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Assume mass is at rest at t=0 and that spring bounces up first. i. Find distance from floor at t=.5 sec; t=1 sec; t=1.5 sec; t= 2 sec. ii. Determine distances for second bounce? third bounce?
The pilot flew the jet from montreal to Los Angeles, distance of 2500 mi. On return trip average speed was 20% faster than outbound speed. Round trip took 9h 10 minutes. Find speed from Montreal to
Assume area of region between graph of the positive continuous function f(x) and x-axis from x=a to x=b is 5 square units. Determine area between curves y=f(x) and y=7f(x) from x=a to x=b.
Draw the graph of the height feet above ground t minutes after boarding the ferris wheel which is 200 feet in diameter and makes one complete rotation every 8 minutes.
How much must be deposited in the account paying 4% interest compounded quarterly to have the balance of $3500 after 2 1/2 years?
The student drops the tennis ball 10 feet above pavement. Find height of tennis ball after 1 bounce, 2 bounces, 3 bounces? What kind of sequence is this?
The rectangular board is 2 by 18 units. Foci of the ellipse are situated to produce largest area. The string is connected to foci and pulled taut by the pencil to draw ellipse. Determine length of
Moon is the sphere with radius of 870 km. Find out the equation for ellipse if distance of satellite from surface of moon differs from 918 km to 561 km.
The nuclear cooling tower cross section is the hyperbola having diameter of 60 ft at center. Distance between two foci is 102 ft. Determine equation for hyperbola?
The tunnel is in shape of the parabola. Maximum height is 11m and it is 18m wide at base. Find vertical clearance 3m from edge of tunnel?
Suppose the rates continue into future. According to model, when will Asian yearly gas consumption exceed US consumption?
Determine the sinusoidal function y= A sin(ωx-φ) +B which fits data, Where x is day of year. There were 366 days in year 2000.
On Tuesday, she runs for 12 min and cycles for 45 minutes, covering the total of 16 mi. Suppose her running and cycling speeds do not change from day to day, determine these speeds.
Assume G(x) = ax^4+6x^3+cx^2+dx+e where a,b,c,d,e are all real numbers and cannot equal to zero. You are told that G(-3)=-51, G(-1)=1/8, G(10)=-5, G(10)=squareroot(2)
Write standard form of quadratic function which has indicated vertex and whose graph passes though given point. verify the result with the graphing utility.
The rectangular lettuce patch, 220 square feet in area, is to be fenced off against rabbits. Determine least amount of fencing needed if one side of land is already protected by the barn.
The ship leaves port at 10 mph with the bearing of N 46°W. There is warning buoy situated 6 miles directly north of port. Find bearing of warning buoy as seen from ship after 10.5 hours?
Determine integers greater than 2 that can't be expressed as sum of consecutive integers(you can use as many cosecutive integers as you wish to try and get to target number)
If every XER sells for $95,000 and YAN sells for $35,000 and Bob wishes to make atleast 2 YAN's, determine number of each which will maximize the profit.
By surveying readers of magazine, publisher finds which magazine will lose 10,000 readers for each .40 increase in price. What price per copy maximizes income?
The electronics firm produces two kinds of personal computers-a standard model and portable model. Determine maximum number of computers company is capable of producing?
Population of Bowlegs, Oklahoma, is 25000. Compute average walking speed. City's population has the average walking speed of 1.7 feet per second. Determine population of the city.
The propellers of Amazon Paradise have the radius of 1.2m. At full throttle propellers turn at 135rpm. Determine linear speed at tip of propeller blade in meters per seconds.
The angle of elevation from the point A on ground to top of water tower is 19.9 degrees. Point B, 50 feet closer, has the angle of elevation of 21.8 degrees. Determine height of water tower?
Plot zeros of f(x) you found in part (a) on the unit circle and label coordinates. Determine all zeros of f(x) State the answers in terms of z where z is integer.