Graph the function. h(x) = 3 |sin(x)| y 2

Q: What is the MOST acceptable method to determine the general solution for the function: y" – y'- 2y =…

A: The most suitable method for the general solution of the ordinary differential equation is method of…

Q: 2. Graph the function f(x) = cos(2x) +1. %3D

A: y=cos2x+1 to graph the function, we need a few points x y=cos2x+1 -2π 2 -7π4 1 -3π2 0…

Q: | x* (1–x)° dx

A: We have to solve the integration by beta function.…

Q: a. y=sin(x² + 3x + 1)

A:

Q: Graph the function: Y=sin-(2x) – 2

A: Graph the function:     Y=sin-12x-π2

Q: graph  the function y=3/4 sin 1/2x

A: Period of the function= (2π)/(1/2)= 4π Then we take 5 points in the interval [0, 4π] at equal…

Q: (В) f (x) 3 3 sin(2x) — 4

A: we have to draw the curve of the function fx=3sin2x-4 let y=f(x). therefore, y=fxy=3sin2x-4 the…

Q: c- 2-VX2+4 /sin?x x >0

A: To determine: The limit of

Q: .Is f (x) = x sinx a periodic function ? %3D

A:

Q: 1. Determine the range of the function y = -3 sin[4(x – 2)] + 2.

A: Range of trigonometric function

Q: If g(x)=cos2x and f(x)=sin (1/2) (π), find g(f(x))

A: Given functions are  g(x)=cos2x and f(x)=sinπ2

Q: Sx2.- cos³ x-5 du 1-sin? x

A: Evaluation of the integral, bu using integral by parts

Q: using undetermined coefficients (D^2-2D+2)y=24e^x sin3x

A: Given: (D2  -2D+2)y=24ex sin3x

Q: e. y =x' sin (x² +5)

A:

Q: dx (solve in two ways: let x = 6. x² /x² + 1 tan 0 or x =

A: Definition used -              Trigonometric substitution -                    When there a…

Q: Match the function with its graph. 1) y = 2 + sin x 2) y = 2 + cos x 3) y = -2 + sin x 4) y = -2 +…

A: Since you have posted multiple questions. We will solve the first question for you. If you want any…

Q: 2. f (t) = sin ( € - 2π) H ( t - 21)

A:

Q: Q2\Find T.E of the function f (x) = sin 2x when a =1?

A: Given that  f(x)=sin(2x) at a=1  To find the T.E

Q: 3 g(x) = x³ · sin(x)

A: gx=x3·sinx

Q: dx, x² + 4 x = 2 tan(0)

A: Given: The integral is ∫ x3x2+4 dx , x = 2 tan (θ) .

Q: d. f(x)= sin (1-x)

A:

Q: find all possible functions with the givenderivative. y' = sin 2t

A: Given: dydt=sin2t for finding solution of given equation, we use variable separable method so,…

Q: 3*x? f(x) = sin (3x)

A:

Q: A water ride with heights above and below the starting point can be modeled by the function y = 3…

A: Given that the height of the Water ride above the function is modelled byy=3sin(π2(x+3)-2).WE neeed…

Q: 50. g(x) 52. f(x) = xe* 54. y = sin²(e³x+!) %3D

A:

Q: If f(x) = e2" [sin(=)]°, what is f'(x)?

A:

Q: Find f'(x) for f(x) = sin?x · tan (x² – 3x + 1)5).

A: We will find the derivative.

Q: (e) l(x) := {/sec²(tan x) 3

A:

Q: S tan³ √√√x X X dx

A:

Q: 3. Find Df. 1 (a) f(x) = tan x (b) f(x) = 1- | sinx|

A:

Q: Q6: Solve: A) S sec'x tan x dx dx B) S 24(x-1)

A:

Q: Q4) Find y" of the function y = sin(x2e*)

A: Given: y=sin(x2ex)

Q: Find the domain and range. In interval notation. y = 3 cos x

A:

Q: Find the domain of the function g(t)=sin(e^x-1) only the x is in the exponent

A:

Q: Find a fixed point of x=g(x)=}+}sin(3x). ||

A: Given that                      x=g(x)=12+14sin3x To find a fixed point of the above equation we…

Q: e2x (f) y = tan x

A: (F) The given function is y=e2xtan x. The quotient rule for the functions f(x) and g(x) is given by…

Q: 4. Derive y = e¬* sin x.

A:

Q: the range of y=/cos 2x is

A:

Q: 9. What is the period of the function f(x) a. 4π 5 b. 2 C. 2₁ = 2 (sin x)? d. 5π 2

A:

Q: Graph the function. f(x) = -5 + cos(x) -6 y

A: It is require to graph the function f(x)=-5 + cos(x)

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: Given the function f(x) = −4 sin³ x, find ƒ'(x).

A:

Q: 4) Differentiate the function, and simplify the result. w(x) = sin /2r + 1

A: w(x) = sin √(2x+1)

Q: g(x) = 2 – sin x 5m/2 2m 3m2 2 m2 3m12 5m/2 f(x) = sin x

A: For a function g(x) to be greater than or equal to some function f(x), the graph of g(x) must always…

Q: y'= Cos(x)+x3

A: In this question we have to solve the given differential equation.

Q: If ef (x) + [ f (x) + 1] = sin x andƒ(0) = 0, find f'(0).

A:

Q: Let f(x)=cos x and h(x)=2x. Find the value of (f of h)(pi/6).

A: Given functions