W(x) = I a" cos cb"TCx)

Q: describe the domain and range of the function. g(r, s) = cos−1(rs)

A: Given, g(r, s) = cos−1(rs)

Q: Consider the function f(x)=2(cos(x−π6)+3). Determine its amplitude, period, and midline.

A: If f(x) = A cos(B(x+C)) + D where Amplitude = A Period = 2π/B Midline = D

Q: f (x) = 2x + 2/2 cos (x) For what values of x does the graph of f have a horizontal tangent?

A:

Q: A Ferris wheel with diameter 20 feet rotates counterclockwise and makes 2 revolutions per minute. At…

A: Given, Diameter of the Ferris wheel = 20 feet Wheel rotates counterclockwise and makes 2 revolutions…

Q: a. Find the equation of the line tangent to the following curve at the given value of x. b. Use a…

A:

Q: f(x) = 2a? cos(a) f' (x) = |

A:

Q: Write short answers. Consider the inverse tangent function, defined by y= tan - 1 'x, or y = arctan…

A:

Q: Find the points of inflection of the graph of the function. (If an answer does not exist, enter…

A: Given fx=3sinx+3cosx,   0,2π

Q: 43. What are the periods of these functions? (a) y = sin 20 (c) y = sin 20 + sin (b) y = sin

A:

Q: y = |30cost| + 12 y = 30sin 30sin- + 12

A: given that y=30cosπ3t+12 we know that cosθ=sinπ2+θ therefore, y=30sinπ2-π3t+12 take π3 outside the…

Q: Find the derivative of the function. y = cos V sin(tan(3x)) y' = Need Help? Read It Watch It

A:

Q: The range of the trigonometric function f (x) = 1 + cosx is COSX IS a) (-∞, +∞) b) (-1,1) c) [0,2]…

A:

Q: he voltage for alternating current is modeled by the function (t) inimum voltage for this model? 231…

A: Given query is to find the minimum voltage.

Q: 1. Find the derivative of the following trigonometric functions a) y = x sin(x) + cos(x) b) y =…

A: Given the trigonometric function

Q: F f(z) = -3e sinr, the second derivative f"(x) is: %3D

A: Given f(x)=-3ex·sinx Taking first derivative with respect to x, we get f'(x)=-3ddx(ex·sinx)…

Q: Find amplitude and period of function  y = 1 + 1/3 cos pi x

A: Given problem:- Find amplitude and period of function  y = 1 + 1/3 cos pi x

Q: Determine the amplitude of the function y = 4 cos x. Also, choose its graph. The amplitude is U

A: The given function is y=4 cos x

Q: 2e'cos (t) d t In(x)

A:

Q: Find the 27th derivative of the function f(x) = cos(x). %3D The answer is function Question Help: D…

A: Here we find 27th derivative of the function f(x)=cosx

Q: Suppose the function cos(t) is shifted 5 units upward. What is the equation of the new function?

A: To determine The equation of the new function if the function cos(t) is shifted 5 units upward.…

Q: 2n Consider the function y = 4 sin (x+)- 1. Wha 1. What is the period of the function?

A:

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: Given function is : fx=x+8 cosx

Q: Many relations in biology are expressed by power functions, known as allometric equations, of the…

A: The weight of a male hognose snake is w=446x3 Also, we have, dxdt=0.2 meters per year

Q: d. f(x) = sin (cos*x)

A: Given :- f(x) sin5(cos4(x))  To find:- Derivative of f(x)

Q: A 3.7.21 dy Use implicit differentiation to find and 2x? + 3y? = 9 dy 2x dx Enter your answer in the…

A: We have to find derivative

Q: What is the range of the inverse sine function y= sin (x)? [0, T] B 2'2 ©(0, T) O ()

A:

Q: cos x g(x)=

A:

Q: 3X Se ³x cos (2x) dx

A:

Q: . a. Graph the function f(x) = sin x + cos(x/2).

A: a. First plot graph of Sin x

Q: cos²(x) dx 1+ sin(x) Evaluate:

A: Using the Pythagorean identity we know that cos2(x)=1-sin2(x)So,…

Q: Find the amplitude, period, and horizontal shift of the function. y = −9 sin (2(x + ?/2

A: Given:    y=-9 sin2x+π2

Q: The range of the trigonometric function f (x) = 1 + tanx is a) (-0, +0) b) (-1,1) c) [0,2] d) [-1,1]

A:

Q: Find a function of the form y = A sin(kx) + C or y = A cos(ka) +C whose graph matches this one: -2…

A: Given: a function is of the form y=A sin (kx)+C   or  y=A cos (kx)+C

Q: Find the first derivative of the given functions. A. Trigonometric Functions 1. y= sec? 0 – tan² ® 1…

A: As per our guideline we are supposed to be answer only A(questionp 1y& 2)part you can respost…

Q: -1 If f (x) = sin(x), then what is the value of f' () in simplest form? %3D

A:

Q: Find the second derivative of the function. f(x) = sec x F"(x) = sec x(see²+tan² Need Help? Submit…

A: Let's find double derivative of function.

Q: Identify the trigonometric function from the graph. 34 a) f(x) = 2sinx b)f(x)- 2+ sinx c) f(x) = 2 +…

A: option(d) is correct f(x) = 2 cosx

Q: Find a function of the form y = A sin(kx) + C or y = A cos(kx) + C whose graph matches this one: --…

A:

Q: Prob. 3 (a) (2) Compute the derivative of the function y = (b) ( sin x 1-x² ) Find the second…

A:

Q: Find the derivative of the inverse trigonometric function * cos' x B. y' =; C. y' = 3x2 A. y'=: V1-x…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: sketch the function y(t)= cos 5t

A: The  period of y(t) = cost  is 2π The period of y(t) = cos5t is 2π5   so the graph of y(t) = cos5t…

Q: The range of the trigonometric function f(x) = sin (x- is %3D a) (-00, +0) b) [-1,1] c) [0,2] d)…

A: The given function is f(x)=sinx-π2

Q: Find a function of the form y = A sin(kæ) + C or y = A cos(ka) + C whose graph matches this one:…

A: given,

Q: Identify the trigonometric function from the graph. 3y a) f(x) = 2sinx b)f(x) = 2+ sinx c)f(x)= 2 +…

A:

Q: Textbook Videos [+] Consider the function f(x) whose second derivative is f''(x) = 9x + 8 sin(x). If…

A: Proceed as shown below

Q: Find a function of the form y = A sin(kx) + C or y = A cos(ka) + C whose graph matches this one: 6-…

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: