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# The graph in Figure 1-6c shows f(x) = 0.5x2 + 1.8x + 4 a. Plot the graph of f. Sketch ISBN: 9781559536547 285

## Solution for problem r4 Chapter 1-6

Calculus: Concepts and Applications | 2nd Edition

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Problem r4

The graph in Figure 1-6c shows f(x) = 0.5x2 + 1.8x + 4 a. Plot the graph of f. Sketch your results. Does your graph agree with Figure 1-6c? f(x)1 4Figure 1-6c b. Estimate the definite integral of f(x) withrespect to x from x = 1 to x = 4 by countingsquares.c. Estimate the integral in part b by drawingtrapezoids each 0.5 unit of x and summingtheir areas. Does the trapezoidal sumoverestimate the integral or underestimateit? How can you tell?d. Use your trapezoidal rule program toestimate the integral using 50 incrementsand 100 increments. How close do T50 andT100 come to 15, the exact value of theintegral? Do the trapezoidal sums seem tobe getting closer to 15 as the number ofincrements increases? Which concept ofcalculus is used to determine this?

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Injuries ….Are notaccidents…. 1 Injury:Any damage to bodydue to acute exposure to amounts of energythat exceedindividual’s tolerance forsuch energy,ordue to absenceof suchessentialsas heat oroxygen Types ofenergy  thermal,  mechanical (kinetic orpotential)  electrical,  chemical energy Injuries occur...

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