Use polynomial interpolation to find a cubic curve that goes through the points {(0,-3), (1,0), (2,5), (3,18)}.

Q: Find the slope and y-intercept of the line through the point (6,7) that cuts off the least area from…

A: The line passes through the point (6,7) that cuts off the least area from the first quadrant.

Q: Determine the equation of a quartic function that has zeros of-7,5, and point (2, 9).

A: Quartic function is a function of the form f(x) = ax4  + bx3  + cx2  + dx , where a is non zero,…

Q: Find the slope of the line through the point (12,15) that cuts off the least area from the first…

A: Given: (12,15)

Q: Find the midpoint between the two points (3, 6) and (-4, 8).

A:

Q: Find the distance between points (x1,-X3, X2) and (x2, 45°, x1)

A: Given

Q: find all the points having an x-coordinate of 1 whose distance from the point (-3,-1) is 5.

A: Suppose that the points are of the form (x, y) where given that x = 1. So, the points are (1, y).

Q: Find the linear function whose graph passes though the point 13, 22 and is parallel to the line y =…

A: Given line 4 : y=3x+8Compairing with y=mx+C , slope of line 4 is m1=3 Hence , the slope of line…

Q: Find the point equidistant from the points (0, 0, 0), (0, 4, 0), (3, 0, 0), and (2, 2, -3).

A: Find the point equidistant from the points (0, 0, 0), (0, 4, 0), (3, 0, 0), and (2, 2, -3).

Q: Estimate the x- and y-intercepts from the graph. 2- -9 -8 -7 -6 -5 -4 -3 -2 -1, 2 3 4 5 6 78 9 -2 -3…

A:

Q: Find the slope and y-intercept of the line through the point (9,5) that cuts off the least area from…

A: Equation of line : Y - y = m(X-x) If this passes through point(9,5) Y-5 = m(X-9) Y = m(X-9)+5 X…

Q: Find the equation for a quadratic with vertex at (-4, 4) and y-intercept at (0, 1) y =

A:

Q: Find the distance d between the points (-4,5) and (3,2).

A: To find the distance between two points -4,5 and 3,2. Solution: We know that distance between two…

Q: Find the point equidistant from the points (0, 0, 0), (0, 4, 0), (3, 0, 0), and (2,2, -3).

A:

Q: Find the distance between the points (3, 2) and (4, 3)

A:

Q: Find the distance between the point (-4, -3) and (0, 0)

A:

Q: Find the slope and y-intercept of the line through the point (5,9) that cuts off the le slope = %3D

A: let slope of the line is = m  The equation of line passing through the point (5,9) and having slope…

Q: Find the slope of the curve y = 2x3 - 3x2 - x +5 at (2,– 1)

A:

Q: Find the area of a triangle bounded by the y axis, the line f(x) = 5 - -2, and the line 4…

A:

Q: Find the slope and y-intercept of the line through the point (10,9) that cuts off the least area…

A: Equation of line in point slope form : (y - a) = m*(x-b)  Where, slope = m and point = (a,b)

Q: Which point on the graph of the line y = 3x² has the minimum distance between the graph and the…

A: according to question, the points (x,y) on the graph are of the form (x,3x2).if D is the distance…

Q: Find the curve in the xy-plane that passes through the point (9,4) and whose slope at each point is…

A:

Q: = (T-) (प॰,,५) %3D -1 = )7-6 (4-7) 11 Find the fcilowing: 3D3x+8 9={-7,-6),(0, -7),(2,8), (5, 6)3

A: Given : g = {(-7,-6),(0,-7),(2,8),(5,6)} h(x) = 3x + 8   g-1(-7) = ? g(0) = -7 g-1(-7) = 0   h-1(x)…

Q: Find all points that simultaneously lie 3 units from each of the points (2, 0, 0), (0, 2, 0), and…

A: Let such a point is (x,y,z)

Q: at the line x = 3. %3D

A: Find the volume of the solid generated by revolving the region between the parabola  x=y2+1 and the…

Q: Find the distance between the points (0,5) and (-3,2)

A:

Q: The distance between the points (1,−2, 0) and (4, 0, 5) is _____ .

A: Given Two points; (1,−2, 0) and (4, 0, 5)

Q: Find the slope and y-intercept of the line through the point (6,6) that cuts off the least area from…

A: Given : Point (6,6)

Q: Find the equation of a curve going through the point (3, 7) and having slope 4x² – 3 at (x, y).

A: Given ,Slope of curve is 4x2-3Thereforedydx=4x2-3Taking integationon both…

Q: Find the equation of the line through the point (2, 5) that cuts off the least area from the first…

A:

Q: Find the point on the line y = 2x + 3 that is closest to theorigin.

A: Given equation of line,  y = 2x + 3 To find the point on line that is closest to the origin.

Q: 1. x* 2х at a — 2 |

A:

Q: Find the slope of the curve y = 2x2-3x at point (1,3) O 2 O 3 O -2 0 1

A: We   have to find slope

Q: Find the value of x between the points  ( − 3, 2) and (x, 6) with slope 2/5.

A: We use the slope formula to find the slope between (-3,2) and (x,6)

Q: What is the image of (-2, –3) after a reflection over the line y = x?

A: Given : To determine the image of the point -2,-3 about y=x

Q: Find the slope of the curve at the point (2,3) * x³ 2x + 1 3/2 1 O 1/2 O 1/4

A:

Q: Find the curve in the xy-plane that passes through the point (4,8) and whose slope at each point is…

A: The curve in the xy-plane that passes through the point (4 , 8 ). Slope at each point is 3√x . We…

Q: Find the distance between (2,4, -1) and (0,8,3)

A:

Q: Find the slope of the curve y = 8x – 3x2 at point (2, 4).

A: Explanation of the answer is as follows

Q: Find the points on the curve y = 19x² closest to the point (0, 2). (0.395 2.973) and (-0.395, 2.973)

A:

Q: find the length of the curve y = 2x6+1/8x2 from x is greater than or equal to 1 and less than or…

A:

Q: Find a point on x-axis which is equidistance from A (2,-5) and B(- 2,9).

A: Topic:- geometry

Q: Find the slope of the line through the point (12,15) that cuts off the least area from the first…

A:

Q: Find the slope and y-intercept of the line through the point (2,7) that cuts off the least area from…

A:

Q: Find all points on the y-axis that are 5 units from the point (4, 4).

A: Distance between two points (x1,y1) and (x2,y2) on the graph is given by the distance formula, that…

Q: Find the equation of the linear function f(x), that has a slope of -2 and passes through the point…

A: Given information: The slope of the equation is -2 and the line passes through the point 5,1.…

Q: 2а3x at (a, a) ,2 x2+a²

A: Given curve is,

Q: Find the distance between the points P1 = (4, - 7) and P2 = ( - 1, 5).

A:

Q: Find the slope and y-intercept of the line through the point (1,2) that cuts off the least area from…

A: Given : Point ( 1 , 2 )  It cuts off the least area from the first  quadrant

Q: Find a formula for the linear function whose graph is a plane passing through the point (4, 3, -2)…

A: