Math Answers

The vector that has the same direction as ⟨3,4,3⟩ but has length of 4 is ⟨ Blank 1. Calculate the answer by read surrounding text.

, Blank 2. Calculate the answer by read surrounding text.

, Blank 3. Calculate the answer by read surrounding text.

⟩

The equation x2−8 x+y2− 14 y+z2+ 16 z= -113 represents a sphere with radius Blank 1. Calculate the answer by read surrounding text.

and center ( Blank 2. Calculate the answer by read surrounding text.

, Blank 3. Calculate the answer by read surrounding text.

, Blank 4. Calculate the answer by read surrounding text.

).

Question 3 of 12 3 Points

Fit the equation with the surface in R3

A. Plane parallel to the xz-plane.

B. Plane parallel to the yz-plane.

C. A circle with radius 2.

D. Circular cylinder with radius 2.

E. Sphere with radius 2 and center (3,5,−1)

F. Sphere with radius 2 and center (−3,−5,−1)

select

1. x2+y2=4

select

2. x2+y2=4,z=4

select

3. 6x+x2−10y+y2+2z+z2=−31

select

4. 6x+x2+10y+y2+2z+z2=−31

select

5. x=3

select

6. y=3

1/a+bi =c+di

Two nonzero vectors a and b are called perpendicular or orthogonal if the angle between them is Blank 1. Fill in the blank, read surrounding text.

and a⋅ b= Blank 2. Fill in the blank, read surrounding text.

.

Question 1 of 12 7 Points

What follows is a calculated question with 14 blanks.

If a=⟨ 4,7,8 ⟩ and b=⟨ 5,10,2⟩ then:

|a|= Blank 15. Calculate the answer by read surrounding text.

|b|= Blank 16. Calculate the answer by read surrounding text.

a⋅b= Blank 17. Calculate the answer by read surrounding text.

a×b=⟨ Blank 18. Calculate the answer by read surrounding text.

, Blank 19. Calculate the answer by read surrounding text.

, Blank 20. Calculate the answer by read surrounding text.

⟩

b×a=⟨ Blank 21. Calculate the answer by read surrounding text.

, Blank 22. Calculate the answer by read surrounding text.

, Blank 23. Calculate the answer by read surrounding text.

⟩

a×a=⟨ Blank 24. Calculate the answer by read surrounding text.

, Blank 25. Calculate the answer by read surrounding text.

, Blank 26. Calculate the answer by read surrounding text.

⟩

The angle between a and b is Blank 27. Calculate the answer by read surrounding text.

Write the negation in English.

a. There is a student s such that for all courses x, s like x

y=ax²+bx-c ,make a the subject of the formula

Q4. Convert the following linear programming problem into dual

problem.

Maximise

Z = 22x1 + 25x2 +19x3

Subject to:

18x1 + 26x2 + 22x3 ≤ 350

14x1 + 18x2 + 20x3 ≥180

17x1 + 19x2 + 18x3 = 205

x1, x2, x3 ≥ 0

Hence,write down the equation with y as subject(in term of x)to represent the production cost.[the value of a,b and c must be indicated]