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Q: 1. Determine the following: 2 x7 + (2x (2x + 3)a| dx С. 5x3 d. S[sin(3x) – 7e-2*]dx
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answer (c) and (d)
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- Tsunami Waves and BreakwatersThis is a continuation of Exercise 16. Breakwaters affect wave height by reducing energy. See Figure 5.30. If a tsunami wave of height H in a channel of width W encounters a breakwater that narrows the channel to a width w, then the height h of the wave beyond the breakwater is given by h=HR0.5, where R is the width ratio R=w/W. a. Suppose a wave of height 8 feet in a channel of width 5000feet encounters a breakwater that narrows the channel to 3000feet. What is the height of the wave beyond the breakwater? b. If a channel width is cut in half by a breakwater, what is the effect on wave height? 16. Height of Tsunami WavesWhen waves generated by tsunamis approach shore, the height of the waves generally increases. Understanding the factors that contribute to this increase can aid in controlling potential damage to areas at risk. Greens law tells how water depth affects the height of a tsunami wave. If a tsunami wave has height H at an ocean depth D, and the wave travels to a location with water depth d, then the new height h of the wave is given by h=HR0.25, where R is the water depth ratio given by R=D/d. a. Calculate the height of a tsunami wave in water 25feet deep if its height is 3feet at its point of origin in water 15,000feet deep. b. If water depth decreases by half, the depth ratio R is doubled. How is the height of the tsunami wave affected?my question is: If one earthquake has a magnitude of 5 on the Richter scale and a second earthquake has a magnitude of 6, what is the relationship between the intensities of the two earthquakes?please send handwritten solution for part d e f
- The price-demand and cost functions for the production of microwaves are given asFind the number of years of ownership for which the cost of Ben (Problem attached) of owning Model A equals the cost of owning Model B.Find the number of units x that produces the minimum average cost per unit C in the given equation. C = 0.001x3 + 2x + 2
- Question 1(a) The cost of producing 5-gallon water bottles is given byC(q) = 0.005q? + 2q + 1000.If 2000 5-gallon water bottles are produced, find the(i) total cost(ii) average cost(iii) marginal cost(iv) marginal average costFind the number of units x that produces a maximum revenue R in the given equation.Task 1: Concerned with the number of maintenance visits the rocket can undergo before being out of service, you have been informed that the recent statics show a that after the first journey to the outer space, the rocket was sent to service once, and after that the number of maintenance visits increase by 1 after every journey, for instance, after the second journey, the rocket had to go to service twice before being re-used, three-times after the 3rd use and so on. A. Generate a rule for the number of visits to the maintenance department with respect to space journeys, is this rule arithmetic or geometric. B. How many journeys will it take to for the number of service visits after a certain journey exceed 10? C. The rocket is not to be re-used again if the total number of maintenance visits exceed 50, then how many journeys will a single rocket serve before being out of service? While testing the path of the rocket while ascending towards the space, it was found that the rocket rises…
- Task 1: Concerned with the number of maintenance visits the rocket can undergo before being out of service, you have been informed that the recent statics show a that after the first journey to the outer space, the rocket was sent to service once, and after that the number of maintenance visits increase by 1 after every journey, for instance, after the second journey, the rocket had to go to service twice before being re-used, three-times after the 3rd use and so on. A. Generate a rule for the number of visits to the maintenance department with respect to space journeys, is this rule arithmetic or geometric. B. How many journeys will it take to for the number of service visits after a certain journey exceed 10? C. The rocket is not to be re-used again if the total number of maintenance visits exceed 50, then how many journeys will a single rocket serve before being out of service? While testing the path of the rocket while ascending towards the space, it was found that the rocket rises…A swimming pool is 20 m long and 10 m wide, with a bottom that slopes uniformly from a depth of 1 m at one end to a depth of 2 m at the other end. How much work (to 4 significant figures) is required to fill the pool to a maximum depth of 2 meters by pumping water up from the bottom pool (Water is 1000kg/m3 and g = 9.8 m/s2). Note: this problem must be done in two parts-the slanted and the top part.a crane lifts a 1000 lb science desk to a height of 20 ft using a chain that weighs 2 lb/ft. If the crane arm is at a height of 50 ft find the work required. Also, would the chain be the only part integrated since it is changing and the desk remains constant?