Challenge 1: How can you relate a point, a line segment, a square, and a cube? Challenge 2: How can you relate a point, a line segment, a circle, and a sphere? Hint: start with the smallest of these, and think about how you could build up to the next one, and then the next one..
Challenge 1: How can you relate a point, a line segment, a square, and a cube?...
in C++ use Inheritance for the following Shape Circle Sphere Cylinder Rectangle Square Cube You must define one class for each shape. And, use public inheritance when deriving from base classes. Circle int r; void area(); void perimeter(); void volume(); //No volume for circle Sphere int r; void area();//Sphere surface area= 4 × pi × radius2 void perimeter(); //No perimeter for Sphere void volume();//Sphere volume= 4/3 × pi × radius2 Cylinder int r, height; void area();// Cylinder surface area=perimeter of...
Questions based on the multi-link cube The following 8 questions are based on the following data generated by rolling a multi-link cube 500 times: Up 118 Out Down Balanced 3 301 78 Question 1 (1 point) Rank the following combinations of rolls from most to least probable. One UP and one OUT One UP then one OUT Two DOWN in a row Question 2 (1 point) What is the probability of rolling at least one OUT in 4 rolls? Hint:...
3. What point on the line y = 7 - 3x is closest to the origin? a. Sketch the line carefully and mark the point on the line that you think is closest to the origin. b. Write the distance between the origin and a point (x,y) in the plane. If you don't know, think of a triangle with base x and height y. 8 7 6 c. The point must be on the line, so you can write the...
2-1/2dz if C is a polygonal line with vertices 2,1 + i,-1 i,-2 (without the segment [-2,2) and z-1/ is a principal value. Hint: consider a particular branch which is analytic on the contour uate the following integrals (all contours are positively oriented): cosh(z) 3 dz if C is a square of vertices 1 ti,-1ti C 2 sin(2) dz if C is a circle 3 2(2,2 2 3 dz if C is a rectangle with sides along the lines x-1,x--1,y...
please help if you can (Challenge bonus problem: 10% of your score) Show how you can synthesize the target from the provided recourses and all other needed reactants and reagents. Hint: think of a functional group alteration-reduction and/or oxidation. For protecting groups installment, consults the table in the end. но Он and он осн,
1-6 Enrichment Basic Constructions An optical illusion is an image that often is misleading to the human eye. The following images are optical illusigns. How do you view each image? Do you see the cube from above or below? How many balls are on each shelf? Which shelf are they on?straight or curved? Are the inside vertical lines The optical illusion at the right can be viewed in two ways. It can be viewed as a cube with another cube...
3. A point (X, Y) is uniformly distributed on the unit square (0, 1]2. Let 0 be the angle between the r-axis and the line segment that connects (0,0) to the point (X, Y). Find the expected value El9] (Hint: recall that conin 0 and an
Question 22 1 pts Compute the path integral of F = (y,x) along the line segment starting at (1,0) and ending at (3, 1). Question 23 1 pts Consider the vector field F= (1, y). Compute the path integral of this field along the path: start at (0,0) and go up 2 units, then go right 3 units, then go down 4 units and stop. Question 24 1 pts Compute Ss(-y+ye*y)dx + (x + xey)dy, where S is the path:...
(1 point) Let +4z + 4 sin (a) Find curl F. curl F- (b) What does your answer to part (a) tell you about JcF dr where C is the circle (x 30)2 + (y - 10)2 1 in the xy-plane, oriented clockwise? (e) If C is any closed curve, what can you say about fcFdr? (d) Now let C be the half circle (-30)2-cy-10)2-1 in the xy-plane with y 10, traversed from (31, 10) to (29, 10). Find F...
A long straight wire has a hollow spherical conductor of radius R hanging from its end. The wire carries a downward current I. You are curious about the magnetic field, if any, that might exist just outside the "equator" of the sphere, i.e. the circle created by the intersection of the surface of the ball with a horizontal plane through its center, shown by the solid line a) What is the amount of charge on the sphere as a function...