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Q: Find equations of the two tangent lines to the graph of f(x) = x² that pass through the point (1,…
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- A line L1 passes through point (2,4) and has a gradient of 6. Another line L2 is perpendicular to line L1 and meets it at a point where x=2. Find the equation for L2 in form of y=mx+cFind the first and second order derivative w=3z7-7z3+21z2As a result of urbanization, the temperatures in Paris have increased. In 1891 the average daily minimum and maximum temperatures were 5.8°C and 15.1°C, respectively. Between 1891 and 1968, these average temperatures rose 0.019°C/yr and 0.011°C/yr, respectively. Assuming the increases were linear, find the year when the difference between the minimum and maximum temperatures was 9C, and determine the corresponding average maximum temperature.
- Obtain an equation for a straight line that passes through the point (3,5) and has a gradient of -4.Find a direct variation model that relates y and x. x = 2, y = 1Find the points on the curve y = 2x3 - 3x2 - 12x + 20 where the tangent line is a. perpendicular to the line y = 1 - (x/24). b. parallel to the line y = sqrt(2) - 12x.