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- Determine the point(s) on y=x2-1 that are closest the point (7,7)Find the parameteric equation for the line segment starting at P(-2,3) and ending at Q(-3,2)Suppose you are climbing a hill whose shape is given by the equation z = 2000 - 0.005x² -0.01y2, where x, y, and z are measured in meters, and you are standing at a point with coordinates (60, 40, 1966). The positive x-axis points east and the positive y-axis points north. (a) If you walk due south, will you start to ascend or descend? ascend O descend At what rate? vertical meters per horizontal meter (b) If you walk northwest, will you start to ascend or descend? O ascend Odescend At what rate? (Round your answer to two decimal places.) vertical meters per horizontal meter (c) In which direction. the slope largest? What is the rate of ascent in that direction? vertical meters per horizontal meter At what angle above the horizontal does the path in that direction begin? (Round your answer to two decimal places.) 0
- Use calculus to show that the closest point on the graph of 2 2 + y² = 5² to point (6, 8) is point (3, 4)| XFind the equation of a straight line passing throught the point (2,3) and making non-zero intercepts on the axes of co-ordinates whose sum is zeroFind the equation (in terms of x) of the line through the points (-4,-3) and (3,11) Submit Question Type here to search
- Suppose Fix)= √₂x + 6 and the point (2,5) is on the graph y = F(x). Find F.Find the set of values of 'a' if the points (1, 2) and (3, 4) lie to the same side of the straight line 3x -5y + a= 0.Find the coefficient of the straight line equation (a and b) in the equation Y = aX + b from the following data (in the table)
- find the midpoint of the line segment whose endpoints' coordinates are (4,6) and (-2,4) using the formula p[ ( x1 + x2 ) / 2 ] , [ ( y1 + y2 ) / 2 ]Which point on the graph of the line y = 3x² has the minimum distance between the graph and the point (2, 1)? Note: Format your answer as a point, like this: (-, -). Round to the nearest thousandth.
