For the function y=-2-sin 2-x-- |+5, determine the properties 2 Amplitude: Period: Phase shift: Vertical shift: Is there an x-axis reflection? Is there a y-axis reflection?

Q: What is the phase shift of the function f(x) = sin(x+ 2)? %3D

A: For any  sinusoidal function f(x) = Asin(Bx + C)  The phase shift is  = -C/B

Q: Let f(x) = 6.5 sin(x) – 2.3 cos(x). What is the maximum and minimum value of this function? %3D max…

A: To determine the minimum and maximum value of the function.

Q: What is the y-value for the function y = tan x if x = 3?

A: We can find the answer as below.

Q: Q5. If x- a.sec 0 and y -b.tan 0. Eliminate 0.

A: It is given that x=a sec θ  and y=b tan θ . So, xa=sec θ and yb=tan θ.

Q: 2.) f(x) =sin(2(x-) Period = Increment %3D Amplitude = %3D

A:

Q: Make a table using multiples of p/2 for x between 0 and 4p to help sketch the graphof y = x sin x.

A: given: y=xsinx use the fact that  sinπ-θ=sinθsinπ+θ=-sinθsin2π-θ=-sinθ

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

A: Find inflection of points and concavity.

Q: Q3 Use Secant Method to find the root of the function. F(x)= cosx + 2sinx + x^2 to 5 decimal places

A:

Q: Sketch the graph from x = 0 to x = 4p.         y = 3 cos x + sin 2x

A: The given equation of the curve is: y = 3 cos x + sin 2x, and interval is 0≤x≤4π. To sketch the…

Q: Identify the inflection points and local maxima and minima of the function y=4x+sin8x on the…

A:

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

A:

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

A: y=2sinx+2cosx take the first derivative y'=ddx2sinx+2cosx y'=2cosx-2sinx take the second derivative…

Q: y=2 sin (6x-x)

A: Here is the solution

Q: f(x)%3D-2 sinx+2 Amplitude D %3D Equation of mid-line: Length of period: Phase Shift:

A:

Q: 2. f(x)=-cos(x+135°)+2 Amplitude.

A:

Q: List the x values of the discontinuities of the function below: y = In (tan²(x)) over the interval…

A:

Q: Sketch the graph from x = 0 to x = 4p.       y = sin  x - cos x

A: Given function y=sinx-cosx.

Q: Differentiate the function.

A: Derivative of y=ln tanx2

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

A:

Q: 3 (a) Differentiate the left-side functions with respect to the right-side ones I+/(1+x³), i) tan…

A:

Q: 3 Determine the amplitude of the function y =- cos(x). Also, choose its graph. The amplitude is

A:

Q: g(x) = tan(sin²(x)) + e², +e?

A:

Q: Find the point of inflection of the graph of the function f(x)=sin(x/2), [0,4pi] (x,y)= Describe…

A: Derivative f'(x) = 1/2cosx/2 and second derivative f''(x) = -1/4sinx/2; To get inflection point let…

Q: Find the amplitude of the functions y=sinx and y=2sinx

A:

Q: Differentiate the function step by step following all the rules of trigonometric differentiation. y…

A: Differentiating using product rule of differentiation

Q: How many periods of the function y = tan x are there between -27T and T? %3D [?]

A: We have to find

Q: What is the phase shift and vertical shift of f(x

A: Explanation and solutions is given below....

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

A:

Q: Differentiate f(x) = -1 = COS (4x). Use exact values. f'(x) = %3D

A:

Q: How are the intervals similar where the graphs of y=sinx and y=cosx are increasing and where the…

A: The interval where y = sinx and y = cosx both increases is x =3π2±2nπ,2π±2nπThe interval where y =…

Q: cos x if x 0

A: We have to find the reason

Q: Let y = 23+sin² x .Find f'(x). %3D

A:

Q: What is the relationship between the domain of a the function y = sin x and the range of the…

A: Topic:- range and domain of trigonometry function

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

A:

Q: Determine the amplitude of the function y = -2 cos x. Also, choose its graph.

A: Given,            y = -2 cos x     We know that,          For a function F( x ) = A cos( Bx - C )…

Q: Differentiate f(x) COS (5x). Use exact values. f' (x)

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Q: Sketch the graph from x = 0 to x = 4p.         y = 2 sin x - cos 2x

A:

Q: plot these functions using sub plot : x1=siny cosy , x2=secy siny, x3=sin(y-0.5) cosy , x4=…

A: Graph of function  1

Q: The derivative of y = 3 cos (V1- x²) + (1-x²) 2 can be written as 3 1–x² sin ( /1-x² ) - (1-x² ) 3x…

A: This can be done as follows:

Q: Function Y 2(sin(4x – T) – 4) , determine its amplitude, phase shift and period.

A: Consider the given function y=2sin4x-T-4 Simplifying it y=2sin4x-T-8   The standard form is y=A…

Q: What is the amplitude of the sinusoidal function f(x) = ,sin(x) ? Is the function stretched or…

A: The amplitude  of a wave is the distance from the centre line (or the still position) to the top of…

Q: Differentiate f(x) = sin'(7x). Use exact values. f'(x) =

A: Explanation of the solution is given below...

Q: Find the point of inflection of the graph of the function. f(x)=sin x/2, [0,4pi] Describe the…

A: Solution

Q: Find all the relative extreme values in the domain of y = tan(x)

A: Find all the relative extreme values in the domain of y = tan(x)

Q: Make a table using multiples of r/4 for x to sketch the graph of y = sin 2x from x = 0 to x = 2x.

A:

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

A:

Q: The function tan x is undefined at x =±p>2. How does this fact appear in the graph of y = tan-1…

A: The graph of the equation y = tan-1 x is as follows:

Q: How do you find the coefficient A by looking at the graph ofy = A sin (Bx +C)?

A: y=A sin(B x +C)

Q: please differentiate the function provided in the images

A: Given that

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

A: