a box with a square base
.6 4. Compute x + 3x4 + 2x3 + 1 -da. 24 일 5. Let F(x) = tet-2+tº +1 dt, find F'(2). tt +3 0 -. A box with a square base and open top must have a volume of 500 cm. Find the dimensions of the box which minimize the amount of material to be used. 2. Draw the graph of f(x) = x ln(1x) - (x - 4) In(x - 41).
4) Divide (x5 + 2x3 - 3x - 1) by (x+3) using synthetic division. Show all work!
For h(x) = x5 – 3x4 + 2x2 – 5x + 8, use the Remainder Theorem to find h(-4). Please show your work
4) b) uat points) Find the comple slution t hf folwing system of inear 1x + 1x2 + 2x3 + 3x4 +4x5 10 2x1 + 1x2 + 2x3 +4x4 + 6xs 13 0x1 +0x2 +0x3 + 1x4 + 2x5 3 b) (5 points) Is the systenm 1 x21 consistent? Why or why not? 2 341 2341 1-2-2-2-7
4) b) uat points) Find the comple slution t hf folwing system of inear 1x + 1x2 + 2x3 + 3x4 +4x5 10...
Solve both A and B using Gauss-Jordan elimination
2x1+ 5x2+ 2x3-5。3x1+2xī4x3-3x4-82 2x1- X2+2x3+2x4 11
Consider the linear system x1 + x2 – 2x3 + 3x4 = 0 2x1 + x2 - 6x3 + 4x4 -1 3x1 + 2x2 + px3 + 7x4 -1 X1 – X2 – 6x3 24 = t. Find the conditions (on t and p) that the system is consistent, and inconsistent. If the system is consistent, find all the possible solutions (including stating the dimension of the solution space(s) and describe the solution space(s) in parametric form).
6م 4. Compute / 5 + 34 + 2x3 +1 dr. 21
; Let at be a linear transformation as follows : T{x1,x2,x3,x4,x5} = {{x1-x3+2x2x5},{x2-x3+2x5},{x1+x2-2x3+x4+2x5},{2x2-2x3+x4+2x5}] a.) find the standard matrix representation A of T b.) find the basis of Col(A) c.) find a basis of Null(A) d.) is T 1-1? Is T onto?
solve dy/dx + (-4/x)y=x^5e^x
4. (3 pts) Solve de + y = x5 e.
Suppose that l's f(x)dx = 2, Lot f(x)dx = -6 and [ f(a) =1 Compute f(x)dx O 5 O-5 -9 O-4 O9