" Let D be the area in the xy-area limited by the sides of a threesome ABC with the top points A (1,1), B (1,2) and C (2,2).
Find the volume of the object you get when the D is turning around the line x = 10/3."
please show how you would solve this.
" Let D be the area in the xy-area limited by the sides of a threesome...
Let ? be the area in the ??-plane bounded by the sides of a triangle ??? with the vertices ? (1.1), ? (1.2). ? (2.2). Find the volume of the body you get when ? rotates the line ? = 10/3.
i K + A B C D W 2,2 5,0 3,6 4,1 X 1,3 2,2 4,5 1,2 Y 3,1 1,1 5,3 6,0 27 DETE 1. (5 points) Find all strictly dominated strategies in this game. 2. (10 points) Find the set of rationalizable strategies for each player. 3. (10 points) Find all the Nash equilibria..
4. (10 points) The sides of a cube are increasing at a rate of 2cm . Find the rate at which the volume of the cube is increasing when the sides are 4cm long. V = x3 3. (12 points) Given x2 + xy + x + y2 = 0 find my
13. Let D be a region in the xy plane. Let A-dx dy JJ D Let aD be the region in which every point (x, y) in D is replaced by (az, ay) for α 0. Interpret the double integral as a Riemann sum and find the area of aD in terms of A and a.
in urgent need with help on these three
What point on the line y-7x + 8 is closest to the origin? Let D be the distance between the two points. What is the objective function in terms of the x-coordinate? (Type an expression.) a. Find the radius and height of a cylindrical soda can with a volume of 398 cm3 that minimize the surface area. b. Compare your answer in part (a) to a real soda can, which has a...
Problem l: Let u, v and w be three vectors in R3 (a) Prove that wlv +lvlw bisects the angle between v and w. (b) Consider the projection proj, w of w onto v, and then project this projection on u to get proju (proj, w). Is this necessarily equal to the projection proj, w of w on u? Prove or give a counterexample. (c) Find the volume of the parallelepiped with edges formed by u-(2,5,c), v (1,1,1) and w...
3. (10 points) Find the equation of the tangent line to the curve x² + xy + y2 = 3 at the point (1,1).
5. (a) Let u 1,4,2), ,1,0). Find the orthogonal projection of u on v (b) Letu ,1,0), u(0,1,1), (10,1). Find scalars c,,s such that 6. (a) Find the area of the triangle with vertices , (2,0,1), (3, 1,2). Find a vector orthogonal to the plane of the triangle. (b)) Find the distance between the point (1,5) and the line 2r -5y1 (i) Find the equation of the plane containing the points (1,2, 1), (2,1, 1), (1, 1,2). 7. (a) Let...
4. (Calculator) Let R be the region bounded by the graphs of f(x)= 20+x-x2 and g(x)=x-5x. (a) Find the area of R. (b) A vertical line x k divides R into two regions of equal area. Write, but do not solve, an equation that could be solved to find the value of k (c) The region R is the base of a solid. For this solid, the cross sections perpendicular to the x-axis are isosceles right triangles with the hypotenuse...
Let X and Y have the joint pmf defined by (х, у) (1,2) (0,0) (0,1) (0,2) (1,1) (2,2) 2/12 1/12 3/12 1/12 1/12 4/12 Pxy (x, y) Find py (x) and p, (y) а. b. Are X and Y independent? Support your answer. Find x,y,, and o, С. d. Find Px.Y