Reference no: EM131457654
Question 1.
(a) Find the vector normal to the plane through the points P(1,-1,0),Q(2,1,-1) and R(-1,1,2).
(b) Find the area of the triangle formed by the above three points.
Question 2.
Find the equation of the plane passing through the line of intersection of the two planes x+ y=2 and y-z=3 and which is perpendicular to the plane 2x+3y+4z=5.
Question 3.
Find the unit tangent vector, the principal normal vector, the curvature and the arc length of the curve over the interval 1≤ t ≤ 2 for the plane curve R = 2 In t i + (1/t +t) j. Find the equation of the circle of curvature when t=1.
Question 4.
Find the velocity and acceleration vectors, the speed ds /dt as well as the tangential and normal component of the acceleration for the motion described by R= t i +In t j for t >0.
Question 5.
For the curve R = (t- t3 /3, t2, t+t3/3) find
(a) The unit tangent and normal vectors T(t) and N(t) at any point.
(b)Find the curvature k(t)
|
Discuss how marketers use the communication function of web
: Discuss how marketers use the communication function of the Web as part of their online marketing strategies. Communication remains the most popular function.
|
|
How canthree-d scans be applied to other areas of science
: How can 3D scans be applied to other areas of science? What applications can they have (you can be creative, use outside sources for this one)?
|
|
Stack adt in a fully generic manner
: Implement the stack ADT in a fully generic manner (through the use of templates) by means of a singly linked list.
|
|
How does he support his main argument
: The purpose of this essay assignment is for you to demonstrate your ability to discuss, analyze, and evaluate complex philosophic arguments.
|
|
Find the vector normal to the plane
: Find the vector normal to the plane through the points P(1,-1,0),Q(2,1,-1) and R(-1,1,2)- Find the area of the triangle formed by the above three point
|
|
Define common methods of measuring effectiveness of websites
: Outline the steps involved in developing successful e-business Web sites, and identify methods for assessing Web site effectiveness.
|
|
Calculate the new date by adding a fixed number
: Calculate the new date by adding a fixed number of days to the date. For example, if the date is 3-18-2013 and the days to be added are 25, the new date.
|
|
Domains for a typical it infrastructure
: Describe the 7 domains for a typical IT infrastructure where network security is implemented.
|
|
How effective is current public health approach to obesity
: How effective is the current public health approach to obesity? How evolutionary principles improve the context of human health and diseases?
|