
Consider the following. у y=x (1,1) х 2 4 6 10 -2 x = 8 -4 y = 2 - x -6 -8 (a) Form the integral that represents the area of the shaded region. dx (b) Find the area of the region. (Give an exact answer. Do not round.)
Find the values of x and y in the figure. x = y = (3y + 1) (4x - 5) (3x + 11) 10. [-/1 Points] DETAILS GGEOM1 3.TB.002. MY NOTES Find the value of x that will allow you to prove that BC || DE if m 1 = 105 and m_2 = 5x - 40. O 23 O 75 O 110 O 22 B 1 D 2 2
A 12-N force is applied at the point x=3m, y=1m. Find the torque about the origin if the force points in (a) the x direction, (b) the y direction, and (c) the z direction. Part A For example, for vector <1,1,1> enter i^+j^+k^. Part B For example, for vector <1,1,1> enter i^+j^+k^. Part C For example, for vector <1,1,1> enter i^+j^+k^.
6. Consider the following constrained maximization problem: 2 5 tu (х, у) x7y7 max х,у s.t Рxх + pуy < м 3, py = 4, M = 12. Answer the following questions with px a. Write down the Lagrangian function b. Derive the first order conditions c. Derive the optimality condition from those conditions d. Write the other optimality condition (since there should be two in order for us to solve for two unknowns) e. Find the optimal values for...
(1 pt) Consider the following two systems. 1 3x - y 3x -y -3 () Find the inverse of the (common) coefficient matrix of the two systems. A-1 (i0 Find the solutions to the two systems by using the inverse, i.e. by evaluating A hand side (i.e. B_ Solution to system (a):x- Solution to system (b):x- B where B represents the right 2for system (a) and B- -4 for system (b) "У
variables X and Y have the following joint probability mass function: У p(x, y) -2 2 -1 .08 .02 .20 .40 х .12 .18 Find the variance of Y. Find the covariance of X and Y. Find P(X > Y|X +Y > -2).
Find the value of x, y, and z in the figure. y = IM 50° Sp- 72-30 . [-11 Points] DETAILS GGEOM1 3.TB.001ALT. MY NOTES Find the value of x that will allow you to prove that DE if m1 = 110 and m 2 = 3x + 4 O 12 O 22 23 15 B D
Find the components of the three vectors as shown. a-8m, b-6m, c-5m. Find a+b-č both, graphically and analytically. 1. CL 30° 40° 20 2. Find i j k in unit-vector notations. Is it a unit-vector? Justify your answer 3. Vector ã is 3m long and is 60° above x-axis in the first quadrant. Vector b is 5m long and is 50° below the x-axis in the fourth quadrant. Find a) + b, b) а-b, c) b-a. Provide answers to a)-c)...
graph please
47. x + y = -3 Find - and y-intercepts In the following exerases o g bercise find me and indoor an gran b --2-102 In the following exercises, find the intercepts for each equation 38. x - y = -4 37. x-yas 39. 3x + y = 6 40. x - 2y = 8 41. 4x - y = 8 42.5x - y = 5 43. 2x + 5y = 10 44 3x - 2y = 12...
2. Given two initial value problems, у" — р(г)у +q()у +r(x) with a <I<b,y(a) — с,1 (а) —0 (1) and у" — р(г)у + g(х)у with a < r <ь,y(a) — 0, and / (а) — 1 (2) [a, b) where p(x), q(z) and r(x) Show that given two solutions yı(x), y2(x) to the linear value problems above, (1) and (2), respectively, then there exists a solution y(x) to a linear boundary value problem above where y(a) %3D 0, у...