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Karla Harby Communications, a small company of science writers, found that its rate of profit (in thousands of dollars) after t years of operation is given by the functionP'(t)=(3t + 3) cuberoot(t^2 +2t +2)a) Find the total profit in the first three years.b) Find the profit in the fourth year of operationc) What is happening to the annual profit over the long run?To receive full credit for you work, show the equations used, show all steps used to solve the equation, and explain the meaning of the solutions in part a, b, and c.
Mike, who is standing on the deck of a yacht that is traveling due west at 6km/h, sees a sailboat sailing southwest at 4km/h, 3 km northwest of the yacht. How close to each other do these boats get?
two cranes are lifting an object that weighs 20,240 pounds. One cable is at a 44.5 degrees from the horizontal and the other is 24.3 degrees on the opposite side from the horizontal. Find the tension of each cable of the cranes.
What is your monthly mortgage payment? How much does your house cost per month including principal, interest, real estate taxes, and insurance?
Find the following antiderivatives for each integral
Shane invests $38,000 in bonds that earn simple interest of 3%. The interest is payable at the maturity of the bonds after 5 years. Find the total amount that Shane will receive at the end of 5 years.
If the annual proportion of erroneous income tax returns filed with the IRS can be looked upon as a random variable having a beta distribution with α= 2 and β = 9,
A machinist can produce 114 parts in 6 minutes. At this rate, how many parts can the machinist produce in 15 minutes?
Find the cost of the shortest length of carpet.
the coin is returned to Al and the entire process begins again. The game continues until soneone gets heads. What is the probability of each of them winning?
maddie owns a hog farm.she sends hogs to market in a ratio of 3 to 10 on mondays and tuedays.if maddie sent 333 hogs to the market on monday, how many did she send to market on tuesdays.
Suppose u and v are non-parallel unit vectors, a=u+sqrt(3)v and b=u-sqrt(3)v. If the angle theta between u and v are the same as that between a and b, find cos theta.
a particle moves on the x- axis so that its accleration at any time t > 0 is given by a=(t/8)-(1/t^2). when t=1, v= 9/16 ft/sec, and s=25/49 ft.
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