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Steady states If a function f represents a system that varies in time, the existence of
74. The population of a colony of squirrels is given by

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- 1. We want to graph the function f(x) log4 x. In a table below, = find at three points with nice integer y-values (no rounding!) and then graph the function at right. Be sure to clearly indicate any asymptotes. (4 points) 3 2 1- -1 0 1 2 3 4 5 10 X log4(x) -1 -2 -3- 6 7 8 00arrow_forwardGraph y=log2(x+3) 10+ 9 8 7- 6 5 4 3 3 2 1 10 -9 -8 -7 -6 -5 -4 -3-2-1 1 2 3 4 5 6 7 8 7 8 9 10 -1 -2 -3 -4 -5 -6 -7- -8 -9 -10 Clear All Drawarrow_forwardWrite an equation for the graph below. +10+ 9 10 -9 -8 -7 -6 -5 -4 -3-2-1 8 7 6 5 4 3 2 1 1 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7 -8 f(x) = 9 -9 -10-arrow_forward
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- A gun is fired with muzzle velocity 1152 feet per second at a target 4150 feet away. Find the minimum angle of elevation necessary to hit the target. Assume the initial height of the bullet is 0 feet, neglect air resistance, and give your answer in degrees.arrow_forward"Use the Opposite Method to solve the following differential equation:" 4'"""" + 34" + 34 + 4 = xarrow_forwardFor the curve defined by (t) = (e cos(t), et sin(t)) find the unit tangent vector, unit normal vector, normal acceleration, and tangential acceleration at πT t = 3 П I(3) 丌_3_3 N (1) ат aN || = = =arrow_forward
- Find the velocity vector for the position vector (t) = (sin(9+), 9t10, e¯7). x component = y component = Z component =arrow_forwardIn the xy-plane, an angle 0, in standard position, has a measure of the following is true? T. Which of 3 A The slope of the terminal ray of the angle is 1. B The slope of the terminal ray of the angle is 1. C D 3 The slope of the terminal ray of the angle is ✓ 2 The slope of the terminal ray of the angle is √3.arrow_forwardy'''-3y''+4y=e^2x Find particular solutionarrow_forward
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