I can't remember a fallacious proof involving integrals and trigonometric identities.?
My calc professor once taught us a fallacious proof. I'm hoping someone here can help me remember it. Here's what I know about it: - The end result was some variation of 0=1 or 1=2. - It... more
What are some examples of infinite dimensional vector spaces?
I would like to have some examples of infinite dimensional vector spaces that help me to break my habit of thinking of $R^n$ when thinking about vector spaces.
Why are invertible matrices called 'non-singular'?
Where in the history of linear algebra did we pick up on referring to invertible matrices as 'non-singular'? In fact, since - the null space of an invertible matrix has a *single* vector - an... more
If 20% of the substance disappears in 10 years, what is its half-life? (Round your answer to two
A radioactive substance follows the decay equation dA/ dt= kA. If 20% of the substance disappears in 10 years, what is its half-life? (Round your answer to two decimal places.)
Question regarding integral of ln(2x+1) dx
∫ln(2x+1) dx; when I solve for this using u-sub with u = 2x+1, I get 1/2((2x+1)ln(2x+1) - (2x+1)) + C. However, when I solve for it using integration by parts, I get 1/2((2x+1)ln(2x+1)) - x + C.... more
Does (lnx)^2/x^1.2 converge or diverge in the limits 1 to infinity
Does the integral converge or diverge? ∫1∞(lnx)2/x1.2 dx
Finding the work done ( calculus 3 )
Find the work done by the force field F=<z,x,y> on moving a particle from the point (3,0,0) to (0,pi/2,3) along the helix x=3cost, y=t, z=3sint
I've been trying to solve this problem for hours. Find the solution of the differential equation (ln(y))^4 dy/dx=x^4*y which satisfies the initial condition y(1)=e^2 y=?
Differential Equation Question
How would I write this in matrix form (x' = AX) x' = x y' = y Note: Is it supposed to be like this: x' = (1 v 1)(x v y) or x' = (1 + 0 v 1 + 0)(x v y)? Note: the "v" means the value after... more
A bucket that weighs 4 lb is lifted vertically at a constant rate of 2 ft/sec by means of a rope of negligible weight. As the bucket rises, water leaks out at a
A bucket that weighs 4 lb is lifted vertically at a constant rate of 2 ft/sec by means ofa rope of negligible weight. As the bucket rises, water leaks out at a rate of 0.2 lb/sec. If thebucket... more
show that there is an odd degree polynomial of every odd degree with no critical points
(in other words show that for any odd n there is a polynomial f(x) of degree n with no points x such that f(0)=0
Find the interval of convergence of the power series
Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval. If the interval of convergence is an interval, enter your answer... more
Find the minimum distance from the origin to the surface
Find the minimum distance from the origin to the surface z2 = (x-1)2+(y-1)2
What is the solution to the boundary-value problem?
y"-2y'+ (λ+1)y=0, y(0)=0, y'(L)=0
Confusion with differential equation applied as a matrix
http://i.imgur.com/PknZsfZ.png I'm confused on why the first row has values 0 + yk+1 + 0 and the second row has 0 + 0 + yk+2
Is Sin^-1 (x) = - Cos^-1 (x)
In integration, it is given as: Integration of 1/(1-x^2)^(1/2) = sin^-1 (x) and Integration of 1/(1-x^2)^(1/2) = - cos^-1 (x) Does this imply both are equal?
Calculus 2 The Fundamental Theory of Calculus help
Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of y=∫cos(u2)du for b=4x and a=cos(x). I don't quite understand what to do here.
Solving for t in this equation.
205e0.005t = 280 + t Please help me solve for t. I would like to know how to do it by hand.
Find all the vertical asymptote of secx.
Wouldnt it have an infinite amount ? how do I know though if its a negative infinity or positive?
How do you find the roots/zeros of polynomials, with just the equation?
How do you find the roots of polynomial equations with highest powers of either 3 or 4. Step by step directions would helike please. Well, i have tried those methods. I still cant find an... more