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A steep mountain is inclined 79 degree to the horizontal and rises 3100 ft above the surrounding plain. A cable car is to be installed from a point 900 ft from the base to the top of the mountain. Find the shortest length of cable needed.
Use polar coordinates to find lim(x,y)->(0,0) [(x)(y^2)]/[(x^2)+(y^2)] note that (x,y)->(0,0) is replaced with r->0^+. explain why this is a valid replacement.
The speed of train A is 20mph slower than the speed of train B. Train A travels 220 miles in the same time it takes train B to travel 320 miles. Find the speed of each train.
Let X be the cost of the sofa. What is the average cost of a sofa if the advertised sofa is $250 and the more expensive sofa is $ 375?
Suppose that you randomly draw 18 cards from a standard deck of 52 cards. what is the probability of drawing at least 6 hearts?
Use the definition finition of the derivative to find f'(x) given f(x) = sqrt(x). What is the maximum height attained by the ball?
Calculate the coefficient of multiple determinations
Are the following examples linear transformations from p3 to p4? If yes, compute the matrix of transformation in the standard basis of P3 {1,x,x^2} and P4 {1,x,x^2,x^3}.
How many minutes will it take until the tank is full? (1 meter=1.094 yards)
Identify a real-life example or application of either the binomial or Poisson distribution.
Please explain the steps and solution. Find an equation of the line tangent to the curve defined by the equation at the specified point:
If you were to graph these functions, what feature would appear in the graph at the limiting value? Why?
Hypothesis test for two differences between means
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