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You are standing on a hotel balcony 30 feet up from the ground. You want to throw your key to someone standing outside the hotel on the ground. You throw it angled upward with an initial velocity of 55 ft/sec. Assume that the acceleration due to gravity is -32 ft/sec/sec.
Find the position function in terms of t.
Your friend misses catching the key, and it falls to the ground. How many seconds does it take to reach the ground?
Discrete Structure Assignment: - The Fibonacci numbers are defined as follows: f0 = 0, f1 = 1, and Fn = F n-1 + F n-2 for n >=2, Prove each of the following three claims:
Suppose that you purchased (randomly select) 3 laptops from a production run of 10 laptops. Of the 10 laptops, 9 are destined to last at least two years without needing a single repair
Let F be a field, let R be a ring with more than one element, and let phi:F->R be a surjective homomorphism.
T.J.'s market is a small local grocery store with only one checkout counter. Assume that the shoppers arrive at the checkout lane at an average rate of 15 customers per hour and that the average order takes 3 minutes to ring up and bag.
This assignment has two question related to maths. Questions are related to bifurcation cascade and logistic map.
Prove the given Φ is either a trival homomorphism or 1- 1.
What is the ratio of cranberry juice to apple juice?
We will take steps to find the tangent line to the graph of f at the general point (x,f(x)), and use it to find a tangent line with a specific property.
A graph is outerplanar if it can be embedded in the plane so that every vertex lies on the boundary of the exterior region. Prove the following:
The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $380 to drive 480 mi and in June it cost her $460 to drive 800 mi.
Show that the equation AX = B represents a linear system of two equations in two unknowns Solve the system and substitute into the matrix equation to check your results
Solve this model by using graphical analysis
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