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What is the relationship between the concavity of y = x2 and y = x1/2 ? Between the concavity of y = x3 and y = x1/3 for x > 0? Explain why this happens.
Write an integral for the total force exerted by the water on one side of the plate. Use δ for the mass-density of water and g for the acceleration due to gravity.
Let A be the 3 x 3 matrix whose (i, j)-th entry is aij = i + 2j, and let B be the 3 x 3 matrix whose (i, j)-th entry is bij = 2i - j. Compute the products AB and BA.
let p(x) = 7- 3(x-4)+5(x-4)^2 - 2(x-4)^3 + 6(x-4)^4 be the fourth degree of polynomial for the function f about 4. Assume f has derivatives of all real orders.
a. Convert the pool heating system from electrical to solar power. b. Build a 4-mile nature hiking trail. c. Renovate the horse barn.
A poster is to have an area of 230 in2 with 2 inch margins at the bottom and sides and a 3 inch margin at the top. What dimensions will give the largest printed area?
complete the inductive step for the case in which R is not performed on the last row of A
The cost of a flow is Σu,v∈V f(u, v), and the goal is to find the feasible flow ofminimum cost. Express this problem as a linear program.
Uxx+Uyy= 0U|C = 2(cos(theta)+sin(theta))Where C: {( x, y)} :x^2 +y^2 =4} is the circle of radius 2 centered at the origin. Can u express the solution U as a function of x and y?
Formulate an IP to minimize the costof meeting the state
A square's side is increased by 6 yards, which corresponds to an increase in the area by 168 square yards. How many yards is the side of the initial square?
Let V be an n-dimensional vector space over F. What is the characteristic polynomial of the Identity operator on V? What is the characteristic polynomial for the zero operator?
How did the stock market indices react to these changes? How did long-term U.S. Treasury bond yields react to these changes? What happens to borrowers, savers, investors, and bank profits inside and outside the United States as these rates change?
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