71. Writing to Learn Find the linearization of f(x) = Vx+ 1 + sin x at x= 0. How is it related to the individual linearizations for Vx + 1 and sin x?

Q: cosh 1+j T 2 * T sin 1-j- 2

A:

Q: ELIMINATION OF ARBITRARY CONSTANTS

A: The given solution curve is y=C1excosx+C2exsinx=ex C1cosx+C2sinx. That means, the roots of auxiliary…

Q: f(x)% 3D cos (x) -1

A: For a function f(x)=A cos(ωx+b)+c The amplitude of the function is |A| and the phase shift is b.

Q: Differentiate the function. f(x) = sin(3 In(x)) f'(x) = %3D Need Help? Read It Wa

A:

Q: Consider I x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? O 1/4…

A:

Q: e* - 4, x<3 Let f(x) = %3D cos(x) , x23 lim f(x) = O 3 -4 O DNE

A:

Q: 154. We can obtain a useful linear approximation of the function f(x) - 1/(1 + tan x) at x- O by…

A: The given function is fx=11+tanx

Q: Derivatives: using (4 step rule). 1. q(t)=10 + 5t – 1? 2. s(x)= 3-x ,2 4. f(x)=sin3xcos 3x 5.…

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

Q: COS X d) f(x)=3sin √√x³ -3x+2___ _e) ƒ(x)=! f) h(w) = 3 cos(tan w)

A:

Q: How do you know that the functions sin x, ln x, and ex are not polynomials? Give reasons for your…

A: Polynomials have finite terms. And it has a highest degree.  But sinx , lnx and ex have infinite…

Q: bn= 는 Sin nT x dx ans=t- Excose LOS UTT sin

A: I have simplify and done step by step in detail...now hopefully you will get it.....go through the…

Q: ropriate substitution, n³ (4x)cos*(4x)dx is equal to

A:

Q: Applying any method and show all the steps to determine whether f,(x) = cos 2x f,(x) =1 f,(x) = cosx…

A: We have to solve given question: Concept:

Q: g(x) = (cosh x)* %3D

A: Given:       To determine: derivative of g(x)

Q: 22. Find (i) f xe-x* dx (ii) Evaluate lx - 3| dx (iii) Use the substitution x 2(1 + cos 0) to show…

A: These integrals are based on substitution method. The solution is explained in the steps below.

Q: 22. Determine f(x) so that cos(In²x) f(x) dx = sin(In²x) + C (a) 2 In x 2 In x (b) Inx (e) NIK

A:

Q: Showing the details of your work, find L(f) if f(t) equals: 2. 3t sinh 4t

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: f (x) = 5e"r³ tan(x) а. b. g(x): re cos(x) h(x) = sec(sin(/x)) с.

A:

Q: sin(x³ + y* ) Q3. Find of for the functions: .(x.y) (0,0) x'+y f(x.y) = .(x.y) = (0,0)

A: f(x,y)=sin(x3+y2)x2+y2 uv'=vu'-uv'v2

Q: Q5: Example. Let Rx {0, 4 2 4 * *} such that %3D Find E[sin(X)].

A: Given that RX=0,π4,π2,3π4,π To find: EsinX

Q: valuating 2 dx is same as evaluating lim cos-¹(f(x)). Determine the value of f(x) if x=0.36 1x²-4 2…

A:

Q: a) f(x) = 1+ Sinx for all x e R

A: According to the question, we need to plot the graph of the function: f(x) = 1+sin x The graph of…

Q: f(x) = 5 sin²(x) Hint: Use sin2(x) = -(1 – cos(2x))| %3D %3D n = 1 8.

A:

Q: Test for homogeneity 3. f(x, y) = tanx - sec²x - cosy 4. f(x, y): x²+3xy

A:

Q: 1. Consider [x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? A. 3/8…

A:

Q: uation of the line that represents the terminal side of standard position angle 0 is -5x - 3y = 0.…

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

Q: sin.x 14. What is y" if y=1-cosx A) y'= B) y'= -COS.X (1 – cosx)? sinx (1-cos.x)² C) y'= D) y'=…

A: Given: y=sinx1-cosx We have to find y''.

Q: J I+ sin(x) sin(x) xp. Evaluate: 1– sin(x) A -2x+C cos(x) 2( sin (x) – 1] cos(x) B -x+C 4cos(x) + C…

A:

Q: a . Show that y = sin x, y = cos x, and y = a cos x + b sin x (a and b constants) all satisfy the…

A: a. Given

Q: sin πx , x 2. 4 If the function f(x) is continuous at the point x= 0. then what is the sum of…

A:

Q: 6. If f(x,y, z) = x³y³ sin (z²)+z³ cos (x³), find an expression for fryz and evaluate it at the…

A: Given f(x,y,z)=x3y3sinz2+z3cosx3 To find: fxyz fxyz at (1,1,π)

Q: = sin? (esint) l(x) = tanh-1 x + In v1- x2 2 h(t) + cos + cos¯ -1(2t3 - 5) |

A:

Q: CNIVERSI Find if f(x,y) = y sin xy 3.

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Test for homogeneity of the following and state the degree of homogeneity: 2. XZ f(x, y) = sin -3z

A: Given,   To Test f(x,y)=sinxzy-3zfor homogeneity and also degree of homogeneity

Q: a) f(x)= e*; a= 0 b) f(x)=cosx; a = 3 c) f(x)= cosx; a=0 %3D

A: As per our guidelines we are supposed to answer only first three parts of question one. If you want…

Q: dx = In[F(x)]+C. what is F(/3) if C = 0? For (x+x³) (x Tan-'x + 1)

A: We will integrate the function first.

Q: Different substitutions dr a. Show that sin(2r – 1) + C using either Vx - x u = 2x – 1 or u = x dx…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Dada la función f(x, y) = a*y + 2 sin(y) + 3y cos(x) Calcule dy dx

A:

Q: e*sin³ (=) e*sin³ 3 (t 3 x23 sech (x-2) xº sech (x-2) F (x) = S f(x), if x 2

A: Given that  gx=exsin3πxx2sechx-23if x≤20if x&gt;2 Find the left hand limit of the function at x=2.…

Q: x' cos“ x sin x dx. (л- Злх + 3х Evaluate: | -

A: For the solution of the problem follow the next steps.

Q: 19-f(t)=t-sin 2t; 20-f(t)=e" cos 2t.

A:

Q: Find the linearization at x = a. f(x) = sin³ (x), a = %3D (Use symbolic notation and fractions where…

A: Given fx=sin3x, a=π4 To find linearization at x=a

Q: Zooming in on the graph of f (x) = x sin x near x = l.

A:

Q: f(x) = 8 cos x- 8 sin x f'(x) = %3D

A: Given function is fx=8cosx-8sinx.

Q: Explain why or why not Determine whether the following state-ments are true and give an explanation…

A: Since you have posted a question with multiple sub-parts, we will solve only first three sub-parts…

Q: using the product rule, how do I find the derrivative of  h(x)=cosxsinx

A: According to the question, we have to find the derivative of the function hx=cosxsinx. The…

Q: f (x) = esin(x²) sin(x2)

A:

Q: sin(2x²)+x³ . Let f(x) = 0, df if x + 0 Then find- if x = 0 dx x=0

A:

Q: Consider the function. y = -7 sin-(x) (a) Decompose the function in the form y = f(u) and u = g(x).…

A: We have a function to find part (a) and (b).

Q: ppose f(x)= -cosx-4). Evaluate dx

A: