6 Part Question:


6 Part Question: (x, e, 1), (y, e, 1), PlotRange (A11, All, (e, 30)) 1- xy 1 Plot3D In 30 1.0 20 Ouf 10 0.5 0.0 0.5 0....
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x = 7.5 x 2.5 0.5 0.0 -0.5 0.5 0.5 t 0.0 -0,5 t 00 10 5 20 5 20 5 20 x 7.5 x=5 1.0...
1. (25 points) The figure below shows the contour plot of f(x,y)-3 -1 - 2y+y. (Credit for the figure is due to UMich instructors.) 6.00U 6.000 1.5 1.0 0.5 0.0 0.5 1.0 1.5 6.000 2.0-1.5-1.0-0.5 0.0 0.5 1.0 1.5 (a) Find all critical points of f. There should be six. Mark them on the contour plot. (Think, but don't write, about how to guess the critical points from the contour plot.) (b) Find f-,) v(,),and fp()-fy(, y) (c) Try to...
(a) Use Stokes' Theorem to evaluate F. dr where F(x, y, z) - x2yi +1x3j+xyk and C is the curve of intersection of the hyperbolic paraboloid z - y2 - x2 and the cylinder x2 + y2 - 1 oriented counterclockwise as 3 viewed from above (b) Graph both the hyperbolic paraboloid and the cylinder with domains chosen so that you can see the curve C and the surface 1.0 1.0 0.5 у0,5 0.0 0,0 1.0 1.0 0.5 0.5 0.0...
Exercise 6.18 Given ϵ0 x = ϵ0 y = γ0 xy = 0 and κx = 1.0 m−1, κy = 0.5 m−1, κxy = 0.25 m−1, compute the strains (in laminate coordinates) at z = −1.27 mm in the laminate of Exercise 6.7. Exercise 6.7 Find σ1, σ2, and σ6 at z = 0, on both laminae of a laminate [±30]T subject to Nx = 1 N/m (all remaining forces and moments equal to zero), with t1 = t2 =...
Question 4 (1 point) A proton is located at x = 1.0 nm, y = 0.0 nm and an electron is located at χ = 0 0 nm, y = 4.0 nm Find the attractive Coulombic force between them. (The value of k is 9.0 x 10 N m2/C2.) A) 14 x 10 11 N B) 5.3 x 1018 N C) 5.9 x 10 15 N D) 5.3 x 108 N Save
QUESTION 12 6 points Integrate the function Fi,y) + over the rectangle 0<x<1.0 Sy<1. OA. (1 + ج - قم -5 CB. (1- د - أم - CC, (1+نم - ام - کی O D. 1 (1- م ام که E. | شی ب ام و
Question Cont'd
X 1 2 0.0 Most restaurants offer free refills for its customers who purchase a fountain soft drink. A certain buffet restaurant currently doesn't. But, it has been argued that customers who drink more soft drinks tend to eat less and, thus, cost the restaurant less for the meal the customer eats. To test this argument, this restaurant offered free refills to a sample of 6 of its customers. The total number of glasses each customer drank, X,...
there is first question E then there is the question
of the value of the line integral ,then quwstion A, then question
1, and the last two pictures are one question
Question E (5 points) By Green's theorem, the value of the line integral y 4 is: , where C is the curve given by a) 3 c) 12t d) 27T e) If none of the above is correct, write your answer here in a box rover the line segment...
Please show all the work to complete the question and explain
each step, please. Thank you!
Let F(x, y) e*y (y cos x - centered at (1,0) in the first quadrant, traced clockwise from (0,0) to (2, 0). And suppose that C2 is the line from (0,0) to (2,0). sin x) xexy cos xj. Suppose that C1 is the half of the unit circle (A) Use the curl test to determine whether F is a gradient vector field or not....
Question 1: Colin's utility function for goods X and Y is represented by U(XY) = X0.5Y0.5 . Assume his income is $1000 and the prices of X and Y are $50 and S100, respectively. a. Write an expression for Colin's budget constraint. b. Calculate the optimal quantities of X and Y that Colin should choose, given his budget constraint. Graph your answer. Suppose that government subsidy program lowers the price of Y from $100 per unit to $ 50 per...