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a ladder 13 feet long is leaning against the side of a building.if the foot of the ladder is pulled away from the building at the rate of 0.1foot per second how fast the angle formed by the ladder and the ground changing at the instant ,solution.
Find the area of a sector having a central angle of 60° in a circle of radius 8 inches. Find the perimeter and area of a circular sector whose angle is 3.5 radians if the circumference of the circle is 58 ft.
Given the situation described, identify the type of sampling involved. A fraternity assigned an ID number to each of its current pledges.
What size squares should be cut from each corner in order to maximize the volume of the box and what is the maximum volume of the box?
Are there points on the curve y = (x - 1)^2 where Gradient f is perpendicular to the curve? Find the absolute maximum and minimum of the function in the region 1 >= x >= 0 and y >= 0.
Show that if n is odd then the set of all n-cycles consists of two conjugacy classes of equal size in An. Let G be a transitive permutation group on the finite set A with |A|>1. Show that there is some g in G such that g(a) is not equal to a for al..
Real Life Application of Linear Eqations : A mathematician has developed a model indicating a woman with x years of education can expect to earn y = 1200x + 6300 dollars a year.
Consider a Lagrangian system, with configuration space R^n, given by (x^1, ... x^n); and Lagrangian L(x', ..., x^n; v^1, ... v^n). Now consider a new system of coordinates, (y^1,... ^n),
Application of matrices in real word problems -Five neighborhoods ( NB ) all want to raise money for a playground for their kids.
Calculating The Probability For a Normal Random Variable. The ages of 50 women are approximately normally distributed with a mean of 48 years and a standard deviation of 5 years. One women is randomly selected from the group, and her age is observ..
At the .01 level of significance, is there sufficient evidence to conclude that the mean bone marrow micro vessel density is higher before the stem cell transplant than after the stem cell transplant?
For your assignment this week, imagine that you will be building a shed in your back yard. The shed requires a cement foundation that is rectangular in shape.
Evaluate the average value and RMS value of the given function - Find the average value of the function i = 15(1-e (-1/2)t ) from t = 0 to t= 4.
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