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After 4 hours, it makes the 90(degree) turn toward North and proceeds two hours to take some surrounding. Determine bearing and distance of the ship from its starting point.
The telephone pole is 65 feet tall. Guy wire 90 feet long is attached from ground to top of pole. Determine angle between wire and pole to nearest degree.
Solve trigonometric equation (sin x)(2cos x-1) = 0 in interval [0,360°). Compute exact value of sin^-1 (sin 5pi / 6). Compute exact value of cos^-1 (tan 5pi / 4).
Graph of y= tan (x) is vertically stretched by the factor of 3, shifted the distance of 10 units to right, and then translated 9 units upward. Write down equation for curve in its final position.
Angle of elevation from the point on ground to top of the Egyptian pyramid is 35°. Angle of elevation from the point 135 feet further back to top of pyramid is 22°. Determine the height of
Suppose the exponential population model of form p = a(b^t), in what calendar year will population reduce(according to model) to 500? Rhino horns sell for about $45,000 per pound.
How many years t after 2000 (that is, relative year t=0 corresponds to calendar year 2000), are net incomes equal? Find out time t to two decimal places. For both use exponential function form f(t)=
Assume the population has exponential growth modeled by function p = a(b^t), where t is in years. Find out explicit model for the scenario, find out values for a and b.
Let the function y=f(x)=A+(B)(C^x ), 0 < C 1, 1, whose graph passes through points (x,y) = (0,1) and (x,y) = (1,10) and is asymptotic to horizontal line y = 20 as x approaches infinity. Find the
Currently, how fast should he be raising price per shirt to achieve this? Suppose that changing price does npt affect his sales.
The particle is moving along the straight-line path in such a way that distance (in feet) from the fixed reference point at time t seconds is provided. Determine suitable value of a so that particle
Determine Present Value P0 of amount P due t years in future and invested at interest rate k, compounded continuously. P = 9000, t = 22 yr, k = 2%.
Determine (a) equilibrium point, (b) consumer surplus at equilibrium point, and (c) producer surplus at equilibrium point. D(x) = (x-3)^2, S(x) = x^2 + 2x + 1.
The surveyor wants to determine distance between two inaccessible points A&B on opposite side of lake while standing at point C. Determine the distance AB?
The bicyclist accelerates at the steady rate from the standstill to 20 km/hr in 45 sec. a) How fast is bicyclist traveling after 35 sec?
Determine the area under graph of f(x) = 0.05x^4 - 3.61x^2 + 97 over interval [5,9] by dividing interval into 4 subintervals.
Tree standing vertically on level ground casts the 125 foot long shadow. Angle of elevation from end of shadow to the top of tree is18.6°. How far away from base of tower does wire hit ground?
The capitalized cost, c, of the asset over its lifetime is total of initial cost and present value of all maintenance which will occur in future. Determine capitalized cost under given set of assump
If demand continues to grow at given rate, and no new reserves of natural gas are found, in what year will world reserves of resource be depleted? World reserves depleted in year.
The radioactive chemical has the decay rate of approximately 5% per year. How much of chemical will remain in atmosphere after 15 yr? Amount of chemical remaining in atmosphere is lbs.
If cos(t)=-911 where Π<t<3Π/2, determine the values of given trigonometric functions. Don't use decimals. Write answers in terms of sqrt.
If fan makes less than one full rotation, find distance bug has traveled along its arc from 3 o'clock position when its final position is 1.5 ft below horizontal diameter of fan for second time.
The baseball diamond is the square with side 90 ft. Player is running from third base to home at 22 ft/s. How fast is the distance from second base increasing if she is 75 feet from third base?
I was one-tenth of the mile from intersection, while she was seven-twentieths of the mile from it. How fast were we heading toeard each other at that instant?
Write down the equation of graph in it's final position. Graph of y= ex is translated three units to left, and then one unit upward