tl tt traRlo 2) The table below shows some values for a function questions. Use the...
Answer all parts please. (calculus/contour/gradient/max/min) The figure to the right shows the contours of a smooth function z = f(x,y) . a. 2 pes Label a point A on the contour graph where the gradient ofpoints in the same direction as-i+j. b. 2ps Label a point M on the contour graph where lgrad appears to be largest c. 4 pts Estimate the locations and values of the maximum and minimum of f(x, y) subject to the triangular constraint x+ys8, x20,...
1. (2 pts each) The graph of some unknown function f is given below. 10 6/ 8-64-2 624 10 12 Use the graph to estimate the following quantities: (0 f (9) (g) f(4) b) lim (a) lim (e) (d) lim ( 6) (e) lim f(x) (c) lim f(x) if g(x)f(x) 6) a value of r where f is continuous but not differentiable (k) a value of r where f"(x) 0 and f"(x)>0 (1) the location of a relative maximum value...
The table shows some values of the derivative of an unknown function f. Complete the table by finding the derivative of each transformation of * -2 -1 0 1 2 3 possible. (If an answer is undefined, enter UNDEFINED - 13-3----- OX) x) (a) o(x) = f(x) - 3 -2 -1 0 1 9x) 5 x 233 x 26/3 (b) h(x) - 2x) 2 (c) (x) = f(-3) rex) OX) UNDEFINED U NDEFINED UNDEFINED U NDEFINED U NDEFINED U NDEFINED...
please explain the steps to your solution using Microsoft excel to Compute the answer 7) From x-1 tox-2, find the values of the function whose derivative is dy Inx) + xy dx using the 2"d order Runge-Kutta approximation and a Ax of 0.1. At x 1, y-1. 7) From x-1 tox-2, find the values of the function whose derivative is dy Inx) + xy dx using the 2"d order Runge-Kutta approximation and a Ax of 0.1. At x 1, y-1.
3) Determine the values below using the graphs of fand g shown. If a value is not defined, state "not defined." Assume the ends of fand g continue the shape you see beyond the graph. Ax) c) 2-5(g(0)-3) (Read carefully.) d) 9(3) a e) g-2) 6-2 9) R-3)+9(5) h) For what values of x does g(x)-2? i) For what values of x is fdecreasing? D For what values of x is g increasing? k) Give three values that g(x) can...
The table gives the values of a function obtained from an experiment. Use them to estimate Ox) dx using three equal subintervals with right andpoints, left endpoints, and midpoints. 3 4 5 5 7 8 9 FO) -3.5 -2.1-0.70.2 0.8 1.4 1.8 (*) Estimate x) dx using three qual subintervals with right endpoints. R- ки If the function is known to increasing function, can you say whether your estimate is less than or greater than the exact value of the...
3. Consider the wave function (x, t) = Ae-2 -ut Where A, 2, and are positive real constants. (a) Normalize Y. (b) Determine the expectation values of x and x?. (c) Find the standard deviation of x. Sketch the graph of V', as a function of x, and mark the points (x) + a) and (x) -o to illustrate the sense in which represents the spread" in x. What is the probability that the particle would be found outside this...
3. DO NOT USE CALCULATOR for this problem! Find the EXACT VALUES for all the parts. Given the function f(x,y) (a) Calculate the total differential of z at the point (x, y, z) (b) Use the total differential to estimate the value of f(1+2(10200),-1 3(10-200). [ Hint : dz= 2(10-200) dy=_3(10-200)]. (c) Calculate the exact diffe ( f(1.-) I Note: total differentiala exact difference. ] rence of f(1+2(10-200)10 200))- (d) Find an equation for the plane s-L(x,y) tangent t(:-: f(z,y)...
2 Precise Definition of a Limit Let fbe a function deined on some open interval that contains the number a, except possibly at a itself. Then we say that the limit of fla) as r approaches a is L, and we write lim f)-L (x) = if for every number ε > 0 there is a number δ > 0 such that 0<lx-a |<δ If(x)-L| < ε if then For the limit 2x tii illustrate Definition 2 by finding values...
with work shown For each problem, use a right-hand Riemann sum to approximate the integral based off of the values in the table. You may use the provided graph to sketch the function data and Riemann sums .19 14 4)fx) dx 3) f(a) dax 0 x049 10 12 19 x 0359131-4 f(x) fix) 0.5 2 46 8 10 12 14x 2 4 6 8 10 12 14 16 18x -0.5 1.5 -2.5 -6 For each problem, use a right-hand Riemann...