### Determine the Laplace transform of the function.

Please see attachment Determine the Laplace transform of the function.

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Please see attachment Determine the Laplace transform of the function.

Maximize f(x,y) = sqrt(6- x^2 - y^2) given the constraint x+y-2=0.

Find the Taylor polynomial of degree 4 of at c=4 and determine the accuracy of the polynomial at x=2.

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Please see the attached file for the fully formatted problems. Prove that if D is the closed disc |x| =< 1 in R2, then any map f E C2[D --> D] has a fixed point: f(x) = x. The proof is by contradiction, and uses Stokes theorem. Follow the steps outlined below. (1) Define a new map F(x) = ... ..... Show that F has no fixe

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1. Let h(x) = (8x - 5)/(7-x). (a) Find the inverse of the function h. Show work. (b) What is the domain of h? What is the domain of the inverse of h? 2. Use a calculator (standard scientific calculator or the online graphing calculator) to find each of the following values. Write your answer rounded to 4 decimal places.

The discrete rv W has the pmf pw(W) = klog[(w+1)/w] for w = 2,3,4,5; 0 otherwise k = 1/ log(3) (a) deduce the mgf of W (b) Calculate E[W] and var[W] using the mgf (c) Determine and sketch the distribution function of W

Please see the attached file for the fully formatted problems. (a) FIND the Green's function for the operator with L = + w2 with u(a) = 0 dx2 u(b) = 0 and a < b, w2 a fixed constant. i.e. SOLVE Lu = ?ö(x ? ) with the given boundary conditions. (b) Does this Green's function exist for all values of w? If NO, what are the

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Find the equation of the line tangent at the point (4,1). Given: sqrt(y) + x(y^2) =5

Can you please assist me withthe following problems. Please show the steps so that I can follow and gain a better understanding. Thank you for your assistance in this matter. Page 364-365 #6, 22, and 62 Page 371 Matched Problem 4 Page 373-375 #6, 12, 26, 44, 46, and 52.

Find the slope and Y-intercept of: 1) -4Y=5X-6 2) 4X + 5Y = -20

A) Explain what is the y-intercept and which letter represents it in the equation y = mx +b. b) If a and b are positive numbers, what is all the information we can deduce about the relationship between the lines: L1: y = - ax + b and L2: y = (1/a)x + b?

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Graph an ellipse as a polar function with center at the pole and parameterized by the lengths of the semi-major and semi-minor axes. Can someone please show me step-by-step on how to do this?

Please see the attached file for the fully formatted problems. Let f be the function defined by f(x) = sigma (starting at n=1 ending at infinity) xnnn /(3n n!) for all values of x for which the series converges. a) Find the radius of convergence of this series b) Use the first three terms of this series to approximat

Please see the attached file for the fully formatted problem. Express d(xa) in terms of the Dirac delta "function" d(x), where a is a non-zero constant.

Please see the attached file for the fully formatted problems. Can you please help me with the following circled problems? Page 187 1. a) 12, b) 14, c) 16, d) 18 (Check for all four of our symmetries SY, SX, SO, SI; consult in WEEK7 NOTES, in COURSE CONTENT. Practice graphing these using the downloaded graphing utility Gr

Explain about Reflecting a graph about y-axis and sketch the graph of g(x)=sqrt(-x)

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