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a pilot can travel 374 miles with the wind in the same amount of time as 306 miles against the wind. find the speed of the wint if the pilots speed in still air is 170 miles per hour.
Determine the number of groups under a given condition and How many license plates can a state have if each license plate has 2 letters followed by 4 digits, if the first digit cannot be zero?
Random Variables : Continuous R.V., Exponenetial, R.V, Mean and Variance, 3) Let X be a continuous random variable with probability density function
Find the range of angles that trace out the full graph and determine and graph the equations of the tangent lines at each relative maximum of r
If you fill half of a container whose capacity is t liters and then take 2 liters out, how full is the container?
A Norman window is constructed by adjoining a semicircle to the top of a rectangular window. Find the dimensions of the Norman window of maximum area if the total perimeter is 16 feet.
Consider the curve 5x3+8xy+5y2 = 45. Use implicit differentiation to calculate the derivative dy/dx. Hence determine the point/s which has/have a horizontal tangent.
Use a graphing device to graph the polar curve. Choose the parameter interval to make sure that you produce the entire curve.
Confirm that the two results are consistent by expressing the derivative in part (a) as a function of x alone.
Find (and describe) all the regular tessellations of the plane. Note that septagons, nonagons, and 11-gons are not provided. How do you know each one you find really fills in all the gaps around a vertex point? How do you know when you're done?
The company receives an order for 580 notepads, together with a check for $328. If the order fails to specify the number of each type, how should the company fill the order?
Find the directional derivative of the function at the given point in the direction of the vector v.
A strong linear relationship exists between two variables (r = 0.97). The equation of the least squares line(regression equation) is y = 15.75 - 0.55x. For what values of x should we use this equation to make predictions? Below are the ordered pai..
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