a. To find: The coordinates of the image point under a half-turn under origin for ( 0 , 3 ) .

Question

Want to see the full answer?

Answer 1

Question

Chapter 13.1B, Problem 15A

To determine

a.

To find:

The coordinates of the image point under a half-turn under origin for (0,3).

To determine

b.

To find:

The coordinates of the image point under a half-turn under origin for (−2,5).

To determine

c.

To find:

The coordinates of the image point under a half-turn under origin for (−a,−b).

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

1. (20 pts) Determine whether the following statements are true (T) or false (F)? (A reasoning is required.) (1) Let V be the set of all ordered pairs of real numbers. Consider the following addition and scalar multiplication operations on u = u= (u1, u2) and v = (v1, v2): u + v = (U₁ + V₁, U₂ + v₂), ku = (ku₁, u₂). Is V a vector space under the above operations? U2 (2) The set Mmxn of all m×n matrices with the usual operations of addition and scalar multiplication is a vector space. α (3) The dimension of the vector space of all matrices A = [a b] in R2×2 with a+d=0 is 4. (4) The coordinate vector of p(x) = 2-x+x² in P3 relative to the basis S = {1, 1+x, x + x2} is [4 -2 1]. (5) If a 6×4 matrix A has a rank 3, then the dimension of N(A) is 3.

Scenario Sales of products by color follow a peculiar, but predictable, pattern that determines how many units will sell in any given year. This pattern is shown below Product Color 1995 1996 1997 Red 28 42 21 1998 23 1999 29 2000 2001 2002 Unit Sales 2003 2004 15 8 4 2 1 2005 2006 discontinued Green 26 39 20 22 28 14 7 4 2 White 43 65 33 36 45 23 12 Brown 58 87 44 48 60 Yellow 37 56 28 31 Black 28 42 21 Orange 19 29 Purple Total 28 42 21 49 68 78 95 123 176 181 164 127 24 179 Questions A) Which color will sell the most units in 2007? B) Which color will sell the most units combined in the 2007 to 2009 period? Please show all your analysis, leave formulas in cells, and specify any assumptions you make.

5. (20%) The linear transformation L: P3 → P2 defined by L(f(x)) = f'(x)+ f(0). (a) Find the representing matrix A of L with respect to the ordered basis {x2, x, 1} for P3, and the ordered basis {2,1 - x} for P2. (b) Find the coordinates of the f(x) = 2x² +2 in P3 with respect to the ordered basis {x2,-x, 1}, and find the coordinates of L(f(x)) with respect to the ordered basis {2,1-x}

Answer 2

Question

Chapter 13.1B, Problem 15A

To determine

a.

To find:

The coordinates of the image point under a half-turn under origin for (0,3).

To determine

b.

To find:

The coordinates of the image point under a half-turn under origin for (−2,5).

To determine

c.

To find:

The coordinates of the image point under a half-turn under origin for (−a,−b).

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 13.1B, Problem 15A

To determine

a.

To find:

The coordinates of the image point under a half-turn under origin for (0,3).

To determine

b.

To find:

The coordinates of the image point under a half-turn under origin for (−2,5).

To determine

c.

To find:

The coordinates of the image point under a half-turn under origin for (−a,−b).

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 13.1B, Problem 15A

To determine

a.

To find:

The coordinates of the image point under a half-turn under origin for (0,3).

To determine

b.

To find:

The coordinates of the image point under a half-turn under origin for (−2,5).

To determine

c.

To find:

The coordinates of the image point under a half-turn under origin for (−a,−b).

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter 13.1B, Problem 15A

To determine

a.

To find:

The coordinates of the image point under a half-turn under origin for (0,3).

To determine

b.

To find:

The coordinates of the image point under a half-turn under origin for (−2,5).

To determine

c.

To find:

The coordinates of the image point under a half-turn under origin for (−a,−b).

Answer 6

Chapter 13.1B, Problem 15A

To determine

a.

To find:

The coordinates of the image point under a half-turn under origin for (0,3).

Answer 7

Chapter 13.1B, Problem 15A

To determine

a.

To find:

The coordinates of the image point under a half-turn under origin for (0,3).

Answer 8

To determine

b.

To find:

The coordinates of the image point under a half-turn under origin for (−2,5).

Answer 9

To determine

b.

To find:

The coordinates of the image point under a half-turn under origin for (−2,5).

Answer 10

To determine

c.

To find:

The coordinates of the image point under a half-turn under origin for (−a,−b).

Answer 11

To determine

c.

To find:

The coordinates of the image point under a half-turn under origin for (−a,−b).

Answer 12

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 15

Ch. 13.1 - Prob. 1MC Ch. 13.1 - Prob. 3MC Ch. 13.1 - When a line is rotated about a point O, by angle ,...Ch. 13.1 - Prob. 6MC Ch. 13.1 - Prob. 7MC Ch. 13.1 - Prob. 8MC Ch. 13.1 - A drawing of a cube, shown in the following...Ch. 13.1 - Wall stenciling has been used to obtain an effect...Ch. 13.1 - Prob. 11MC Ch. 13.1 - Prob. 12MC

a. To find: The coordinates of the image point under a half-turn under origin for ( 0 , 3 ) .

Solution Summary: The author calculates the coordinates of the image point under a half-turn under origin for (0,3).

a.

To find:

The coordinates of the image point under a half-turn under origin for (0,3).

b.

To find:

The coordinates of the image point under a half-turn under origin for (−2,5).

c.

To find:

The coordinates of the image point under a half-turn under origin for (−a,−b).

Want to see the full answer?

Chapter 13 Solutions

a. To find: The coordinates of the image point under a half-turn under origin for ( 0 , 3 ) .

Solution Summary: The author calculates the coordinates of the image point under a half-turn under origin for (0,3).

a. To find: The coordinates of the image point under a half-turn under origin for (0,3).

b. To find: The coordinates of the image point under a half-turn under origin for (−2,5).

c. To find: The coordinates of the image point under a half-turn under origin for (−a,−b).

Want to see the full answer?

Chapter 13 Solutions

a.

To find:

The coordinates of the image point under a half-turn under origin for (0,3).

b.

To find:

The coordinates of the image point under a half-turn under origin for (−2,5).

c.

To find:

The coordinates of the image point under a half-turn under origin for (−a,−b).