### Please solve using Maple 10 and include all data and graphs

Using maple 10 do the following: a. Using a graph(s) estimate the local max., min., and saddlepoints of f(x,y)=x^3-3x+y^4-2y^2 b. Again using Maple use calculus to find these values exactly

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Using maple 10 do the following: a. Using a graph(s) estimate the local max., min., and saddlepoints of f(x,y)=x^3-3x+y^4-2y^2 b. Again using Maple use calculus to find these values exactly

(See attached file for full problem description)

Please explain in as much detail as possible finding an equation in standard form for each conic. 1) Parabola, focus (-4,0), directrix X=2 2) Hyperbola, foci (0, +/_3), vertices (0,+/-1) 3) Ellipse, center (2,2), a focus (0,2), vertex (5,2)

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4. Let h(x) be a function deflned for all ... such that h(4) = ?3 and the derivative of h(x) is given by .... (a) Find all values of x for which the graph of Ii has a horizontal tangent, arid determine whether 1 has a local maximum, a local minimum, or neither at each of these values. Justify your answers. (b) On what interval

1.) determine lim An= (n^2-11n+22)/(3n^2+29n+19) 2.) sketch graph 2x^2-4x+y^2+4y=10

Prove that if Series An (small "a", sub "n") is a conditionally convergent series and r is any real number, then there is a rearrangement of Series An whose sum is r. [Hints: Use the notation of Exercise 39 (I'll show below). Take just enough positive terms An+ so that their sum is greater than r. Then add just enough negati

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(See attached file for full problem description) --- 1) Consider the following function: a) f (x) = 9x2 - x3 b) f (x) = x + 1 x - 2 c) f (x) = x2/3 (x - 5) for each of the above functions complete the following table. Show the work to justify your answers below the table. f(x) is i

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In a backyard, there are two trees located at grid points A(-2,3) and B(4,-6). a) The family dog is walking through the backyard so that it is at all times twice as far From A as it is from B. Find the equation of the locus of the dog. Draw a graph that shows the two trees, the path of the dog. and the ralationship defining

6) If a nation's consumption function is given by : C(I) = 0.3I + 0.8 √I + 6 where I is national income, measured in billions of dollars a) Find the nation's marginal propensity to consume b) Find the nation's marginal propensity to save c) Evaluate the marginal propensity to save when I = 64

3) A wholesaler that sells computer monitors finds that selling price "p" is related to demand "q" by the relation p=280 - .02q where p is measured in dollars and q represents number of units sold a. Find the wholesaler's Revenue function as a function of q, using Revenue = (price) (quantity) b. Find the expression for Mar

We use the notation X ~N(μ, σ2) to indicate that the density function for the continuous random variable X, fx(x), has the form .... (a) If X ~N(μ, σ2) show that..... (Hint: you will need to know how to find the density function for X ? μ from the density function for X). (b) If ...., and X1 and X2 a

1. (a) Find the eigenvalues and eigenfunctions of the boundary-value problem. x2y'' + xy' + λ y = 0, y(1) = 0, y(5) = 0. (b) Put the differential equation in self -adjoint form. (c) Give an orthogonality relation. 2. Hermite's differential equation y'' -2xy' + 2ny = , n =

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The hemisphere is given by f (x,y) = sqrt 64 - x^2 - y^2. Sketch a contour map for this surface using the level curves corresponding to c = 0,1,2,3,4,5,6,7,8 Since this is an example shown in the book, I can see that when c = 8 you draw a circle with a radius of 8 and when c = 0 you have a point at the center of the circle.

The differential equation is: d²y/dx² - y = xe^x For the first part of the general solution, I got y=Ae^x + Be^-x where a and b are constants. Now I need to find the particular solution. Thanks.

Please see the attached file for the fully formatted problems. Please do problems 3 - 8, 10, 12, 14, 16 - 40 even, 42 ,44,45-49, 54 - 60 odd.

Please find the general solution of the nonhomogenous second order linear differential equation below by following these steps: 1. Find the general solution y= C1y1 + C2y2 of the associated homogenous equation (complementary solution) 2. Find a single solution of yp of above.(particular solution). 3. Express the general so

Find the particular solution of the general equation below, given the initial conditions. Please show all details in the solution, simplifying if possible. Thank you. y=C(e^(-2x))sinx + C(e^(-2x))cos x y(0)= 1 y'(0)= 0

Please find the particular solution of the differential equation below satisfying the given initial conditions. The equation needs to be put in standard form (s² + bs + c = 0). The roots need to be found, and then plugged into the appropriate general formula that satisfies whether b² + 4c is less than, greater than, or equa

Use a graph and level curves to estmate the local maximum and minimum values and saddle points of f(x,y) = x^3 - 3*x + y^4 - 2*y^2; then use calculus techniques to find these values precisely.

At time t = 0 a baseball that is 5 feet above the ground is hit with a bat. The ball leaves the bat with a speed of 80 feet per second at an angle of 30 degrees above horizontal. a) How long will it take for the baseball to hit the ground? b) Use the result in part a to find the horizontal distance traveled by the ball. Ple

1. For a thermodynamic process involving a perfect gas, the intial and final temperatures are related by: where is the specific heat capacity of the gas, is the change of entropy and and are the initial and final temperatures of the process. Determine the value of if and . 2. The overall efficiency of a gas turbi

Find the general solution of the Bernoulli equation: dy/dx -y/x = (y^4 cosx/x^3) A fully charged capacitor is discharged and the current i(t) flowing through a series of RC circuit at time t satisfying the equation: 1540 di/dt +800i =0. Given that E=115 V, draw the complete RC circuit and sketch the current (i) waveform.

Please answer the attached questions. On question #3 the last two mutliple choice options didn't scan they are: c.Yes, the limit exists, and is equal to -1. d. Yes, the limit exists, and is equal to 0.