Find the Change in Revenue
Find the change in Revenue, R. In each case, that the number of units, x, increases by three from the specified value of x. dR/dx = 75 (20 + 900/x), x = 500.
Find the change in Revenue, R. In each case, that the number of units, x, increases by three from the specified value of x. dR/dx = 75 (20 + 900/x), x = 500.
Please help on these section 5.2 # 4,8 see attached Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t.
Please help solving these problems section 4.7 # 4,6,12 section 4.8 # 2,6,8,12 section 4.9 #4,8,12 See attached Find a general solution to the given Cauchy-Euler equation... Using the paradigm, what are the inertia, dampness, and stiffness.... Use the energy integral lemma.... Use reduction of order to solve....
There's three questions for this problem. Please show all work. Thanks!!! Find the radius of convergence for each of the following. Give reasons for your answers. (see attached)
See attached. Please show all the work. Thanks! Suppose converges for all x in Real Number to a solution to the differential equation a) Find a relationship among and for ? b) Compute ?
Please find Y2 Y"-4Y'+4Y=0 Y1=e^2x
Find the volume of the solid of revolution formed by rotating about the x-axis the finite region in Quadrant I bounded by the graphs of y=xcos(pi*x^3/2) and y=sqrt(1-x^6) and the y-axis. A. 9p/11 B. 9p/17 C.11p/17 D.11p/42 E.29p/42
See attached for equation. Write the characteristic equation for the linear homogeneous differential equation. Solve the characteristic equation, and write the general solution.
Please show all steps to solution (see attached). Solve the initial-value problem.
Please show all steps to solution. See attached for equations. Write the characteristic equation for the linear homogeneous differential equation. Solve the characteristic equation, and write the general solution.
Please help working on these attached problems section 4.5 #6,10,12,14,20,28,36,38 Thanks (6) Find a general solution to the following non homogeneous differential equation: y'' + 5y' + 6y = 6x^2 + 10x + 2 + 12 e^x; yp(x) = e^x + x^2 Decide whether the method of undetermined coefficients together with superposition
Hi, Please help solving these problems section 4.3 # 4,16,22,34,38 See attached The auxiliary equation for the given differential equation has complex roots. Find a general solution. Solve the given initial value problem. Prove the sum of angle formula for the sine function by following these steps.
Solve the equation: 4 * x^2 * y" - 4 * x * y' + 3 * y = 8 * x^(4/3) Please show all work and all of the required steps.
Please show all working for solution. Use the variation of parameters to find a particular solution to the nonhomogeneous equation y''+y=secx Write out the general solution.
A boundary stripe 3 inches wide is painted around a rectangle whose dimensions are 100 ft by 200 ft. Use differentials to approximate the number of square feet of paint in the stripe.
1.)f(x,y)= 5 - 3x + 4y, D is the closed triangular region with vertices (0,0), (4,0), and (4,5) 2.)f(x,y)= x^2 + 2xy + 3y^2, D is the closed triangular region with vertices (-1,1), (2,1), and (-1,-2) 3.)f(x,y)= 1 + xy - x - y, D is the region bounded by the parabola y=x^2 and the line y=4
1.)f(x,y)= 2x^2 + xy^2 + 5x^2 + y^2 2.)f(x,y)= ysquareroot x - y^2 - x + 6y.
Find the local maximum and minimum values and the saddle points of the functions. 1.)f(x,y)= xy(1-x-y) 2.)f(x,y)= (x^2y^2 - 8x + y)/(xy)
When a foreign object gets stuck in your windpipe you cough. The radius of your windpipe contracts so as to increase the air velocity and dislodge the obstruction. It can be shown that air velocity is related to windpipe radius by v(r) = (r0 - r)r^2 ,where r0 is the usual 'rest radius' of the windpipe. Physical constraints preve
Please help on the following problems. 3.3 # 8,10,12,15 3.4 # 8,10,18,24 3.5 # 2,4,6,8.
A differential of volume is given by: dV = r^2*sin(theta)*dr*d(theta)*d(phi) can you derive this for me i.e. using a differential of volume and spherical coordinates show how this equation is arrived at? r is a radius, theta is the angle in the x-y plane and psi is the the z-y plane Please show a diagram
2.8 Exercises Find the linearization L(x) of the function at a. 2. f(x) = 1/sqrt(2 + x), a = 0 Explain, in terms of linear approximations or differentials, why the approximation is reasonable. 16. (1.01)^6 ~ 1.06 24. Use differentials to estimate the amount of paint needed to apply a coat of pain 0.05 cm thick to
I came across the following limit while studying and I'm having trouble doing this algebraically. Please help. lim (3sin4x/sin3x) x->0.
Find the gradient of f Evaluate the gradient at the point P Find the rate of change of f at P in the direction of the vector u f(x,y,z)= xy^2z^3, P(1,-2,1), u=<1/squareroot(3), -1/squareroot(3), 1/squareroot(3)>.
See file for problem. Find the probability that the sum of two randomly chosen positive numbers....
See attached let W be the region consisting of all the points (x, y) such that -1<=x<=1 and 4/(5+2x+x^2)<=y<=1. Compute the volume of the solid generated when W is rotated about the line y=1. Calculus with parametric curves
Please show the work.
I have to solve the following quasilinear equation using the method of characteristics: xu_x + yu_y = xy u|y=x^2 = sinx dx/dt = x gives me lnx = t +c_1 dy/dt= y gives me lny = t + c_2 But what do I do with du/dt = xy - yu? Thank you.
Please see the attached file regarding homework specifics. Thank-you for your help.
Please see the attached document regarding homework specifics. Thank-you for your help. I have attached both versions of Microsoft Word (just in case). Let f: ℝ3 → ℝ be differentiable. Making the substitution x = ρ cos(θ) sin(φ), y = ρ sin(θ) sin(φ), z = ρ cos(φ)