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Vectors and scalar quantities: Consider an object traveling around the elliptical track. It's location is given by
r(t) = cos3ti + 5sin3tj where t is time.
a. Find the velocity and acceleration.
b. Find the speed and show that the maximum value of the speed is 15 and the minimum is 3. Specify the times at which the speed is maximum and the times that it is minimum for 0 ≤ t ≤ 3π/2.
c. Find the location, velocity and acceleration for the two values of time when the speed is maximum and the two values of time when it is minimum for 0 ≤ t ≤ 2π3? (Problem is not correct if these are written as scalars.)
Interpreting political Polling: A pollster surveys 200 people and asks them their preference of political party. He codes the responce as 0 1 2 3. He then calculates the average of the numbers and gets 0.95. How can that value be interpreted.
A local hamburger shop sold a combined total of 560 hamburgers and cheeseburgers on Monday. There were 60 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Monday?
Find the critical numbers of f. Find the open intervals on which the function is increasing or decreasing. Apply the First Derivative Test to identify the relative extremum.
An open valve allows water to leave at 4gal/hr. Set up a differential equation with initial condition to determine the amount of salt as function of time.
Find the rate at which water is draining from the tank after the following amounts of time. (Remember that the rate must be negative because the amount of water in the tank is decreasing.)
Describe the set of points whose distance from the y-axis equals the distance from the xz-plane. Find an equation for the set of points.
q1. show all workings.dont count the number of divisions. do not use asymptotic notation instead provide exact
What is the shadow price for the fiber constraint's RHS? Over what range of values is it valid?
Sketch the graph of the solid bounded by Z^2 = X^2 + 4Y^2 and the Plane Z = 1, and hence evaluate its volume by triple integration.
A new fashion in clothes is introduced. It spreads slowly through the population at first but then speeds up as more people become aware of it.
Describe at least five specific problem-solving strategies that these students can use to solve mathematics problems. For each strategy, give an example.
A sum of 64 is divided between Sita and Geeta such that 3times Sita’s share is greater than 4 times Gita’s share by Rs10.What are the shares of Sita and Gita.
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