Phillip F.

Evaluate ∬S​F⋅dS where F=−xi+2yj​−zk and S is the portion of y=3x2+3z2 that lies behind y=6 oriented in the positive y-axis direction

The areas of the labeled regions are A1= 6, A2=3, A3=1 and A4=2 V =  ∫73 f(x)dx V=

If $3200 is invested at an interest rate, 𝑟, compounded annually, the amount in the account after 4 years is given by the polynomial function 𝐴(𝑟)=3200(1+𝑟)4. Here, r is used as a decimal, so if r=... more

Determine whether the function has a relative maximum, a relative minimum, an absolute maximum, an absolute minimum, or none of these at each critical number on the interval shown. (Enter your... more

A high school principal made this statement to the school board: "Either music is not dropped from the curriculum or the students will become cultural philistines; furthermore, the students will... more

five cards are selected from a fair deck. what is the possibility that they contain at least four spades?

Q1:find the kernel of the linear transformation.1-T:R3→R3,T(x,y,z)=(0,0,0)2-T:R3→R3,T(x,y,z)=(x,0,z)3-T:R3→R3,T(x,y,z)=(z,y,x)4-T:R2→R2,T(x,y)=(x-y,y-x)Q2:the linear transformation T is represented... more

A={ -4 ,-3 ,-2 ,-1 ,0 ,1 ,2 ,3 ,4} R is defined on A as follows: For All (m,n) ∈A,m R n ⇔ 5 | (m^2- n^2 )

Given the following equations what is the corresponding Θ(x^? ) notation a) ((2x-2)(2x+4))/8 b) ((2x^2-2x+2)(2x+4))/2c) ((3x^3+2x^2+4x+2)(2x^2+3x+2))/12