Need help with calculus homework problems. In Exercises 41-48, find dy/dx 44. 5x 4/5 + 10y 6/5 = 15 ____________________________________________________________________ 54. a. By differentiating x 2 - y2 =1 implicitly, show that dy/dx = x/y b. Then show that d2y/dx2 = - 1/y3. ____________________
Hi I'm stuck with this one; How do I find the volume of a solid limited by z=x^2+y^2 and z=4x?
The Valve Division of Bendix, Inc, produces a small valve that is used by various companies as a component part in their production. Bendix, Inc., operates its divisions as autonomous units, giving its divisional managers great descretion in pricing and other decisions. Each division is expected to generate a mimimum required
Please see the attached file for the fully formatted problems. 1. The roots of the auxiliary equation corresponding to a certain 12th order homogeneous linear equation with constant coefficients are: 2, 2, 2, 2, 2, 2, 1, 4, 3+4i, 3-4i, 2+5i, 2-5i Write the general solution 2. Find the general solution to y"- y= x^3
Please see the attached file for the fully formatted problems. Let gamma be given on 0<u<1 by (x,y)=(1-u,u) The vector field (F1,F2) is a gradient field. Compute: Integral over gamma of Fdx+F2dy Where: F1 = x*y^2 F2 = x^2*y
Hello, I need a detailed solution to the attached problem. Using an appropriate transform solve the boundary value problem... ** Please see the attached file for the complete problem description **
A Ladder 25 feet long is leaning against the wall of a house ... (Please see the attachment for the figure and questions)
Show that y=t and y=1/t are solutions of t^2*y" + ty' - y = 0 Determine the following solutions of this equation, or explain why none exist. y(1)=0, y'(1)=2 all solutions satisfying y(t)=0 as t approaches zero all solutions satisfying y(t)=0 as t approaches infinity.
How do I find the Taylor series for this function: (1/x) Integral(x to 0) (e^t - e^-t)/2t dt. ...up to 4 terms? And the approximate value at x = 1.
Define the unit ramp function by ... 1. Determine the Laplace transform of H(t) 2. Use the Laplace transform to solve the ODE ..... Questions: 1. To determine the Laplace transform, do we use ..... ∫ (note the difference in integration limits). I know both integrals will give the same answer. But I am confused bec
The unit ramp function H(t) is defined by H(t) = 0 t < 0 t t > 0 a) Determine the Laplace transform of H(t) b) Solve the ODE y''+y = H(t −1) y(0) = 0 y'(0) = 0 
using
 Laplace
 transforms.
 Please see attached file for proper formatting.
------ Consider
 the
 differential 
equation
 
 y'' +(1/x)y'-(1+9/(4x^2))y=0 1. Determine the location and type of all singular points. 2. For regular singular points, determine the indicial equation that gives the leading exponents of a Frobenius expansion. 3. Find a series solution ab
Suppose you want to conduct a survey of the attitude of psychology graduate students studying clinical psychology toward psychoanalytic methods of psychotherapy. One approach would be to contact every psychology graduate student you know and ask them to fill out a questionnaire about it. a) What kind of sampling method is this?
Using the existence-uniqueness theorem show that the following IVP has a solution but it is not unique: y''+y'/x-9y/x^2=0 y(0) bounded general solution: y=Ax^3+Bx^{-3}
Consider the differential equation (d^2y/dt^2) + 3(dy/dt) + 2y = u where y(0)=dy(0)/dt and u(t) is a unit step. 1. Determine the solution y(t) analytically. Please Show all steps and explanation of each step Thank You
Please help working on these problems. Please show all steps section 7.6 # 6,9,12,26,36 See attached. Express the given function using unit step functions and compute its Laplace transform. Determine an inverse form of the given function. Determine L(f), where the periodic function is described by its graph. Solve
Please show all steps for the following problem. Section 7.5 # 4,8,16,20,26 Please see the attached file for the fully formatted problems.
Explore the following function. You are to decide which of threee lines given are tangent to the graph of f(x) at given points. The function to define is F(x)=2x^3-4x^2+3x-5 The possible tangent lines are: y= x-5 y= 2x-5 y= 3x-5 a) what is/are the zero(es) for this function? In other words, what is the solu
Please work on problem #2 L^-1[(2S + 3)/(S^2 + 2S - 8)]. Please see the attached file for the fully formatted problem.
1. L [te^2t sin 3t] 2. L^-1 [(2s + 3)/(s^2 + 2s - 8)] Please see the attached file for the fully formatted problems.
I can't seem to grasp the concept of L'Hopital's Rule. How do you know whether to use it or not in evaluating a limit? If anyone could answer this and give me a step by step example for how to solve this that would be extremely helpful (the more complicated the example, the better, since the examples on our tests will be very
When the Olympic Games were held outside Mexico City in 1968, there was much discussion about the effect the high altitude (7340 feet) would have on the athletes. Assuming air pressure decays exponentially by 0.3% every 100 feet, by what percentage is air pressure reduced by moving from sea level to Mexico City?
Find the equation of a tangent line to the function at the indicated point g(x) = 2 + e^(3x^2) (0,3)
Please show all steps to solution.
The attached file has all the information about this problem. On this problem, we know from a previous problem that the Legendre polynomials satisfy the DE. It is a second order DE. Usually these have two linearly independent solutions. Are these the only polynomials that satisfy the DE, or is there another set, linearly ind
Attached SALES GROWTH: The rate of change in sales S (in thousands of units) of a new product is proportional to the product of S and L - S. L (in thousands of units) is the estimated maximum level of sales, and S = 10 when t = 0. Write and solve the differential equation for this sales model.
Attached INVESTMENT: Let A be the amount in a fund earning interest at the annual rate of r, compounded continuously. If the continuous cash flow of P dollars per year is withdrawn from the fund, then the rate of decrease of A is given by the differential equation: dA/dt = rA - P where A = A_0, when t = 0 a) solve t
See attached. Match the solution of the differential equation in the text to the following differential equation: Differential equation in text = y' + P(x)y = Q(x) (standard form) NOTE: 1) write the equation in standard form 2) find the integrating factor: u(x) = e^(ʃP(x)dx) 3) evaluate the integral to find the
SALES: The rate of increase in sales S (in thousands of units) of a product is proportional to the current level of sales and inversely proportional to the square of the time t. This is described by the differential equation: dS / dt = kS / t^2 where t is the time in years. The saturation point for the market is 50,000 u
Attached Verify that the function is a solution of the differential equation: Y = Ce^-t + 10 y^1 + y - 10 = 0