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A kite 100ft above the ground moves horizontally at a speed of 8fts. At what rate is the angle between the string and the horizontal decreasing when 200ft of string have been let out?
Use augmented matrices
Evaluate whether the given geometric series converge, hence determine the exact number or expression that the series converges to
Compute the coecients of the polynomials using the term recurrence relation.
The line y=0.15x + 0.79 represents an estimate of the average cost of gasoline each year. The line 0.11x-y=-0.85 estimates the price of gasoline in January of each year.
Show that the points A(4, 1), B(2, -3), C(0, 3) cannot form an equilateral triangle. Draw the graph of the straight line 3x ?4y = 12. Find the equation of a line parallel to the x- axis and passing through the point (5, 7).
Probability - birthday, What is the probability that at least 2 of the 435 members of the House of Representatives have the same birthday
Find the average value of the function over the given interval and all values of x in the interval for which the function equals its average value. Round your answers to four decimal places.
The given table presents the results from an ANOVA comparing three treatment conditions with n=12 participants in each condition. Fill all missing values.
Graph the function and label the x and y-intercepts on a scale where y-axis ranges from -100 to 900 and x-axis ranges from 0 to 55. What is the maximum profit earned by the company in a week?
The solution to Linear transformations, A linear transformation L: V -- W is said to be one-to-one if L(v1) = L(v2) implies that v1=v2. Show that L is one-to-one if and only if ker(L) = {0v}.
Identify the vertex, intercepts and zeros of a function.
Simply supported beam- Maximum bending moment, The bending moment M at position x m from the end of a simply supported beam of length L m carrying a uniformly distributed load of w Kn m-1 is given by
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