25. The point (0, 0) is the only critical point of the function f(,y)(2+y)++3 in the interior of the disk D +(+1 s 9/4). The following graph is of z .) restricted to the boundary of D, which is parameterized by -cost, y1n t, for 0s t s 2. Find the absolute minimum value of f(x, y) on D. (A) 0 (B) 2 (C) 3 25 3.25 (E) 2.9 (F) 3 (G) 3.25 (H) 4 25.. -8.25 (J) 9.25 3.75...
The phase plot for an ODE dy dx =f(y) dydx=f(y) is shown below. 4 3 2 1 2 1 1 1 1 2 3 (a) Which of these could be a plot of solutions y vs x corresponding to this ODE? 9 2 B. A. 2 2 3 C. D. You can click the graphs above to enlarge them. OA. A ов, в OC. C OD. D E which is choose (b) The smallest equilibrium of this ODE is y-...
Suppose the point (2, 4) is on the graph of y = f(x). Find a point on the graph of the given function. 21) y=3f(x - 2) - 5 A) (4, -3) B) (0, -3) (7) D) (4,7)
To which intervals could we restrict the domain of f to make it an invertible function? Choose all answers that apply: D None of the above 6 f(x) of 12 。。 D) None of the above y = f(2) 1 2 3 4 5 6 7 8 9 9 -8 7 -6-5-4-3 -2 -6 -7 -9 To which intervals could we restrict the domain of f to make it an invertible function? Choose all answers that apply: D None of...
(1 point) Suppose f (r,y)= P = (1, -2) and v=3i - 3j. A. Find the gradient of 1 Uf = 1 it -x/y^2 Note: Your answers should be expressions of x and y, eg "3x - 4y" j j B. Find the gradient off at the point P. (VA)(P) = 1 i+ -2 Note: Your answers should be numbers C. Find the directional derivative off at P in the direction of v. Duf = 9 Note: Your answer should...
A. (Leftovers from the Proof of the Pigeonhole Principle). As before, let A and B be finite sets with A! 〉 BI 〉 0 and let f : A → B be any function Given a A. let C-A-Va) and let D-B-{ f(a)} PaRT A1. Define g: C -> D by f(x)-g(x). Briefly, if g is not injective, then explain why f is not injective either. Let j : B → { 1, 2, 3, . . . , BI}...
0/1 point (ungraded) Which of the volumes below could also be used to describe the quantity 5 microliters (ul)? Select all that apply. А 5000 nanoliters (nl) B 500 milliliters (ml) С 0.005 nanoliters (nl) D 0.005 milliliters (ml) X Incorrect! Incorrect (0/1 point)
if (-4,2) is a point on the graph of y=f(x), find b such that (3,b) is on the graph of y=f(x-7). If (-4,2) is a point on the graph of y f(x), find b such that (3,b) is on the graph of y f(x-7). bType an integer or a simplified fraction.)
A B с D E F G H 2 3 Enter a number between 1 and 100 in a cell. Assume it is a grade and assign a letter grade for the score based on a standard 10 point scale (90-100 A, 80–89 B, etc.). You should use the appropriate IF statement to complete this question. It should be applicable for all scores, 0-100 and all letter grades A-F.
Figure 1 of 1 y (cm) Long wires a b 0 с 1 2 x (cm) -1 1 a. Use the RHR to find the direction of By at each of the three points and draw the field vectors on the figure. Be sure to clearly label your vectors. b. Use the RHR to find the direction of B2 at each of the three points and draw the vectors on the figure. Be sure to clearly label your vectors. c....