Concept explainers
Short answer exercises: Exercises 1-14 focus on the basic ideas, definitions, and vocabulary of this chapter. Their answers are short (a single sentence or drawing), and you should be able to do them with little or no computation. However, they vary in difficulty, so think carefully before you answer.
13. Sketch the solution curve for the initial-value problem
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Differential Equations
- When the shot whose path is shown by the red graph on the previous page is released at an angle of 65°, its height, g(x), in feet, can be modeled byg(x) =-0.04x2+2.1x+6.1,where x is the shot’s horizontal distance, in feet, from its point of release. Use this model to solve parts (a) through (c) and verify your answers using the red graph.a. What is the maximum height, to the nearest tenth of a foot, of the shot and how far from its point of release does this occur?b. What is the shot’s maximum horizontal distance, to the nearest tenth of a foot, or the distance of the throw?c. From what height was the shot released?arrow_forwardQ3-Please help me with this problem and needed all parts to be answered please, will be highly appreciated.arrow_forward3. Sketch the graph of the solution of x(1) = -2.arrow_forward
- Answer #1, all steps for the problem, please. Show work. Thank you!arrow_forwardSolve Q14,(i) & (ii) showing clearly all steps involvedarrow_forwardSolve the simultaneous equations y = 1 + 3x - x2 and y = 3 – x graphically. Plot your graphs for -1arrow_forwardA trough is 9 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of y=x8y=x8 from x=−1x=-1 to x=1x=1 . The trough is full of water. Find the amount of work in foot-pounds required to empty the trough by pumping the water over the top. Note: In this problem, use 62 pounds per cubic foot as the weight of water.arrow_forwardThe cost of controlling emissions at a firm rises rapidly as the amount of emissions reduced increases. Here is a possible model: The daily cost in dollars to reduce emissions by q pounds of pollutant in a day is given by C(q) = 4,100 + 96q?. (a) What is the average daily cost per pound when emissions are reduced by g pounds in a day? C(q)= (b) What level of reduction corresponds to the lowest average daily cost per pound of pollutant? (Round your answer to two decimal places.) pounds of pollutant What would be the resulting minimum average daily cost per pound? (round to the nearest dollar) dollars Second derivative test: Your answer above is a critical point for the average daily cost function. To show it is a minimum, calculate the second derivative of the average daily cost function. C"(q)=arrow_forward1. Find two roots of the equation f(x) Iteration. = 2x³ -7x+2. Use Fixed pointarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill