a. To show: If P ′ is the image of P under rotation about point O by a given angle, then O is on the perpendicular bisector of P P ′ ¯ .

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Answer 1

Question

Chapter 13.1B, Problem 13A

To determine

a.

To show:

If P′ is the image of P under rotation about point O by a given angle, then O is on the perpendicular bisector of PP′¯.

To determine

b.

To explain:

The method of finding the point O and the angle of rotation.

To determine

c.

To explain:

The reason in which the rotation under which ΔA′B′C′ is the image of △ABC is not possible.

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65% of all violent felons in the prison system are repeat offenders. If 43 violent felons are randomly selected, find the probability that a. Exactly 28 of them are repeat offenders. b. At most 28 of them are repeat offenders. c. At least 28 of them are repeat offenders. d. Between 22 and 26 (including 22 and 26) of them are repeat offenders.

(b) Find the (instantaneous) rate of change of y at x = 5. In the previous part, we found the average rate of change for several intervals of decreasing size starting at x = 5. The instantaneous rate of change of fat x = 5 is the limit of the average rate of change over the interval [x, x + h] as h approaches 0. This is given by the derivative in the following limit. lim h→0 - f(x + h) − f(x) h The first step to find this limit is to compute f(x + h). Recall that this means replacing the input variable x with the expression x + h in the rule defining f. f(x + h) = (x + h)² - 5(x+ h) = 2xh+h2_ x² + 2xh + h² 5✔ - 5 )x - 5h Step 4 - The second step for finding the derivative of fat x is to find the difference f(x + h) − f(x). - f(x + h) f(x) = = (x² x² + 2xh + h² - ])- = 2x + h² - 5h ])x-5h) - (x² - 5x) = ]) (2x + h - 5) Macbook Pro

Evaluate the integral using integration by parts. Sx² cos (9x) dx

Answer 2

Question

Chapter 13.1B, Problem 13A

To determine

a.

To show:

If P′ is the image of P under rotation about point O by a given angle, then O is on the perpendicular bisector of PP′¯.

To determine

b.

To explain:

The method of finding the point O and the angle of rotation.

To determine

c.

To explain:

The reason in which the rotation under which ΔA′B′C′ is the image of △ABC is not possible.

Expert Solution & Answer

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Answer 3

Question

Chapter 13.1B, Problem 13A

To determine

a.

To show:

If P′ is the image of P under rotation about point O by a given angle, then O is on the perpendicular bisector of PP′¯.

To determine

b.

To explain:

The method of finding the point O and the angle of rotation.

To determine

c.

To explain:

The reason in which the rotation under which ΔA′B′C′ is the image of △ABC is not possible.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 13.1B, Problem 13A

To determine

a.

To show:

If P′ is the image of P under rotation about point O by a given angle, then O is on the perpendicular bisector of PP′¯.

To determine

b.

To explain:

The method of finding the point O and the angle of rotation.

To determine

c.

To explain:

The reason in which the rotation under which ΔA′B′C′ is the image of △ABC is not possible.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 13.1B, Problem 13A

To determine

a.

To show:

If P′ is the image of P under rotation about point O by a given angle, then O is on the perpendicular bisector of PP′¯.

To determine

b.

To explain:

The method of finding the point O and the angle of rotation.

To determine

c.

To explain:

The reason in which the rotation under which ΔA′B′C′ is the image of △ABC is not possible.

Answer 6

Chapter 13.1B, Problem 13A

To determine

a.

To show:

If P′ is the image of P under rotation about point O by a given angle, then O is on the perpendicular bisector of PP′¯.

Answer 7

Chapter 13.1B, Problem 13A

To determine

a.

To show:

If P′ is the image of P under rotation about point O by a given angle, then O is on the perpendicular bisector of PP′¯.

Answer 8

To determine

b.

To explain:

The method of finding the point O and the angle of rotation.

Answer 9

To determine

b.

To explain:

The method of finding the point O and the angle of rotation.

Answer 10

To determine

c.

To explain:

The reason in which the rotation under which ΔA′B′C′ is the image of △ABC is not possible.

Answer 11

To determine

c.

To explain:

The reason in which the rotation under which ΔA′B′C′ is the image of △ABC is not possible.

Answer 12

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

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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 show: If P ′ is the image of P under rotation about point O by a given angle, then O is on the perpendicular bisector of P P ′ ¯ .

Solution Summary: The author proves that if P ′ is the image of P under rotation about point O by a given angle, then O is on the perpendicular bisector of stackrel

Concept explainers

Videos

a.

To show:

If P′ is the image of P under rotation about point O by a given angle, then O is on the perpendicular bisector of PP′¯.

b.

To explain:

The method of finding the point O and the angle of rotation.

c.

To explain:

The reason in which the rotation under which ΔA′B′C′ is the image of △ABC is not possible.

Want to see the full answer?

Chapter 13 Solutions

a. To show: If P ′ is the image of P under rotation about point O by a given angle, then O is on the perpendicular bisector of P P ′ ¯ .

Solution Summary: The author proves that if P ′ is the image of P under rotation about point O by a given angle, then O is on the perpendicular bisector of stackrel

Concept explainers

Videos

a. To show: If P′ is the image of P under rotation about point O by a given angle, then O is on the perpendicular bisector of PP′¯.

b. To explain: The method of finding the point O and the angle of rotation.

c. To explain: The reason in which the rotation under which ΔA′B′C′ is the image of △ABC is not possible.

Want to see the full answer?

Chapter 13 Solutions

a.

To show:

If P′ is the image of P under rotation about point O by a given angle, then O is on the perpendicular bisector of PP′¯.

b.

To explain:

The method of finding the point O and the angle of rotation.

c.

To explain:

The reason in which the rotation under which ΔA′B′C′ is the image of △ABC is not possible.