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Kiran drove from Tortula to Cactus, a distance of 288 mi. She increased her speed by 8 mi/h for the 392 mi trip from Cactus to Dry Junction. If the total trip took 13 h, what was her speed from Tortula to Cactus?
On a level track the car can just go round a bend (radius=80m) at 20ms^-1. At what angle must the tracked be banked so a speed of 30ms^-1 is reached (coefficient of friction being the same)?
The following second order Differential Equations must be solved with the appropriate Infinite Series Method. You may verify DE with other method only after work is shown step by step using the infinite series methods.
Find the eigenvalues and eigenvectors.
Differentiate between a function and a linear function. Describe the mathematical equation of a standard linear function. Describe how to compute the slope of a line.
Use rules of differentiation.
Convex Sets and Linear Transformations, Prove that the following sets are convex, where E stands for the sum symbol:
Find f'(x) using the appropriate rule and simplify to one expression with positive exponents. Find all values of x, using algebra, where f'(x)=0 (Write your answer with positive exponents)
Write and solve an equation to determine the selling price of the house. Jamie sold her house for x dollars. The real estate agent received a 5% commission and Jamie received $197,125.
Important information about Probability with dice, You roll a dice twice. What is the probability that you will roll each of the following pairs of numbers.
determine the stability of the critical point for both the linearized and nonlinear system using the linearization process (that is, explicitly writed own the linearized system at (1,1) and use the eigen values of the corresponding coefficient mat..
The prong of a tuning fork moves back and forth when it is set into vibration. The distance the prong moves between its extreme positions is 2.22 mm.
Statistical Testing for an Out-of-Control Process, A statistical process analyst is responsible for assuring statistical control. In one process, a machine is supposed to drop 11.4 ounces of mints into a bag.
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