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Resulting motion of weight is described by function y=(1/2)e^(-t/4)cos(4t), t > 0 where y is distance (in feet) and t is time (in seconds). Determine displacement when: a) t= 0 secs b) t= 3 secs
She then creates the course correction, heading 8° to right of her original course, and flies 2 h in new direction. If she maintains the constant speed of 825 mi/h, how far is she from the start
using the graphing utility, graph relation between percentage of element B remaining and time. (c) using INTERSECT, find out time which elapses until half of element B remains.
Assume that terminal point determined by t is point (-3/5, 4/5) on unit circle. Determine point determined by each of the given . A) pi+t B) 2pi-t
Each of two observers 325 feet apart estimates angle of elevation to top of the tree which sits on straight line between them. These angles are 49 degrees and 59 degrees, for observers a and b, resp
What amount of cashews selling at $6.30 per pound should be mixed with pecans selling at $4.20 per pound to make 40 pounds of the nut mixture selling at $4.90 per pound?
If the dosage of 300mg is taken by the patient, write the function which can be utilized to model level of drug in blood as the function of time.
Find out equation of each line below using information given for each (Write answer in y = mx+b form) line having point (5,6) and parallel to the graph of 3x + 9y = 7 S
Lets suppose this trend would continue until 2020. A) Find formulas which model prodfit realized by every company where t is number of years since 2000. B) What profit each company realized in 2005?
Determine equation of form N(t) = Noe^rt for number of cars in Tanner City as the function of time t, where t = 0 corresponds to year 1990. Find population of the city in 2010?
If the dosage of 300mg is taken by the patient, write the function which can be utilized to model level of drug in blood as the function of time. How much of drug remains in blood after 12 hours.
Paul invests $15,000 at the interest rate of 7.5% per year, compounded continuously. A) Find amount after five years. B) How long will it take to double amount invested?
What kind of function is this and find initial population of town? During what year was town's population largest and what was population at that time? Illustrate work where necessary.
Graph the system of inequalities and state whether graph is bounded or unbounded and write corner points. x is more than or equal to 0.
Find whether system is consistent or inconsistent. If it is consistent, provide solution. Type 1st, 2nd and 3rd row equation it represents. {1 0 0 | -6} {0 1 0 | 8} {0 0 0 | -5}.
Linear programming problem: minimize z= 6x+2y subject to x>0,y>0,x+y>4, x<9,y<8 Determine minimum value of z? and at what points it happens?
Oopulation of california was 10290518 in 1940 and 23626378 in 1985. Suppose population increases exponentially. Determine time required for population to double (in years).
The bridge is built in a shape of the parabolic arch. Bridge arch has the span of 142 feet and the maximum height of 35 feet. Determine height of arch at 20 feet from its center.
Demand-price relationship for weekly movie rentals at the convenience store is n(p) = 500/p where n(p) is demand and p is price. Compute and explain elasticity if movie rental fee increases from $1.
Studies illustrate that concentration (in mg/cm^3 of blood) of aspirin in the typical person is associated to time (in h) after aspirin reaches maximum concentration by equation In c = In 20 - 0.95t
Shortest distance occurs at point on line whoes segment joining given point is perpendicular to line. Determine distance between line y=2x+1 and the point (4,4).
When the certain drug is taken orally, concentration of drug in patient's bloodstream after t minutes is provided by C(t) = 0.06t - 0.0002t^2.
verify a-b/a+b=x-y/x+y B.) law of sines and reply from part a to illustrate a-b/a+b=sinA-sinB/sinA+sinB. Utilize result in part a and sum to product formula to complete derivation.
Utilize Gauss-Jordan elimination to solve linear system. If system has infinitely many solutions, explain solution as the ordered triple involving the free variable
Draw and determine standard form of ellipse which passed through points (3,2) and (0,0). Center not at origin. Find focus and directrix line.