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The population per square mile x miles east and y miles north of the center of...
1. A car travels 30 miles north, then 10 miles east. The displacement vector is X...
1. A car travels 30 miles north, then 10 miles east. The displacement vector is X miles north, Y miles east. A) What is X? B) What is Y? 2. A car travels 30 miles north, then 10 miles east, then 20 miles west, then 2 miles south. The displacement vector is X miles north, Y miles east. A) What is X? B) What is Y? (beware of signs) 3. A car travels 30 miles northwest. The displacement vector is...
A plane flies at a constant groundspeed of 428 miles per hour due east and encounters a 36-mile-per-hour wind from the northwest. Find the airspeed and compass direction that will allow the plane to m...
A plane flies at a constant groundspeed of 428 miles per hour due east and encounters a 36-mile-per-hour wind from the northwest. Find the airspeed and compass direction that will allow the plane to maintain its groundspeed and eastward direction. (Round your answers to two decimal places.) speed mph direction ° north of east
4.4. A semi circular city with radius 5 miles borders the ocean. The center of the region is a se...
4.4. A semi circular city with radius 5 miles borders the ocean. The center of the region is a semi circular bay with radius 1 mile. (See figure) the price of housing at location Pin the a. Suppose city depends linearly on docet, the distance of P to the ocean (not the bay): at 5 miles housing costs $100 /sqft, while - ocean front property goes for $2000/sqft. Compute the average price of housing in the city. (Hint: Sketch price...
We have to take slices of the population that are perpendicular to the "river" in the middle. exa...
We have to take slices of the population that are
perpendicular to the "river" in the middle. example is drawn.
of 6 miles with a river flowing in a straight line through the center of town. The people of Round River prefer to live close to the river, so the population density at any point in town is given by the formula p(d) 400(3 - d) people per square mile, where d is the distance to the river measured in...
The dataset below represents the population density per square mile of land area in 15 states...
The dataset below represents the population density per square mile of land area in 15 states in the 2010 U.S. Census. What is the interquartile range? 1,19,35,43,49,55,63,94,105,110,175,231,239,351,738
6. Let x represent the area of an island (in square miles) and y be the...
6. Let x represent the area of an island (in square miles) and y be the number of species of birds found on that island. Suppose x and y are related by y = ax" (allometrically). The first island has an area of 20 square miles and 10 species of birds. The second island has an area of 50 square miles and 14 species of birds. Given this information, find b.
Function s/x)- 3600 ' gives a person's average speed in miles per hour if he or she travels one m...
function s/x)- 3600 ' gives a person's average speed in miles per hour if he or she travels one mile in The function s(x) = 60 + 04r 3600 (60+x) gives a person's average speed in miles per hour if he or she travels one mile in 3600(60 + x) x seconds more or less than 60 seconds. Use a linear approximation to s at 0 to find a person's approximate average speed if he or she travels one mile...
2. Determine the center of mass of each region below given the variable density (a) The square wi...
Please help solve the following with steps. Thank you!
2. Determine the center of mass of each region below given the variable density (a) The square with vertices (0, 0), (0,1), (1,1), and (1,0) with ρ(x,y) = 1 + 0.5x (b) The uper half of the disk of radius 4 with p(x, y) 12 y2.
2. Determine the center of mass of each region below given the variable density (a) The square with vertices (0, 0), (0,1), (1,1), and (1,0)...
Scientists studying a population of wolves (y), and a population of rabbits (x) on which the...
Scientists studying a population of wolves (y), and a population of rabbits (x) on which the wolves depend for food, have found the sizes x and y of these populations to be modeled well by the equation 4 Iny -0.02y +3 In x -0.001x = 37.37 P(5000,300) wolves [The equation is graphed at right. Point P(x, y) moves around the curve in the direction shown as x and y variously increase and decrease in what is known as a predator-prey...
Find the center of mass of the region bounded by the curve y=1/x and the x-axis...
Find the center of mass of the region bounded by the curve y=1/x and the x-axis over the interval (1,∞).
1. A car travels 30 miles north, then 10 miles east. The displacement vector is X miles north, Y miles east. A) What is X? B) What is Y? 2. A car travels 30 miles north, then 10 miles east, then 20 miles west, then 2 miles south. The displacement vector is X miles north, Y miles east. A) What is X? B) What is Y? (beware of signs) 3. A car travels 30 miles northwest. The displacement vector is...
4.4. A semi circular city with radius 5 miles borders the ocean. The center of the region is a semi circular bay with radius 1 mile. (See figure) the price of housing at location Pin the a. Suppose city depends linearly on docet, the distance of P to the ocean (not the bay): at 5 miles housing costs $100 /sqft, while - ocean front property goes for $2000/sqft. Compute the average price of housing in the city. (Hint: Sketch price...
We have to take slices of the population that are
perpendicular to the "river" in the middle. example is drawn.
of 6 miles with a river flowing in a straight line through the center of town. The people of Round River prefer to live close to the river, so the population density at any point in town is given by the formula p(d) 400(3 - d) people per square mile, where d is the distance to the river measured in...
6. Let x represent the area of an island (in square miles) and y be the number of species of birds found on that island. Suppose x and y are related by y = ax" (allometrically). The first island has an area of 20 square miles and 10 species of birds. The second island has an area of 50 square miles and 14 species of birds. Given this information, find b.
function s/x)- 3600 ' gives a person's average speed in miles per hour if he or she travels one mile in The function s(x) = 60 + 04r 3600 (60+x) gives a person's average speed in miles per hour if he or she travels one mile in 3600(60 + x) x seconds more or less than 60 seconds. Use a linear approximation to s at 0 to find a person's approximate average speed if he or she travels one mile...
Please help solve the following with steps. Thank you!
2. Determine the center of mass of each region below given the variable density (a) The square with vertices (0, 0), (0,1), (1,1), and (1,0) with ρ(x,y) = 1 + 0.5x (b) The uper half of the disk of radius 4 with p(x, y) 12 y2.
2. Determine the center of mass of each region below given the variable density (a) The square with vertices (0, 0), (0,1), (1,1), and (1,0)...
Scientists studying a population of wolves (y), and a population of rabbits (x) on which the wolves depend for food, have found the sizes x and y of these populations to be modeled well by the equation 4 Iny -0.02y +3 In x -0.001x = 37.37 P(5000,300) wolves [The equation is graphed at right. Point P(x, y) moves around the curve in the direction shown as x and y variously increase and decrease in what is known as a predator-prey...
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