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When flying with a tailwind of 10 miles per hour (mph), a given plane can fly 620 miles in a specified time. The same plane can fly 540 miles when flying the same amount of time into a headwind of 20 mph. What is the speed of the plane if there is no headwind or tailwind?
Find the steady state response to a simple harmonice input of period 2pi/omega and amplitude alpha. Give the amplitude and phase for the component x_3(t) only.
Consider the curve 5x3+8xy+5y2 = 45. Use implicit differentiation to calculate the derivative dy/dx. Hence determine the point/s which has/have a horizontal tangent.
If an object is propelled upward from a height of 96 feet at an initial velocity of 80 feet per sec, then its height after t seconds is given by the equation h=-16t2+80t+96 where h is in feet. after how many seconds will the object reach a height ..
A window is 34 inches wide, and its perimeter is 188 inches. What is the length of the window?
The revenue from marketing x units of product I and y units of product II is 105x + 121y - .04xy - .1x2 - .2y2. Find the values of x and y that maximize the monopolist's profits.
A wrench 23cm long lies along the positive y axis and grips a bolt at the origin. A force is applied in the direction at the end of the wrench. Find the magnitude of the force needed to supply 117N-m of torque to the bolt.
Find the volume of the solid whose base is bounded by the circle x^2+y^2=4, with the indicated cross sections taken perpendicular to the x-axis.
Find the solution to the given system for the given initial condition
Adams High School has 151 freshman, 198 sophomores, 221 juniors, and 242 seniors. If two students are selected at random without replacement, what is the probability of selecting a freshman on the first selection and a senior on the second selecti..
The John Deere company has found that the revenue from sales of heavy-duty tractors is a function of the unit price p that it charges. The revenue R is given by the following function.
How many minutes will it take until the tank is full? (1 meter=1.094 yards)
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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