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If 3 J of work are needed to stretch a spring from 12 cm to 14 cm and 5 J are needed to stretch it from 14 cm to 16 cm, what is the natural length of the spring?
Identifying local maximum, local minimum.
A segment has endpoints with coordinates (2,-7) and (5,1). Find the length and midpoint of the segment.
The parabola y= x^2+4 has two tangents which pass through the point (0,-2). One is tangent to the parabola at (a, a^2+4) and the other at (-a, a^2+4) where a is a certain positive number. The question is a=?
You randomly select one card from a 52 card deck. What is the probability of selecting a black 6 or a red jack?
Solve this linear problem graphically and determine optimal quanitities of A, B, and value of Z.
How many solution sets do systems of linear inequalities have? Must solutions to systems of linear inequalities satisfy both inequalities? In what case might they not? Use an example for discussion.
A ship leaves its home port and sails on a bearing of N 28°10' E. Another ship leaves the same port at the same time and sails on a bearing of S 61°50' E. If the first ship sails at 24 mph and the second ship sails at 28 mph, find the distance bet..
Find p-value and interpret its meaning
An irrigation canal has the shape of a trapezoid. Let x = the bottom width, y = the water depth, and theta = the angle of inclination of the sides from the horizontal.
In how many ways can the selection be made if no more than one ball point pen is selected?
A cup of coffee at 187 degrees is poured into a mug and left in a room at 70 degrees. After 4 minutes, the coffee is 133 degrees. Assume that the differential equation describing Newton's Law of Cooling is (in this case) dT/dt=k(T-70).
In S(5) let pi=(245)(1354)(125). Write pi as a product of disjoint cycles and then answer the following questions. Determine pi^2, pi^5, pi^(-1).
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