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For the function f(x)=x-1-x2, determine if f'' is increasing or decreasing at x=2 and determine concavity at x=2
Find the distance from the origin to the point on the line y=-2x+5 that is closest to the origin.
Suppose you need to build a box with no top from a square sheet of metal by cutting squares of equal size out of each corner and folding up the flaps to form the four sides of the box. Find the maximum possible volume in cubic inches of such a box if the square sheet of metal is 110 inches on each side.
A fence is to be built to enclose a rectangular area of 310 square feet. The fence along three sides is to be made of material that costs 5 dollars per foot
find the volume V generated by rotating the region bounded by the given curves about x = 4.
budget rental cars charges 35 a day plus 0.40 per mile. enterprise charges 20 a day plus 0.55 per mile. wirte and solve
1 correctly match each of the following listed sets of properties to one of the graphs below by inserting the letter
Karla Harby Communications, a small company of science writers, found that its rate of profit (in thousands of dollars) after t years of operation is given by the function.
A triangle drawn on a map has sides of lengths 7 cm, 11 cm, and 14 cm. The shortest of the corresponding real-life distances is 92 km. Find the longest of the real-life distances to the nearest tenth of a kilometer.
Determine the probability that a child chosen at random from the school is bussed to school.
If 5 J of work are needed to stretch a spring from 9 cm to 10 cm and 7 J are needed to stretch it from 10 cm to 11 cm, what is the natural length L of the spring?
Explain in your own words when the elimination method for solving a system of equations is preferable to the substitution method.
The sail area displacement ration S provides a measure of the sail power available to drive a boat. For a boat with a displacement of d pounds and a sail area of A square feet.
Matt used 2 hundreds, 18 tens, and 4 ones to model a number. What number did matt model?
a patient is given a dosage q of a drug at regular intervals of time t. the concentration of the drug in the blood has
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