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For each equation, determine what type of number the solutions are and how many solutions exist. x^…
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Find the vertex of the graph of each quadratic function. Determine whether the graph opens upward o…
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Evaluate each polynomial for x=2 and y=-3. x^2+2 x y+y^2
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AB contains midpoint M and points C and D, as shown. Compare the lengths. If you cannot draw a conc…
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A phone company charges for service according to the formula: C(n)=24+0.1 n , where n is the number…
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Exer. 23-34 : Sketch the graph of the circle or semicircle. x=-√(25)-y^2
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Exercises 79–81 will help you prepare for the material covered in the next section. Solve: x^2+4 …
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Use Appendix C to calculate [H_2 S],[HS^-…̊
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Factor. n^3+1
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Find the following products. [[ -3 2 ]][[ 4… ]
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Find the distance on a real number line between the points whose coordinates are -2 and 5 .[1.1]
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Using the ε-δDefinition of Limit In Exercises 37-48 , find the limit L . Then use t…
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Make a hand-drawn graph. Be sure to label all the asymptotes. List the domain and the x -intercepts…
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In Exercises 7-14, use the Power Rule to compute the derivative. d/d t.t^2 / 3…
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Fill in the blanks. The _______ _________ of the complex number z=a+b i is z=r(cosθ+i sin
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Simplify the powers of i. i^7
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In Exercises 1-6, find the domain and range of each function. F(t)=1/1+√(t)
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Perform the indicated operation, and write each expression in the standard form a+b i. 6-i/1…
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Find f(g(x)) and g(f(x)) and determine whether each pair of functions f and g are inverses of each …
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Write an equation that expresses each relationship. Then solve the equation for y. x varies jointly…
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Convert each radian measure to degrees. Round to the nearest tenth. θ=17 π/36
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As a result of preservation efforts in most countries in which whaling was common, the humpback wha…
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In a circle of radius "R", a square is inscribed. In this, a circle is inscribed, and in this circl…
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Add or subtract as indicated. Write the answers in descending order, if possible. 5-[2 m^2-
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Determine the multiplicities of the real zeros of the function. Comment on the behavior of the grap…
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Complete each factored form. See Examples I through 5, and 8 through 10 . 2 y^2+27 y+25=(2 y+25)(…
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For the pair of functions defined, find f+g, f-g, f g, and f/8 . Give the domain of each. S…
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Explain, in your own words, how to subtract two negative numbers.
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(2 x+3)(3 x^2-4 x+2)
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In Exercises 41-58, find d y / d t y=(1+cos2 t)^-4
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Child Support The amounts f(t) (in billions of dollars) of child support collected in the United St…
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Use A=P(1+r)^t to find the interest rate. Refer to Example 12 . 6250 dollars grows to 7290 dollar…
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Find the first term and the common difference of the arithmetic sequence described. Give a recursiv…
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Simplify each expression. See Examples 7 and 8 . t+(-t)+1/2(2)
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Factor completely. 12 c^3+15 c^2-18 c
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Rationalize the denominator of each expression. Assume all variables represent positive real number…
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In Exercises 1-26, find the indefinite integral. ∫x^3-3 x^2+5/x-3 d x
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For each pair of functions, find f ∘g and g ∘f, if they exist. [ f={(1,2)… ]
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In Exercises 1-6, show that B is the inverse of A A=[[ 2 1; 5 3… ]
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Make Sense? In Exercises 110–113, determine whether each statement makes sense or does not make sen…
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Round each number to the nearest whole number. 2.8
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Find any points of discontinuity for each rational function. y=2 x^2+5/x^2-2 x
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In Exercises 1-10, graph the given functions, f and g,in the same rectangular coordinate system. Se…
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What subset of the real numbers would you use to describe the populations of several cities?
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Sketch the graph of the equation. y=|| x|-1|
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For the rectangular parking area of the shopping center shown, which one of the following equations…
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Use a substitution to change the integral into one you can find in the table. Then evaluate the int…
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Transportation energy is costly. Calculate the gallons of gas use just for going to the supermarket…
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Write each formula using the "language" of variation. For example, the formula for the circumferenc…
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The table shows the number of sports films created with different themes. Which theme occurs %s/%s…
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Find the exact value of each expression. If the expression is undefined, write undefined. 60^…
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Solve each equation. w^2+7 w+12=0
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Rewrite each expression using the distributive property. Simplify if possible. 4(t-5)
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In Exercises 112–123, use the strategy for solving word problems, modeling the verbal conditions of…
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Factor completely. See Examples 1 through 9 . 125 x^3+8 y^3
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Use the average rate to show the following: (a) |sin(x) - sin(y)| ≤ |x - y| for all x, y ∈ R. (…
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In Exercises 5–18, sketch the graph of the inequality. y5-x^2
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If f(x)=2 x^3+A x^2+4 x-5 and f(2)=5, what is the value of A ?
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If the function is one-to-one, find its inverse. {(-1,3),(2,7),(4,3),(5,8)}
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Use the graphs of the arithmetic sequences {a_n} and [b_n] to. Find a_…
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