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Find the volume of the solid formed by rotating the region inside the first quadrant enclosed by y = x^2 , y = 3x about the x-axis
A number is divisible by 2 if the last digit is divisible by 2. A number is divisible by 4 if the last two digits form a number divisible by 4. A number is divisible by 8 if the last three digits for a number divisible by 8.
Two chemicals A and B are combined to form a chemical C. The rate of the reaction is proportional to the product of the instantaneous amounts of A and B not converted to chemical C.
Let v1 and v2 be vectors in R^n. Show that (prove) the set of all vectors w, an element of R^n such that w is orthogonal to both v1 and v2, is a subspace of R^n.
For each of the following sequences a0, a1, a2, . . . , determine a closed form for the generating series A(x) = a0 + a1x + a2x2 + · ·
Think about your own experiences with both effective and ineffective communication, and select one (1) example of each to analyze.
Explain the purposes of inductive and deductive reasoning in mathematics. Be sure to define both inductive reasoning and deductive reasoning and describe how each can help you develop and prove theorems.
Discuss the relationship between the sum of the probabilities in a probability distribution and the total area represented by the bars in a probability histogram
Find the cash discount on an invoice for $270 dated April 17 with terms of 2/10, n/30 if the bill was paid April 22.
Using compound interest rate of 6% p.a, calculate the total cost of one years tuition 6 years and 3 months from now, compounding, semi annually.
You are tasked with choosing a corporation and discussing the importance of ethics and social responsibility in relation to that particular corporation.
1. Solve the eqaution, giving the exact solution which lie in [0,2p)
Based on you answers to parts a and c, how convinced are you that the new 30-gallon trash bag is the strongest such bag on the market?
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