work on his dams, he must be sure that you know some of the fundamental definitions

Chapter 12, Problem 5

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work on his dams, he must be sure that you know some of the fundamental definitions, theorems, and techniques of mathematics. He asks about these in 15.Mr. Rivera wants to be sure you know graphicaland numerical methods.a. Figure 12-10a shows the slope field forOn a copy of the figure, sketch theparticular solution containing (1, 8).Figure 12-10ab. Use Eulers method with x = 0.5 toestimate the value of y for the solution inpart a if x = 9. How does your answercompare with your graphical solution?You pass your preliminary tests and start towork on the dam project. At the dam site,Scorpion Gulch has a parabolic cross sectionwith a shape of graph y = 0.1x2, where xand y are in yards. The back face of the dam(where the water will be) is vertical and liesin the xy-plane (Figure 12-10b). The frontface slopes in such a way that the thickness is z = 30 yd at the bottom of the gulch(where y = 0) and z = 10 yd at the top of thedam. The dam is to be 40 yd high.Figure 12-10b