Precalculus Functions and Graphs 12th. Edition by Earl W. Swokowski, Jeffery A. Cole | 9780840068576 | 0840068573 | Holooly

Precalculus Functions and Graphs

668 SOLVED PROBLEMS

Question: 8.3.9

Graph the inequality 27y³ ≤ 8+x³. ...

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We must first solve the associated equality for y:...

Question: 8.5.2

Solve the system {x-2y+3z= 4 2x+y-4z=3 -3x+4y-z= -2 ...

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We begin with the matrix of the system—that is, wi...

Question: 2.4.10

Let f(x)=x^2/3-3. (a) Find f(-2). (b) Sketch the graph of f. (c) State the domain and range of f. (d) State the intervals on which f is increasing or is decreasing. (e) Estimate the x-intercepts of the graph to one-decimal-place accuracy. ...

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(a) Shown to the right are four representations of...

Question: 2.5.9

Sketch the graph of the function f if f(x)= 2x+5 if x ≤-1 x² if |x|<1 2 if x ≥1 ...

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We begin by making the assignment

Y_1=(\und...

Question: 2.5.13

Estimate the solutions of |0.14x²-13.72|>|0.58x|+11 ...

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latexTo solve the inequality, we make the assignme...

Question: 2.6.7

Find the vertex of the parabola y=f(x)=-2x²-12x-13. ...

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Since the coefficient of x² is -2 and -2<0, the...

Question: 2.6.9

A projectile is fired vertically upward from a height of 600 feet above the ground. Its height h(t) in feet above the ground after t seconds is given by h(t)=-16t²+803t+600 (a) Determine a reasonable viewing rectangle that includes all pertinent features of the graph of h. (b) Estimate when the ...

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(a) The graph of h is a parabola that opens downwa...

Question: 2.6.8

A long rectangular sheet of metal, 12 inches wide, is to be made into a r gutter by turning up two sides so that they are perpendicular to the sheet. many inches should be turned up to give the gutter its greatest capacity? ...

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The gutter is illustrated in Figure 9. If x denote...

Question: 2.7.1

If f(x)=3x-2 and g(x)=x³, find (f+g)(2),(f-g)(2),(fg)(2), and (f/g)(2) ...

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\begin{aligned}&\text {Since} f(2)=3(2)...

Question: 2.7.2

If f(x)=√4-x² and g(x)=3x+1, find (f+g)(x),(f-g)(x),(fg)(x), and (f/g)(x), and state the domains of the respective functions. ...

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The domain of f is the closed interval [-2, 2], an...

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