Find the point of inflection of the curve 6x – x' +5 y = 7 b. (2, 4) d. (3, 1) а. (0, 1) с. (2, 3)
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A: Please check step 2 for solution.
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A: Please check step 2 for solution.!
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- Suppose you go up a hill whose shape is given by the equationz = 1000 - 0.005x2 - 0.01y2, where x, y and z are measured in meters and you are at a point with coordinates (60,40,966). The positive x axis points east and the positive y axis points north. a) If you walk south, will you begin to ascend or descend? For what reason?b) If you walk northeast, will you begin to climb or descend? At what rate?c) In which direction is the slope greater? What is the rate of ascent in that direction?d) At what angle above the horizontal does the trajectory begin in that direction? Note: To solve take into account the topics partial derivatives, directional derivative and the gradient. Note: answer only subsection dAn ant is walking on the xy-plane is such a way that its distance to the point (2, 4) is always the same as its distance to the x-axis. Find an equation for the path of the ant.Find the distance between points P1 and P2. 1). P1 (-5,2,8) and P2(-2,-4,10) 2). P1(-6,8,-2) and P2(-5,7,-3)
- Analytic Geometry of LinesSuppose you are climbing a hill whose shape is given by the equation z = 1,300 − 0.005x2 − 0.01y2, where x, y, and z are measured in meters, and you are standing at a point with coordinates (80, 80, 1204). The positive x-axis points east and the positive y-axis points north.Find the parameteric equation for the line segment starting at P(-2,3) and ending at Q(-3,2)
- Find an equation of the curve in the xy-plane that passes through the point (2, 3) and has, at every point (x, y) on it, slope 2x/(1 + y^2 ). Explain your answer.quadrilateral ijkl is rotated 180° counterclockwise around the origin, and then reflected over the line y=x. match the pre-image coordinates k with its' corresponding final image coordinates. K (2,8) Answer Choices (-2,-8) , -8,2 , 8,-2 , 8,2 -8,-2 , 2,-8. -2,8find an equation for the line with the given properties. Express your answer using either the general form or theslope–intercept form of the equation of a line, whichever you prefer Parallel to the line 5x - y = - 2; containing the point 10, 02
- The distance between the points (1,-2,1) and (5,1,4)Find Angle between -3/2x-6y+z=4 and 2x-y-1/2z=7 find an equation for the line L of intersection of plane?In each part we have the equation of the lines of an electric field. Obtain for each case the equation of the family of orthogonal curves (equipotential). Draw 3 electric field lines and 3 curves. equipotentials in the same plane for each case. (You can use a grapher) (x^2)+(16y^2)=c x+(6y)=c (y^2)-(x^2)=c
