Problem 1E: Find the one-piece BĂ©zier curve (x(t),y(t)) defined by the given four points. (a) (0,0), (0,2),... Problem 2E: Find the first endpoint two control points, and last endpoint for the following one-piece BĂ©zier... Problem 3E: Find the three-piece BĂ©zier curve forming the triangle with vertices (1,2)(3,4), and (5,1). Problem 4E: Build a four-piece BĂ©zier spline that forms a square with sides of length 5. Problem 5E: Describe the character drawn by the following two-piece Bezier curve: (0,2),(1,2),(1,1),(0,1)... Problem 6E: Describe the character drawn by the following three-piece Bezier curve: (0,1),(0,1),(0,0),(0,0)... Problem 7E: Find a one-piece BĂ©zier spline that has vertical tangents at its endpoints (1,0) and (1,0) and that... Problem 8E: Find a one-piece Bezier spline that has a horizontal tangent at endpoint (0,1) and a vertical... Problem 9E Problem 10E: Find the knots and control points for the following BĂ©zier space curves. {... Problem 11E: Prove the facts in (3.27), and explain how they justify the BĂ©zier formulas. Problem 12E: Given (x1,y1), (x2,y2), (x3,y3), and (x4,y4), show that the equations... Problem 1CP: Plot the cure in Exercise 7. Problem 2CP Problem 3CP: Plot the letter from BĂ©zier curves: (a) W (b) B (c) C (d) D. Problem 1SA: Use the bezierdraw.m program of Section 3.5 to sketch the upper case initial of your first name. Problem 2SA: Revise the draw program to accept an n8 matrix of numbers, each row representing a piece of a... Problem 3SA: Using the template above and your favorite text editor, write a PDF file that draws the lower case... Problem 4SA Problem 5SA: Although font information was a closely guarded secret for many years, much of it is now freely... Problem 6SA format_list_bulleted