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1. What is an Arithmetic Sequence? Give a good example.
2. Define the general term in arithmetic Sequence and refer its Key ingredients.
3. Write a formula for the general term (the nth term) of the arithmetic sequence whose second term, a2, is 4 and whose sixth term, a6, is 16.
4. Write a formula for the general term (the nth term) of the arithmetic sequence whose third term, a3, is 7 and whose eighth term, a8, is 17.
(What formula do we use to solve the above two problems)
Describe the famous Königsberg bridge problem and explain how to rephrase it in terms of an Euler circuit.
If we built a new bridge in K¨onigsberg between the Island and the top and bottom banks of the river, could we take a walk that crosses all the bridges and uses none twice? Either explain where could we start and end in that case or why we couldn'..
Find the value of theta that maximizes g(theta) and find the maximum value. Write the directional derivative at P as a function of theta; call this function g(theta).
question sam and martha are local names for two lighthouses. sam blinks every 12 seconds martha every 8 seconds. they
The birthday to use is January 4th 1984. Then verbally describe the steps it took to evaluate the expressions. Use terms exponent integer variable lowest terms and divisor
Complete an in-depth analysis of the Railway Labor Act (RLA), including its amendments, judicial interpretations, and administrative law. Having studied the RLA over the past few weeks, you will now tie it together with what you have learned about..
A Norman window consists of a rectangle surmounted by a semicircle. The window has rectangular portion of the window has width 4" and height 6". (a) Find the area of the window. (b) How much wood trim is needed to boarder the window?
Which other x-values can give the maximum and minimum values of f(x)? List them in increasing order in the format in the format (x1,x2,...,xn), for example (1,2,3)?
Pasta comes with tomato sauce and can be ordered with some , all, or none of these ingredients in the sauce: {onions, garlic, carrots, broccoli,shrimp, mushrooms, zucchini, green pepper}.
Find the limit limx→∞(1+ (2/x))x. More generally, find the limit limx→∞(b+(a/x))x where a is a real number and b is a positive real number
Increasing and decreasing intervals.
Find the second derivative of f(x)=([d]x+[b])4 and evaluate it at x=3. Find the equation of the line tangent to the following curve at x = 1. Write your answer in y = mx + b format.
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