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A new bridge is being constructed. The space between the support needs to be 1050 feet; the height at the center of the arch needs to be 350 feet. An empty tanker needs a 280 foot clearance to pass beneath it.
a) find the equation of a parabola with these characteristics. Place the vertex at the origin.b) How wide is the channel that the tanker can pass through?c) If the river were to flood and rise 10 feet, how would the clearance of the bridge be affected?
If C is the curve given by r(t) = (1+4sint)i + (1+5sin^2t)j + (1+3sin^3t)k, (0) is less than or equal to (t) is less than or equal to (pi/2) and F is the radial vector field F(x,y,z,) = xi+yj+zk, compute the work done by F on a particle moving alo..
Two pens and a pencil have a total length of 49 cm. Four pens and a pencil have a total length of 77cm. What is the total length of seven pens and a pencil?
Determine the amplitude, period and phase shift of Y = ½ sin (x+π) and graph one period of the function.
Find the probability of an alarm.
A parcel of land is in the shape of a rectangle with length L (in feet). 65% of the length is waterfront and 70 feet of the length is not waterfront. Write and solve an equation to find the lenght of the parcel of land.
A two factor analysis of variance produces SSA = 20, SSB = 40 and SSAxB = 90. For this analysis, what is the value for SSbetween treatments?
If Mark makes the tee time, then there is a 0.8 chance that Rene will then make the tee time. What is the probability that Rene will make the tee time but Mark will not?
Probability: Random Dart. A dartboard has 3 areas: the main board has a radius of 9 inches; there is a circle with a radius of 5 inches
A rectangular trench is to be dug which is to be 210 ft long, 90 ft wide and 12 ft deep. A large dump truck can carry 20 cubic yards in a load. How many truck loads will be required to remove the dirt from this trench?
Evaluate the area of the rectangle - Write a polynomial that represents the area.
if a stone is thrown down at 120 feet per second from a height of 1000ft, its height after t seconds is given by s=1000-120t-16t^2. Find its instantaneous velocity function.
An urn contains 6 balls numbered 1 through 6. Suppose you draw a ball from the urn, observe its number, replace the ball, draw a ball again, and observe its number. How many outputs are in the sample space?
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