a box of maximum volume.
simon donated 750000 to the junior idol hopefuls to fund a perpetuity of five annual bursaries for students of the
a woman 6 feet tall walks at a constant rate of 5 feet per second away from a light that is 15 ft. above the ground.
MTH 279 ASSIGNMENT. Find the indicial equation and the two indicial roots you obtain by beginning the method of Frobenius on the differential equation
What are the penalties and implications if such roles aren't followed? Are there unwritten rules of good practice firms and bloggers should consider as well? What might those be?
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