3. The equation showing a family of lines passing through the point (1, -1) is given by * у%3D тх — (т + 1) у%3 тх — (т — 1) y = m (x + 1) + 1 y = m (x + 1) – 1 None of the above
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- The curve defined by ax^3 + bx^2 - 4x + 12 cuts the x-axis at three points. Two of them are known: 1 and -2. Determine the third.As 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.Find an equation of the curve that passes through the point (8, 2), and has the given slope y′ = 2y/3x.
- 13. The standard form of 3dy-xydx = 3y3e4x/3 by Bernoulli's equation is: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 an equation of the curve that passes through the point (3, 1), and has the given slope y′ = − y/5x.
- If the first line has the form Ax + By + C = 0 and the second line has the form Dx + Ey + F = 0 and if thefirst line is to pass through the origin and the second is to be parallel to the first, what relationships mustexist among among A, B, C, D, E and F ? With graph please Previous ans was incorrectFind the slope of the curve y=x2−3x−4 at the point P(2,−6) by finding the limiting value of the slope of the secant lines through point P.