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1. Given the function f(x)=1/(1+3x)^2/3 Determine the linear approximation L(x) for x near zero.
2. Find the shortest distance from a point (3,5) to the graph y=x2.
Find the particular solution to be differential equation dy/dx = xy + x which satisfies y=3 when x=0.
Find the length of arc AC if the diameter, AB, of circle O is 24 cm. Write answer in terms of pi.
Two observation points A and B are 1500 feet apart. From those points the angles of elevation of a hot-air balloon are 43° and 47°. Find the height of the balloon to the nearest foot.
Calculate the yearly job-related expenses for this position at j & r financial Group. Be sure to include payroll deductions.
Design A ramp makes an acute angle with respect to the horizontal. Any two points along either edge of the ramp that are 10 feet apart differ.
Karen is constructing a pie graph to represent the number of hours her classmates do homework each day. She found that 8/24 did homework for three hours each day. In her pie graph, this would represent how many degrees?
Which sample should have the smaller margin of error? Explain your answer.
Although the equations are not quadratic, factoring will lead to one quadratic factor and the solution can be completed by factoring as with a quadratic.
Define the term linear inequality, then explain what it means to solve a linear inequality. Explain how the solution to the inequality
Johnson's Furniture bought a table for $262 and marked it up 85% based on the cost. For a special promotion, it was marked down 25%.
The profit P (in hundreds of dollars) that a company makes depends on the amount x (in hundreds of dollars) the company P = 170 + 80x - 0.5x2.
Classic Car Care has.one worker who washes cars in a four-step method-soap; rinse, dry, vacuum. The time to complete each step is exponentially distributed.
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