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As compounding periods grow shorter, effective yield appears to converge to the particular number. Determine that number?
The property owner wishes to fence the garden plot adjacent to the road. Determine the function which models cost of fencing garden.
Determine dimensions which provide largest area for rectangle. Its base is on x-axis and its other two vertices are above x-axis, lying on parabola y=8-(x^2).
Two cars are driving away from the starting point at the right angel to each other. How much time it takes for cars to be 500 miles apart?
The number of bacteria in the culture is growing according to law of exponential growth. After three hours, there are 200 bacteria, and after five hours, there are 800 bacteria.
Using inverse trigonometric functions, determine the solution to equation cos(x)=0.6 in interval 0x4. Then, use the graph to find all other solutions to the equation in interval. Enter answers as a
If there are currently 2400 milligrams of substance then how much, to nearest milligram, will remain after 80 years? After 100 years?
Determine when ball will be at it's highest point. Determine when ball will be 7 feet in air again. Compute when ball will land on ground.
Number of dimes is 3 times number of nickels and quarters together. If $30.65 is in box, compute number of nickels, dimes and quarters that it has.
The man is standing 10 feet from the tapestry against the wal. Angle of elevation to top of tapestry is 42 degrees. Angle of depression to bottom of tapestry is 31 degrees. Find how tall is tapestry
One of the given equations is the identity, and one is not. Prove identity and determine the value for x which illustrates that other equation is not the identity.
Compute dimensions to nearest hundreth of inch which will use maximun amount of costruction material. State the variable and function you are optimising on the calculator.
The population of the city is estimated by P(t)=5,000e0.012t, where t is number of years after 1980. How fast was population increasing in 2002?
If the man 2 m tall walks from spotlight toward building at the speed of 1.1 m/s, how fast is length of the shadow on building decreasing when he is 4 m from building?
The tomato is thrown vertically into air at time t=0. Its height, d(t) above ground at time t (in seconds) is provided. Graph d(t).
Determine the easiest way to keep in mind differences between Principal Values and regular sin/cos/tan functions? Where do inverses come in? Differentiate between inverse and Principal Value?
Determine the function which models weekly profit in terms of price per feeder. What price must society charge for every feeder to maximize profits? Determine maximum weekly profit?
You have 400 feet of fencing to enclose the rectangular lot and divide it into 2 by another fence which is parallel to one side of lot.
If it is circle, determine center and radius. If its hyperbola, compute center point and find which way it will open (and and down, or right and left).
Determine where two graphs intersect, label coordinates of these point(s), then determine area of region bounded by two graphs.
Find amount of each food dietitian must include in meal to meet vitamin and calcium needs. (Let x, y, and z denote number of ounces of Food I, Food II, and Food III, respectively.
Consider the distance from home in miles of a person after t hours on the straight path e provided by s(t)=√98t.
The population of the city is estimated by P(t)=5,000e0.012t, where t is number of years after 1980. How fast was population growing in 2002?
Find equivalent annual nominal rate and if the company wants to have $1, 000, 000 in this account after eight years, what equal deposit must be made each month?
Write all possible (or potential) rational zeros for polynomial below. Determine all real zeros of polynomial below and factor completely over real numbers.