Question A poster of area 3840 cm? has blank margins of 10 cm wide on the top and bottom and 6 cm wide on the sides. Find the dimensions that maximize the printed area. (Use decimal notation. Give your answers as whole or exact numbers.) width: 36 cm Incorrect height: 60 cm Incorrect

In Exercises 15-22, calculate the approximation for the given function and interval.> $L_{4}, f(x)=\cos ^{2} x,\left[\frac{\pi}{6}, \frac{\pi}{2}\right]$

A horizontal spring with spring constant 85 N/m extends outward from a wall just above floor level. A 5.5 kg box sliding across a frictionless floor hits the end of the spring and compresses it 6.5 cm before the spring expands and shoots the box back out. How fast was the box going when it hit the spring? How fast was the box going when it hit the spring? Express your answer with the appropriate units.

Find the directional derivative of f at P in the direction of a vector making the counterclockwise angle 0 with the positive x-axis. f(x, y) = 5/æy; P(2,8); 0 = 3 NOTE: Enter the exact answer.

A 2-wire d.c. distributor is 250 m long. It is to be loaded as shown in Fig 13.10 at 50 m intervals. If themaximum voltage drop is not to exceed 10V and the resistivity of core material is 0·7 × 2·54 μΩ cm,determine the maximum cross-sectional area of each conductor. A 2-wire d.c. distributor is 250 m long. It is to be loaded as shown in Fig 13.10 at 50 m intervals. If themaximum voltage drop is not to exceed 10V and the resistivity of core material is 0-7 x 2-54 µ2 cm,determine the maximum cross-sectional area of each conductor.[1-602 cm']SupplyEnd120 A90 A60 A50 A80 AFig. 13.10

Suppose you swing a ball of mass m in a vertical circle on a string of length L. As you probably know from experience, there is a minimum angular velocity wmin you must maintain if you want the ball to complete the full circle without the string going slack at the top Part A Find an expression for wmin in terms of g and L Express your answer in terms of the variable L and the free-fall acceleration g. ΟΙ ΑΣΦ ? Wmin = Submit Request Answer Part B Evaluate wmin in rpm for a 65 g ball tied to a 2.0-m-long string. Express your answer in revolutions per minute. ΠΙ ΑΣΦ ? Wmin = rpm Submit Request Answer

MATLAB A water tank shaped as an ellipsoid (a = 1.5m, b = 4.0m, c= 3m) has a circular hole at the bottom as shown. According to Torricelli's law, the speed v of the water that is discharging from the hole is given by v = 2gy where y is the height of the water and g = 9.81m/s2. The rate at which the height, y, of the water in the tank changes as the water flows out through the hole is given by dy 2gyra dt ac 1+ 420)2] where r is the radius of the hole. r=0.025m V Solve the differential equation for y for 0 < t < 515s. The initial height of the water is h = 5.9m. Make a plot of y as a function of time. Add a title and axis labels.