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Question 1 Answer the following questions and show your work:
(a) Let f be a function f : Z → Z x Z such that f(n) = (2n, n + 3). Verify whether this function is 1-1 and whether it is onto.
(b) Let f be a function f : R3 → R such that f(x,y,z) = xyz. Verify whether this function is 1-1 and whether it is onto.
(c) Prove that the function f : R - {2} → R - {5} defined by f(x) = 5x + 1/x-2 is a bijection.
(d) Consider the functions f :R → R,g :R → R x R defined as f (x) = 1/x2+1 and g(x) = (3x,x2). Find the formulas for f o f and g o f.
Find the stationary points and linear approximating systems at each station
barney was charged $99 for 3 days and 300 miles, while mary was charged $175 for 5 days and 600 miles. what does best rental charge per day per mile?
Two-thirds of the people in a room are seated in three-fourths of the chairs. The rest of the people are standing. If there are 6 empty chairs, how many people are in the room?
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Convert the nonlinear, second order differential equation to the first order system and solve the differential equation
find the dimensions of the poster with the smallest area. Note: The answer to this problem requires that you enter the correct units.
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the farmer above can purchase two types of fertilizer. a 50lb bag of crescent fertilizer has 5 units of nitrogen 15
Angie's puppy weighed 3kg when she first got it. Two years later it weighed 9kg. How many grams of weight did the puppy gain.
Identify the shape of each face. Tell the number of congruent faces. Refers to standards 2.G.1 and 2.G.2 Use the sets below to answer the question. What rule did Ray use to sort the shapes above into two groups?
Describe two real-life examples where exponents are used either at home or on the job. For ideas, look in the textbook or online. Look around at home and at work to see what strikes you as being similar in your own life. What examples do you see?
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