Jacob places $20 a week into an annuity to by a new boat. He receives 6% APR and saves for 10 years. How much money did he save up to spend on his new boat?

The two different investment offers: 6% compounded yearly, or 5.85% compounded weekly. Find the APR for each and determine which is a better investment.

There's initially 16 ants in the ant farm and 2 months later there were 24 ants. The box says the farm can hold a total of 1000 ants. Find the equation and determine when there will be 750 ants.

How do I find the dual of this? Thanks for your attention! F := evalDG(E1*dt &t dx + E2*dt &t dy + E3*dt &t dz - E1*dx &t dt - B3*dx &t dy + B2*dx &t dz - E2*dy &t dt + B3*dy &t dx - B1*dy &t dz - E3*dz &t dt - B2*dz &t dx - B1*dz &t dy Jim Bowmer.

Dear Maple community, I want to produce an animation of a double-napped cone and the plane for my worksheet. Have spent a few months attempting this to no avail (and lost the kernal once or twice). Can anyone help? Assistance is much appreciated. Thank you. Audrey Kirfoot

I have problem with this double integral int int (sqrt(1-x^2-y^2)) and x^6+y^6

Show that the substitution x -> (1-x)/2

Show that Legendre's equation has regular singularities at x = -1,1, and Infininty

Verify that laplacian(psi(r,theta,phi)) + [k^2 + f(r) + (1/r^2)*g(theta) + (1/(*r^2*(sin(theta))^2))*h(phi)]*psi(r,theta,phi) = 0

Radioactive nuclei decay according to the law dN/dt = -lambda*N

1: A boat coasting through the water, experiences a resisting force proportional to v^n

The attached file is an example of a set of equations that define a gearbox composed of 4 planetary gearsets. The first 4 equations are the kinematic constraints. Where "r" indicates the size the sun or ring gear and "w" is the speed of the sun, ring, or carrier. The next 4 equations simply define new parameters (R_n) for the ratio between the size of the ring and sun gears. The last 5 equations define how these gears are connected. My question is how can I (or is it possible) to complete this worksheet in a generic way to solve for the speeds of any of the nodes in terms of some defined list of nodes and the parameterized gearbox sizes? In this example, there are 3 degrees of freedom so I might wish to solve for w[R3] (a dependent variable) in terms of w[R1], w[S2], w[S4] (independent variables), and all the parameters. The generic part comes from needing to be able to change the last 5 equations (including adding or subtracting equations) and perhaps the list of dependent and independent variables.

I have been trying to solve a larger problem (recovering data from blurred photos) and i have hit a snag. Consider an area in the plane, for example a circle with radius r=1 and centre C defined by some parametric equation, fx C=(t,0). This would give us an area A defined by (x-t)^2+y^2 <>. My aim is to construct a function f(x,y), where the value of f for any point (x,y) is equal to the range of t-values for which the point is inside the circle, with t being in the interval from 0 to T. I would really like som help in finding a method for finding f(x,y). The aim of this function would be to calculate how the image data from any single pixel would be spread over other pixels due to camera shake, with the camera shake being given by the parametric equation for C.

Hi guys, we've got a Fourier transform problem here. This is how we calculate Fourier coefficient: 4/pi*int(cos(3*x)*cos(n*x), x=0..Pi/2) (we try to expand cos(3*x)) so here we got the answer 12*cos((1/2)*Pi*n)/(Pi*(-9+n^2)) correcr answer, you see, is B3=1; but when we write this: 4/pi*int(cos(3*x)*cos(n*x), x=0..(1/2)*Pi)assuming n=3 the result shown is zero. we don't know how it works. because this value is evaluating correctly: 4/Pi*int(cos(3*x)*cos(3*x), x=0..(1/2)*Pi) the answer is right - 1.

I'm pretty new here, in maple and I think I'm not very good in math too but I would like to discover how to limit or set the domain of my x. Example: sin(x); I would like to set the type of the x to N (natural) and the type resulting to R (real). But after hours and hours of searches on google I subscribed to ask this to you, gentlemen :P Thank you everyone