Chapter 3, Section 3.4, Question 009Let θ (in radians) be an acute angle in a right triangle, and let x and y, respectively, be the lengths of the sides adjacent to and opposite θ. Suppose also that x and y vary with time.(a) How are d⁢θ/dt, d⁢x/dt, and d⁢y/dt related?Note that "d⁢θ/dt=" is already provided. Do not include this in your submitted response to this question.d⁢θ/dt= (b) At a certain instant, x=2 units and is increasing at 2 units/s, while y=2 units and is decreasing at 110 unit/s. How fast is θ changing at that instant? Is θ increasing or decreasing at that instant?Enter the exact answer.d⁢θ/dt= Chapter 3, Section 3.4, Question 009Z Your answerpartially correct. Try again.Let 0 (in radians) be an acute angle in a right triangle, and let x and y, respectively, be the lengths of the sides adjacent to and opposite 0. Suppose also that x and y vary with time.(a) How aredtde dxanddtrelated?dt=" is already provided. Do not include this in your submitted response to this question.dtNote thatdydxdtdtEditx' sec (6)(b) At a certain instant, X = 2 units and is increasing at 2 units/s, while y = 2 units and is decreasing at unit/s. How fast is 0 changing at that instant? Is 0 increasing or decreasing at that instant?Enter the exact answer.do|-5/16rad/sO isTdecreasing vat that instant.

Name: Chapter 3, Section 3.4, Question 009Let θ (in radians) be an acute ang
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Description: Chapter 3, Section 3.4, Question 009Let θ (in radians) be an acute angle in a right triangle, and let x and y, respectively, be the lengths of the sides adjacent to and opposite θ. Suppose also that x and y vary with time.(a) How are d⁢θ/dt, d⁢x/dt,

Answered: Chapter 3, Section 3.4, Question 009…

Algebra & Trigonometry with Analytic Geometry

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ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

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Chapter 3, Section 3.4, Question 009

Let θ (in radians) be an acute angle in a right triangle, and let x and y, respectively, be the lengths of the sides adjacent to and opposite θ. Suppose also that x and y vary with time.

(a) How are d⁢θ/dt, d⁢x/dt, and d⁢y/dt related?

Note that "d⁢θ/dt=" is already provided. Do not include this in your submitted response to this question.

d⁢θ/dt=

(b) At a certain instant, x=2 units and is increasing at 2 units/s, while y=2 units and is decreasing at 110 unit/s. How fast is θ changing at that instant? Is θ increasing or decreasing at that instant?

Enter the exact answer.

d⁢θ/dt=

Chapter 3, Section 3.4, Question 009
Z Your answer
partially correct. Try again.
Let 0 (in radians) be an acute angle in a right triangle, and let x and y, respectively, be the lengths of the sides adjacent to and opposite 0. Suppose also that x and y vary with time.
(a) How are
dt
de dx
and
dt
related?
dt
=" is already provided. Do not include this in your submitted response to this question.
dt
Note that
dy
dx
dt
dt
Edit
x' sec (6)
(b) At a certain instant, X = 2 units and is increasing at 2 units/s, while y = 2 units and is decreasing at unit/s. How fast is 0 changing at that instant? Is 0 increasing or decreasing at that instant?
Enter the exact answer.
do
|-5/16
rad/s
O is
Tdecreasing vat that instant.

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