Evaluate the integral of the function f(x, y, z) = x + y over the surface s given by the following. φ(u, v) = (2u cos(v), 2u sin(v), u), u is in [0, 7], v is in [0, π]

Step-by-step explanation:

Let us recall that if f(x,y,z) is a smooth mapping defined over a surface S, and Φ(u, v) is a smooth parametrization of the surface with (u,v) varying in a certain region R, then

Now,

and

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

steve should create a type of business report called a business plan. the correct option among the options that are already given in the question is the last or the fourth option. this business report created by steve will actually influence the investors about investing their money in steve's business. this business report will have all the details about the business, the amount of investment required and the amount of expected profit.