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Find the gradient of the straight line joining the points P(2, 3) and Q(8, 6). Also calculate the the equation of the line through P perpendicular to the line PQ.
What is the correct conclusion for this hypothesis test?
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.
If your first job pays $40K/year, what will be your annual salary after 30 years and how much will you make in total over 30 years?
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.
a waste treatment pond is 50m long and 15m wide and has an average depth of 2m. the density of the waste is 85.3
Verify that the Fourier Isometry holds on [-π, π] for f(t) = t. To do this, a) calculatethe coefficients of the orthogonal Fourier series from the orthogonal series representation, b)calculate the sum of the squared coefficients, and c) Calculate the..
Determine whether the series is convergent or divergent.
How many pizzas must be sold to break even (i.e., you experience neither a profit nor a loss)? Interpret your result.
The electron's acceleration is due to two electric forces parallel to the x axis: = 9.68 x 10-17 N, and , which points in the -x direction. Find the magnitudes of (a) the net force acting on the electron and (b) the electric force .
determine the height and velocity of the rocket at the moment when the fuel is exhausted. B. at what time does the rocket reach it's maximum height, and what is that height. C. at what time does the rocket land.
Eighty percent of all California drivers wear seat belts if three drivers are pulled over what is the probability that all would be wearing their seat belts?
In planning for a major redesign, Beth collected data at her store on several consecutive Saturday mornings. She noticed that customers arrived at the checkout at a rate of approximately 100 per hour. Fully 20 percent of the customers had 10 items..
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