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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.
State (straight-line) distance from Arthur to the starting point as the function of t, number of seconds since he started.
Determine dimensions to nearest hundreth of the inch which will use maximun amount of costruction material. State the variable and function you are optimising on the calculator.
Kendall is riding on the Ferris wheel. She observes that it takes 49 seconds to make the complete revolution. Her seat is 31 feet from axle of wheel. Use formula v=rw to determine the linear veloci
If one moves 16 metres away from tallest tree in the garden, top of the tree will be seen under angle pi/3. How far from tree one can see its top at angle pi/6?
Assume we are standing on top of the 300ft tower and we are holding the shiny new penny. We don't hurl it down, for that would be wrong.
The planet's orbit follows the path described by 16x^2+4y^2=64. The comet follows parabolic path y=x^2-4. Where might comet intersect orbiting planet?
Determine total daily cost of producing x picnic tables. How many picnic tables can be made for the total weekly cost of $4, 800?
For simple harmonic motion explained by trigonometric function, determine maximum displacement, frequency, value of d when t = 3, and least positive value of t for which d = 0.
Assume that revenue generated by selling x units of the certain commodity is provided by R=-1/5x^2+150x. Suppose that R is in dollars. Find maximum revenue possible in given case?
Determine angular and liner velocities at needle when it is just starting record, about 14.5 centimeters from center. Determine angular and linear velocities of center of turntable.
From the point 2000 feet closer to mountain along plain, they determine that angle of elevation is 36 degrees. How high is mountain in feet?
Determine maximum height obtained by ball. Determine horizontal distance ball has traveled when it hits ground.