Let g(x) = ax* + bx' + cx + dx + 1 be a polynomium whose graph intersects the points (-2, 4), ( – 1, 0), (1,-2), (3, 6). Additionally let p(x) = a,x* + b,x' + c,x² + d,x + e,, x ER whose graph also intersects the points. The tangents of the polynomials graphs are orthogonal in the coordinate (1,-2). (a) Determine the coefficients of p(x).

Q: Find the point of inflection of the curve y = x^3 - 6x^2 - x + 12. (-2,6) (2,-6) (-2,-6) (2,6)

A: We have to find point of inflection of given function.

Q: The equation of the parabola culminating at P (1,4) and through (3,0) is f(x)= ax^2+bx+c, so the…

A:

Q: Calculate the x- and y-interсepts of the graph:   y=3-3x^3   A)x - intercept (0,1), y -…

A: Draw the graph: For X-intercept, put y=0: X-intercept is 1. The point of x-intercept is (1, 0).

Q: Find eqation of line through the point (4,2,1) and (0,4,2)

A:

Q: On a rectanglular coordinate system graph the equation and label the points on the graph…

A: Consider the given function, y=x3-1   Calculate the y-values of the graph at the given x-values.…

Q: Determine the distance between the following pair of points: (x…

A:

Q: Find the equation y = f(x) passing through the points (-11-21), (1,15), (2,12) and (3, 3)? Find also…

A: We will use the Lagrange interpolation method. We have: x x0=-1 x1=1 x2=2 x3=3 y y0=-21 y1=15…

Q: 9) Find the equation of the straight line passing through the point of intersection of the two lines…

A:

Q: (x1,y1)=(4, 2),(x2,y2)=(3, 0),  (x3,y3)= (1, 7) and(x4,y4)=(8,2). Trace these points on graph, also…

A: Let A(4,2) , B(3,0) , C(1,7) , D(8,2)

Q: y=-2log_(2)(x+3)-1 Plot at least four points that fit on.

A:

Q: (2x^2)– (y^2)-2xC+1=0  Find the orthogonal orbital family of the function

A: We have to find the orthogonal trajectory of the function given below: 2x2-y2-2Cx+1=0. Orthogonal…

Q: So the maximum is (-0.5, -16e^(-1))? And the minimum is (0.5, 16e^(-1))? I need the answer in…

A:

Q: Graph y = 5e-xon [-4, 4] by [-1, 20] .

A: Consider the function y=5e-x to plot the graph on the window [-4, 4] by [-1, 20], the horizontal…

Q: ^ 2. (a) Find the line that contains the point M(0, 2,-5) and intersects the lines x-1 y+1 2+4 = 5 x…

A: Solve using line concept

Q: Find the points of intersection of the graphs of the equations. x2 + y = 17 -2x + y = 14 (x, y)…

A: Given  x2 + y = 17     (i) -2x + y  = 14 ⇒ y = 14+2x       (ii) Putting the value of y in equation…

Q: The graphs of the equations (x - 3)2 + (y - 5)2 = 10 and x2 + (y + 1)2 = 25 intersect %3D at

A:

Q: point P (x, y) moves such that it is always twice as far from (-5, -6) as it is from (2, -3). What…

A:

Q: The point (m,n) and (p,q) are on gra y=a^x. In term of n and q, determine coordinate of point…

A:

Q: Suppose there are two lines in the xy-plane in R^2.  These two lines could intersect at a single…

A: let the lines be                              y=m1x+c1y=m2x+c2 given that lines are intersecting in…

Q: sketch the graph of (x^2)-(y^2)-(z^2) = 1

A: Consider the equation

Q: What is the equation for the following quadratic in the form y= ax^2 +bx +c

A: y=ax2+bx+c The given equation intercept the x axis at -3,0 and 9,0 The equation passes through 3,6…

Q: Given h(x)=x^3+3, find the equation of the secant line passing through (-4,h(-4)) and (2,h(2))

A:

Q: Which points on the graph of y = 4 – x- are closest to the point (0, 2)? and (글, ) V6 5 (2, 0) and…

A: As per given by the question,  Graph of the equation is y=4-x2. The given point is 0, 2. Here,…

Q: Find the perpendicular trajectories of the family of y = ax" curves. N= -1, n=1 and Draw each curve…

A: