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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.
Assume that perimeter of the particular Norman window is to be 24 feet. What must its dimensions be to maximize area of window and, hence, permit in as much light as possible?
From the window in the building, person finds that angle of elevation to top of monument is 15° and that angle of depression to bottom of tower is 2°. How far is person from monument?
The ship leaves port with the bearing of N 64oW. After traveling 13 miles, ship then turns 90o and travels on the bearing os S 26oW for 6 miles. At what that time, find bearing of ship from port?
Determine maximum number of real zeros. Use Descartes's rule of signs to find how many positive and how many negative zeros function has.
There are n black balls and n white balls in the box. Illustrate, that choice of two balls of same colour happens less frequently than choice of balls of different colours. What occurs if n is very
Determine equilibrium price for hot dogs at baseball game. Determine the equilibrium quantity? Find prices for which quantity demanded is less than quantity supplied.
Order of reacton, Calculate the rate constant of a first-order reaction which has 7.70 minutes for the reactant concentration to drop to half of its initial value?
A long pole of 4.00 m stands vertically in a lake with a depth of 2.00 m. If the Sun is 40.0 degrees above the horizontal, find out the length of the pole's shadow on the bottom of the lake. Take th
While running, a person dissipates around 0.60 J of mechanical energy per step per kilogram of body mass. When a person of 52 kg develops a power of 73 W throughout a race, determine how fast is the
What is the average acceleration of the clay during the time it is in contact with the ground? (Treat the ball as the particle.)
A wizard places cannon on the surface of the distant planet that consists of the gravitational Force of half of earth's. A ball of 50 kg is fired from the cannon at 48 degrees from the horizontal. T
The coefficient of static friction among the ladder and the ground is 0.70 and the ladder forms a 50.0° angle with the ground. Determine how far up the ladder can 740 N person climb before the l
Hot-air balloon is mounting at the rate of 12 m/s and is 96 m above the ground if a package is dropped over the side. (i) Determine how long does the package take to reach the ground?