1. Refer to Fig. 16.3.5, a computer-generated graph 3x-3x)/(1 + y^). Where are the maxi Figure 16.3.5. Computer- generated graph of := (x- 3x)/(1+ y3). (a) Coordinate grid lifted to the graph. X-AXIS X-RXI5 (b) Level curves lifted to the graph. mum and points?
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- A particle moves along the top of the parabola y2 = 2x from left to right at a constant speed of 5 units per second. Find the velocity of the particle as it moves through the point (2, 2).A particle moves along a hyperbola xy=8. When it passes through a point (2,4), its x-coordinate increases at a rate of 3cm/s. How is the distance from the particle to the origin changing at this moment?According to the Old Farmer’s Almanac, in Anchorage, Alaska, the number of hours of sunlight on the summer solstice of 2010 was 19.42 and the number of hours of sunlight on the winter solstice was 5.48. (a) Find a sinusoidal function of the form y=Asin(ωx- ϕ)+B that models the data. (b) Use the function found in part (a) to predict the number of hours of sunlight on April 1,the 91st day of the year. (c) Draw a graph of the function found in part (a). *(d) Look up the number of hours of sunlight for April 1 in the Old Farmer’s Almanac,and compare the actual hours of daylight to the results found in part (c).
- Solve for y2 by using reduction of order And for nonhomogeneous using undetermined coefficients linear mathematicsPlease help with last question of cost of periodic pointssuppose that the length of time between consecutive high tides is 12 hours and 26 mins. on a particular day the high tide occurred at 12:26 am (0.43 hours) and the low tide occurred at 7:07 (7.12 hours). Water heights are measured as the amounts above or below the mean lower low water. The height of the water at high tide was 5.94 feet and the height of the water at low tide was 0.04 feet. The next high tide will occur at 12:52pm. Find the sinusoidal function of the form of sin
- 1. Person A runs around a circular track of radius 100m at a constant speed of 8m/s. Person B is standing at a distance 200 m from the center of the track. How fast is the distance between Person A and Person B changing when the distance between them is 200 m?In a city the number of hours of sunlight on the summer solstice of 2015 was 18.42, and the number if hours of sunlight on the winter solstice was 5.44. (Hint: the summer solstice occurs on the 172nd day of the year and there are 365 days until the next one.) Find a sinusoidal function of the form y = Asin that models the data. y = ___sin (___x - ___) + ___1. A particle is moving along a hyperbola xy = 8. As it reaches the point(4, 2), the y−coordinate is decreasing at a rate of 3cm/s. How fast the x−coordinate of the point changing at that instant? 2. The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm2/min. At what rate is the base of the triangle changing when the altitude is 10 cm and the area is 100 cm2?
- I know how to use newton's method but unfortunately I don't know how to find the absolute minimum using the newton's method for this question here.Did you know that out from the rotation of a Ferris wheel a graph of either sine or cosine function is formed? Amazing right?! This is due to the shape of the said ride as compared to a unit circle. Assume that you were riding on the biggest Ferris wheel in the Philippines – known as the Pampanga eye. As you enter on its gondola at the base, the minimum point of the graph of the said functions above is already represented and the maximum point of the graph is located when you have reached the top of the wheel. Whereas, the period or one complete cycle of the graph is attained when you reach at the base again. Your task this time is to sketch the graph of a circular function based on the movement of a Ferris wheel, determine its amplitude and period, and illustrate its domain and range. Now, let’s get started! From riding the Ferris wheel, you observe the following: (1) The gondola is 2 meters off the ground; (2) The top portion of the wheel is 60 meters from the gondola at the base (3)…