Math Homework

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1.Let P(2,1,0), Q(3,-1,1), R(6,5,2) be three points in R^3(a)
1.Let P(2,1,0), Q(3,-1,1), R(6,5,2) be three points in R^3 (a) show that the points are non collinear (b)Find the equation of the plane determine by P,Q,R (c)find the equation of the normal line to th… read more
Martin
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Q1 (9 marks) Given the three vectors: a = i − 3j+ 2k ,b = 2i
Q1 (9 marks) Given the three vectors: a = i − 3j+ 2k ,b = 2i − k and c = −4i + j ; (a) Find a − c , a − c and a − c . (b) Find the vector of magnitude 6 in the direction of b + c . (c) Find a unit vec… read more
akch2002
Master's Degree
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(a) Evaluate the scalar line integral of the vector field F1(x,
(a) Evaluate the scalar line integral of the vector field F1(x, y, z) = 2z i − x j + 3y k, around the closed path C defined by the parametric equations x = cos t − 1, y = 1, z = sin t for −π ≤ t ≤ π. … read more
akch2002
Master's Degree
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3. Consider the function f(x) = x3 + 3x2 – 24x. a. What
3. Consider the function f(x) = x3 + 3x2 – 24x. a. What is f '(x)? b. Evaluate f(x) and f '(x) at x = -2, x = 1, and x = 4. c. Show, by evaluating f ''(x), whether the points considered above are loca… read more
R.R. Jha
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A cube of edge length a sits with one corner at the origin
A cube of edge length a sits with one corner at the origin of an xyz coordinate system. A body diagonal is a line that extends from one corner to another through the center. In unit-vector notation, w… read more
akch2002
Master's Degree
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The paper I am writing is about vector spaces V and fields
The paper I am writing is about vector spaces V and fields F, dealing with vector addition and scalar mulltiplication. There are 10 axioms, but with the use of abstract algebra the axioms can be reduc… read more
Stevewh
Teacher
Bachelor's Degree
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This question is regarding linear transformations in the subject
This question is regarding linear transformations in the subject area of Linear Algebra: Does there exist a transformation t: R?R such that: (a) Condition 1 holds while condition 2 does not (b) Condit… read more
AL
Master's Degree
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Determine whether the following statements are true and give
Determine whether the following statements are true and give an explanation or a counterexample. 1. Suppose you are standing at the center of a sphere looking at a point P on the surface of the sphere… read more
Dr. Dan
Doctoral Degree
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1. Given the demand curve D(x) (x-7)^2 and the supply curve
1. Given the demand curve D(x) = (x-7)^2 and the supply curve S(x) = x^2 Only consider values in the first quadrant, from x= 0 to 7 Find the following: a) the equilibrium point (as ordered pair) b) th… read more
rajeevanpillai
Master's Degree
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4. Let C be a curve in two dimensions parametrized by ( x(t)
4. Let C be a curve in two dimensions parametrized by ( x(t) = cos(f(t)) , y(t) = sin(f(t)) ,  ~r(t) where f is a smooth function of t which is an element of [a, b]. Define the vector field V , V (x,… read more
AL
Master's Degree
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Given a function f(x, y) and a path c(t), a question asks what
Given a function f(x, y) and a path c(t), a question asks "what is the tangent vector to the image of c(t) under f at t=0?" I know how to find a tangent vector, once I know c(t), but how do I set abou… read more
Stevewh
Teacher
Bachelor's Degree
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let V and W be vector spaces over a field F. What is a linear
let V and W be vector spaces over a field F. What is a linear transformation from V to W? If f is a linear transformation from V to W, what is its kernal and what is its image? Show f(0_v)=0_w. Show t… read more
Dan
Doctoral Degree
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PASS MATHS, LINEAR ALGEBRA. Let V and W be vector spaces over
PASS MATHS, LINEAR ALGEBRA. Let V and W be vector spaces over a field F. What is meant by a linear tyransformation from V to W, what is meant by its kernal and what is meant by its image? Show that f(… read more
Dan
Doctoral Degree
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Consider the function f(x,y,z) xe^y+z^2a) Calculate the
Consider the function f(x,y,z)= xe^y+z^2 a) Calculate the gradient Df b) Find the direction in which f increases most rapidely c) Calculate the directional derivative in the direction found in part (b… read more
David
Post-Doctoral Degree
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In the theory of complex variables... the question is to prove
In the theory of complex variables... the question is to prove that an analytic function is solenodoil and irrotational... so I treat the function as a two dimentional vector and take it's two dimenti… read more
David
Post-Doctoral Degree
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A statistics professor gives a test and finds that the scorea
A statistics professor gives a test and finds that the scorea are normally distributed with a mean of 25 and ad a standard deviation of 5. She plans to curve the scores. a) is she curves by adding 50 … read more
Jim C
Master's Degree
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The vector a has magnitude 2.8 and direction 43(degrees), and
The vector a has magnitude 2.8 and direction 43(degrees), and the vector b has magnitude 5.1 and direction -118(degrees) choose the option that gives the component form of the vector 2a-3b to one deci… read more
Expert
1)Three forces act upon an object, which remains at rest. The
1)Three forces act upon an object, which remains at rest. The forces are represented by the vectors P,Q, and R, where P=7i+5j and Q=-2i-9j. Choose two options that give the magnitude and direction of … read more
muvee
Master's Degree
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