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A particle is moving along the curve y= 5sqrt(5 x + 11). As the particle passes through the point (5, 30), its x-coordinate increases at a rate of 3 units per second. Find the rate of change of the distance from the particle to the origin at this instant.
Describe the kernel of the linear transformation T:P1to r defined by T(p)= definite integral from 0 to 1 p(x)dx where P1 is the set of continuous linear function on [0,1], and R is the set of real numbers.
If a plane can travel 460 mph with the wind and 400 mph against the wind, what is the speed of the plane in still air?
Find a linear function for the cost, C , of waste collection as a function of the number of kilograms of waste, w.
An electric clothes dryer uses 4,800 W of energy. The dryer is used for 24 hours one month. At a cost of 9.3 cents per kilowatt hour, how much does it cost to use the dryer for that month?
Paul makes $25.00 a week less than the sum of what Fred and Carl together make. Carl's weekly income would be triple Steven's if he made $50.00 more a week. Paul makes $285.00 a week and Steven makes $75.00 a week. How much does Fred makE?
Allyson and Adrian have decided to connect their ankles with a bungee cord; one end is tied to each person's ankle. The cord is 30 feet long, but can stretch up to 90 feet. They both start from the same location. Allyson moves 10 ft/sec and Adrian..
How many gallons of water are being pumped out each hour?
How many committees are there? How many committees of 5 can be formed from 8, given that two particular individuals are to be included on the committee?
If each loaf of bread is sold for $2.50, and each muffin is sold for $1.15, define an equation to represent the baker's revenue (his sales) based on the number of loaves and muffins he makes. How many of each should he make for maximum revenue?
at a point (x,y) on a metal plate is T(x,y)=4x2-4xy+y2. An ant on the plane walks around the circle of radius 5 centered at the origin. What are the highest and lowest temperatures encountered by the ants.
From the following augmented matrix, first write the system of equations that represents the augmented matrix and then create a real-world word problem that would represent these equations and their unknowns.
A box with a square base and open top must have a volume of 4000 cm3. Find the dimensions of the box that minimize the amount of material used.
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