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Determine the order of each differential equation, and whether or not the given functions are solutions of that equation on some interval of x values.(a) (y')^2 = 4y; Y1 = X2, Y2 = 2X2 , Y3 = e-x(b) Y" +9y =0; Y1= 4sin3X, Y2 = 6sin(3X+2)
The following random sample was selected from a normal distribution: 10, 12, 12, 15, 13, 15 & 16.Test the hypothesis that the true mean exceeds 12. [Use α =.01]
A jacket and two pairs of pants together cost $175. The jacket is valued at three times the price of one pair of pants. What is the value of the jacket?
Find the ball"s height and velocity at time t. b. When does the ball hit the ground and what is its impact velocity? C. When is the velocity 0? What is the significance of this time? D. How far does the ball travel during its flight?
What would be the scheduling model for this situation (environment, restriction, constraints) if you wish to minimize the total time in system? Use the appropriate scheduling notation.
Approximate the logarithm using the properties of logarithms, given logb 2 ≈ 0.3562, logb 3 ≈ 0.5646, and logb 5 ≈ 0.8271.(Round your answer to four decimal places.) logb(5b)-3Determine the principal P that must be invested at rate r = 3
a tree on a hillside casts a shadow 209 ft down a hill. If the angle of incline of the hillside is 22 to the horizontal and the angle of elevation of the sun is 54, find the height of the tree.
evaluate the dimensions of the rectangle of maximum area that can be inscribed in a ellipse.maximum area find the
At the 0.01 level of significance, test the claim that the mean reading times lour the lour age groups are equal.
question from the top of a lighthouse 136 ft above the surface of the water the angle of depression of a boat is
What is the speed of the water in the river, and what is the speed of the boat relative to the water?
How fast (centimeters per minute) is the water level falling when the water is 5 m deep? How fast is the radius of the water's surface changing then?
A ball has been dropped from the top of a building. Its height (in feet) after t seconds is given by the function H(t) = =16t^2+256. How far will the ball travel during the third second?
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