Q6. Find and classify the stationary points and the points of inflexion on the following curve. y = 2x3 – 5x2 + 4x – 1

Q: Find the value of x for which the curve is (i) rising, (ii) falling, (iii) concave upward, (iv)…

A: Solution

Q: Find the equation of the line tangent to the graph of 2x³9x² + 2x 6 at x = 1. y = NOTE: Enter a…

A:

Q: Trace the curve: y = x³ + 3x² - 10x - 24

A: y=x2+3x2-10x-24

Q: Is the point (4,23) on the line y = 5x + 3? Is (4,23) on the graph of y = 5x + 3? O No OYes

A: The equation of the line,

Q: Find the slope (m) and X intercept of 3y - 8x + 3 = 0

A:

Q: Identify and sketch the curve for x2+25y2-4x+100y + 4 = 0

A:

Q: Find the x-intercepts of the graph of the function y = – x² – 6x + 3 6土V24 Ox = - 2 6土V48 O x = -2…

A: We have to find the x intercept of given function.

Q: The Line (L2) that pass through point (-2,1) and perpendicular to the Line (L1)=y= 0.5x +2, Fill in…

A:

Q: 3. Determine if the equation y-(2x+1) = 1 3D1 is a function.

A: It is relatively easy to determine whether an equation is a function by solving for y. A given…

Q: Determine if the lines are parallel, perpendicular or neither. **first put in slope-intercept form,…

A:

Q: Find the intercepts of the line graphed by the equation x – 2y + 4 = 0.

A: For x-intercept, put y=0 and solve for x. x-2(0)+4=0 x-0+4=0 x=-4 So, the x-intercept of the line…

Q: Determine the turning points and point of inflexion for the curve y = 2x +3x2 -12x+7.

A:

Q: Find the slope of the curve x + y - 10y -3x +5 = 0 3-2x 2у-10 2x+3 10-2y 2x-3 10+2y 3+2x 2y+10 O…

A: We have to find slope

Q: Find a possible point of inflection of the curve y x +3x2 + 6x

A:

Q: The equation y = - 0.2x² + 2x, where y is the height in meters and x is the horizontal distance in…

A: Drone 1 :  y = -0.2x2 + 2x…

Q: х* - Зx* +2 ,2 y' x? ,2

A: The x-intercept is a point where the y-coordinate of that point is 0. To find the x-intercept put…

Q: Find the maximum and minimum points and point of inflection of y = x* - 24x2 + 75.

A:

Q: 3. Trace the curve: y² = x³ + 4x² - 9x - 36

A:

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.