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Question: All the derivatives of g exist at x = 0 and g has a critical point at x = 0.
(a) Write the nth Taylor polynomial for g at x = 0.
(b) What does the Second Derivative test for local maxima and minima say?
(c) Use the Taylor polynomial to explain why the Second Derivative test works.
Display a matrix A and an echelon form of A. Find bases for Col A and Nul A, and then state the dimensions of these subspaces.
Does the graph of this equation open up or down? How did you determine this?
Write a MATLAB M-file to compute the double integral below using the composite trapezoidal rule with h = 0.1 in both the x- and y-directions. You may use the MATLAB built-in function"trapz" (or the "trap.m" discussed in class and available Canvas) in..
Express the distance (d) traveled as a function of the number of hours (h) at an average speed. The Morris family is traveling from Providence to Fredricksburg.
For each of the following examples, discuss whether it is a private good, a public good, a common property resource, or an artificially scarce good.
Write an expression for a right-hand Riemann sum approximation for this integral using n subdivisions. Express each xi, i = 1,2,. . . ,n, in terms of i.
A square of side has been cut from all sides of a rectangular plate of size 9X13 to form a box. find the domain of volume function
Show that the Sierpinski carpet has Lebesgue measure 0. Show that the Sierpinski carpet has Hausdorff dimension log3 8. Show that for s 0 by integrating e-sx sin2xy with respect to x and y.
(a) Find the transition matrix corresponding to the change of basis from [e1, e2, e3] to [u1, u2, u3]. (b) Find the coordinates of each of the following vectors with respect to [u1, u2, u3].
Show that T (x) = 0 has a nontrivial solution
the resident population of south california (in thousands) was 3860 in 1997 and 4107 in 2002 .let t equal 7 represent 1997. write linear model for the population as afunction of time t.
A farmer has a rectangular pasture with dimensions x by 2x. If he places posts 15 ft. apart, how will he represent the distance between each post on the shorter side? on the longer side?
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