
Heaviside Function The Heaviside function
is widely used in engineering applications. (See figure.) To print an enlarged copy of the graph, go to
Sketch the graph of each function by hand.

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Chapter 2 Solutions
College Algebra Real Mathematics Real People Edition 7
- Consider the table of values below. x y 2 63 3 70 4 77 5 84 Fill in the right side of the equation y= with an expression that makes each ordered pari (x,y) in the table a solution to the equation.arrow_forwardThere were 426 books sold in one week. The number of biology books sold was 5 times that of the number of psychology books. How many books each were sold?arrow_forwardPopulation decreases 5% each year. Starts with a starting population of 3705. Find that population after 5 years.arrow_forward
- solve using substitution -2x-3y=-15 -3x+9y=12arrow_forwardSuppose that 7000 is placed in an accout that pays 4% interest. Interest compunds each year. Assume that no withdraws are made. How much would the account have after 1 year? And how much would the account have after 2 years?arrow_forwardUse substitution to solve the equations -2x+5y=18 x=2y-8arrow_forward
- 5) For each function represented by an equation, make a table and plot the corresponding points to sketch the graph of the function. (a) y = 75 ()* 220 X y 200- -2 180 160 -1 140 0 120 100 1 60 80 2 3 4 x (b) y = 20 ()* 1 60 40 20 20 0 2 3 65- -1 X y 60 -2 55- 50 45 44 40 0 35- 30 1 25 2 20 20 15 3 10 5 LO 4 3-2 T -1 0 5- 4- -3- 2-arrow_forwardA system of inequalities is shown. y 5 3 2 1 X -5 -4 -3 -2 -1 0 1 2 3 4 5 -1- Which system is represented in the graph? Oy>-x²-x+1 y 2x²+3 -2 -3 тarrow_forwardWhich set of systems of equations represents the solution to the graph? -5 -4 -3 -2 Of(x) = x² + 2x + 1 g(x) = x²+1 f(x) = x²+2x+1 g(x) = x²-1 f(x) = −x² + 2x + 1 g(x) = x²+1 f(x) = x² + 2x + 1 g(x) = x²-1 -1 5 y 4 3 2 1 0 -1- -2 -3- -4. -5 1 2 3 4 5arrow_forward
- Which of the graphs below correctly solves for x in the equation -x² - 3x-1=-x-4? о 10 8 (0,2) -10 -8 -6 -2 2 4 6 8 10 (-4,-2) -2 + (0,2) (4,6) -10-8-6-4-2 -2 2 4 6 8 10 (-3, -1) -2 2 (1-5) -6 -8 -10 10 -10-8-6-4-2 2 6 8 10 (2,0)arrow_forward1) Express these large and small numbers from the Read and Study section in scientific notation: (a) 239,000 miles (b) 3,800,000,000,000 sheets of paper (c) 0.0000000000000000000000167 grams 2) Find all values for the variable x that make these equations true. (a) 5x = 1 (b) 3x = 1/1 9 (c) 4* = 11/ 4 (e) 4* = 64 (g) 10x = 1,000,000 (d) 3x=-3 (f) 2x = = 8 (h) 10x = 0.001arrow_forward(b) 4) Find an equation to fit each of the following graphs: (a) 20 20 18 16 14 12 10 8 6 4 2 24 22 20 18 16 14 12 10 8 16 A 2 -3 -2 -1-0 2 3 4. -1 0 1 2 3. -2 -2arrow_forward
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