2. Construct the cubic spline that intersects with function f(x) at these points (1,-5), (0,3), (1.5,2), and use the cubic spline function to estimate (1.2).

Q: Find the distance between the point P(-2,4) and the line 3x-4y 12

A: Find the distance from the point P (–2, 4) to the line 3x – 4y = 12.

Q: Find the value(s) of x such that the distance between the points is 5. (7, 2), (x, −1)

A: The distance between the point (x1,y1) and (x2,y2) is given as d = (x1- x2)2 + (y1 - y2)2

Q: Create a 3-D plot of the function sin(/x² + y²) Vx² + y² for -8 <x5 8 and –8 < x < 8.

A: Note: Here, we are considering -8 ≤ x ≤ 8 and -8 ≤ y ≤ 8 rather than -8 ≤ x ≤ 8 and -8 ≤ x ≤ 8. We…

Q: Find the equation of the line that is the image set of the flattening  f (x,y) = (4x - 2y, 2x - y)

A: Solution

Q: show that the x-intercept of the graph of Ax+By=C is (c/a,0)

A: Given equation,

Q: Explain how the Intermediate Value Theorem (IVT) can be used

A: Intermediate value theorem is stated as follows. Consider an interval I=a,b of real numbers ℝ and a…

Q: 2 Show that the line y = x +3x+m for all values of m. y= mx+4 will touch or intersect the curve

A:

Q: Find the distance from the point (2, 6) to the line 2x - 5y = 0. Distance =

A: