The domain of the function f(x) = In(cos (x/3)) CO %3D

Q: Integrate S(cos x)e*+sin xdx B. et-sinx + C A. -e4+sin x + C c. e4+sinx + C D. e-4+sinx +C A В C D

A: Given: I=∫cosxe4+sinxdx  ....(1)   We know that; ∫eax+bdx=1aeax+b+C

Q: Solve the fllowing D.E +4y= cos x - sinx 2. CoS X %3D

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Q: Consider x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? 1/2 1/4 3/8

A: We have given  ∫x sinx cosx =fx sin2x-gx cos2x+C Let,  I=∫x sinx cosx dx I=∫x sin2x2dx I=12∫x sin2x…

Q: Consider x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? 1/2 3/8 1/4

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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: find the absolute extrema of the function on the closed interval. g(x) = 2x + 5 cos x, [0, 2pie]

A: Here the given equation is g(x) = 2x + 5 cos x, [0, 2π] First we have to find the first derivative…

Q: eliminate the parameter to find an explicit equation for y as a function of x.  x = 1 + 3 cos(t) y…

A: Given,          x=1+3cost          y=-2+4sint

Q: Solve for f(x) the ir f f(x) cos px 8 sin² t

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Q: e) y = In(cos 4 x) f) y = sin² x y = In(cos(e3*)) g)

A: We can solve using first order differentiation (using chain rule)

Q: X COS(x) dx = k 0. x)UIs x (b) – 1.1365 (c) – 1.3651 (d) -

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Q: What are the domain and range of functions? a) f(x) = cos^(-1) (In(tan x)) b) y= In( (x+1)/(x^(3)+1)…

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

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Q: The weekly cost C of producing x units in a manufacturing process is given by the function C(x) =…

A: Here, given that the cost C of producing x unit is: C(x)=90x+700 And the number of x units be…

Q: The function r'e- sin(7x) is annihilated by the operator

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Q: 3. Explain graphically: cos x dx = 0.

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Q: Find an antiderivative of the given function. 7 cos 2x

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Q: Solve the equation for x.

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Q: The function g is related to a parent function f(x) = cos(x).

A: f(x) = cos(x) g(x) = cos(x-(pi/2)) + 2

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

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Q: se the bisection method to solve the equation x + cos x = 0. Show an appropriate graph. a. b.…

A: The bisection method uses the midpoint of an interval to perform the iterations to approximate the…

Q: The domain of the function f(x) = tanh(e* – 1)

A: Given that f(x) = tanh (ex - 1)  Find the domain of function f(x). We know that the domain is the…

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: cos E(z) = 2. e of order e of order e of order

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Q: f(x) = /: 12 – 4 dt 1+ cos? (t) At what value of x does the local max of f(x) occur? X =

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Q: Differentiate the expression y = e* cos x²

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Q: Find (f −1)'(a). f(x) = 4x3 + 5 sin x + 2 cos x,    a = 2   (f −1)'(a) =

A: Consider the function f(x) =4x3+5sinx+2cosx.Compute the derivative of the given function as follows

Q: Determine Yp using undetermined coefficients: 2. (D2-1) y = e-x (2 sin x + 4 cos x)

A: The solution of the problem is given in the next step.

Q: f(x) = -2 sin x – 9 cos x %3D f'(x) = S'() =

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Q: f (x) = csc(cos(e*+1))

A: We have to find the derivatives of given function: fx=coseccose5x+1 We know following derivatives…

Q: Find f. f"(8) = sin 0 + cos e, f(0) = 1, f'(0) = 2 f(e) =

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Q: 7) Find all absolute extrema in the function h(x)=cos on the interval (0, 2].

A: h(x)=cos2π3xh'(x)=-sin2π3xddx2π3xh'(x)=-sin2π3x2π3For critical values…

Q: In the diagram below, the graph of f(x) = -2 cos x is drawn for the interval 0° szs 3609 %3D 0° 180°…

A: (4.1) The amplitude of the graph is the height form highest to lowest point and divide that by 2.…

Q: Consider x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? 1/2 3/8 1/4…

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Q: Find an approximate value of F(1) given F'(x) = e-x² and F(0) = 2 Find an approximate value of G(-1)…

A: Express the mathematical equation for Linear Approximation. f(x)≈f(a)+(x-a)f'(a) Given, that…

Q: The antiderivative of Cos(3x)

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Q: How would I go on getting the max and min for this trig problem?

A: We first find the critical points in [0,2pi] by solving f'(x)=0

Q: At what value of x does the local max of f(x) occur? X = ƒ(x) = √² 1²-2 - 25 1 + cos² (t) dt

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Q: The function f(x) = sin(kx) contains the point A(, -1). The function is: Oa) f(x) = sin(-x) Ob)…

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Q: Find the domain. f(x)=(4+x)/e^(cos(x))

A: Domain of the function is the The set of all points over which a function is defined.

Q: e) f(x)=tan(cos¹.x) () COS X [+sil x h) y = 2

A: Given

Q: + x cos(g(x)) = x, find g'(0). g'(0) = If g(x)

A: Given, g(x)+x cos(g(x))=x7

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

A:

Q: find f f'' (x) = 2 + cos (x) , f (0) = 7 , f (pi/2) = 2.   f (x) =

A: Given : f''(x)=2+cos(x) where f(0)=7 , fπ2=2 To find : f(x)?

Q: The f sin x cos x dx is not equal to {A} -cos 2x + C {B }sin'x + C {c}-cos'x + C {D} sin 2x + C

A: Given query is to find the incorrect option for the integral.

Q: cos x 6) dx is equal to sin x A. In/2 В. Inv3 C. In" D. In e

A: The  given integral is ∫π4π2cosxsinxdx

Q: E valuate dx 7-3 Sin X +6 Cos X

A: solution.

Q: Match the function with its graph. 1)y = sin 글x 2) y =글 coS X 3) y = sin x 4) y = cos극x A) B) C) D)

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Q: a) Find the linearization of the function f(x) = cos(x) at a = π/2, b) Use a) to approximate…

A: (a) We have,

Q: 8. Graph the function f(x) = cos (r) and g(r) = cos (2r – 7). COS %3D

A: Solution Q8 Given, We have to make the graph of f(x) = cos x  and  g(x) = 12cos(2x-π)   Calculating…

Q: The domain of the function f(x)=sinh-1(Inx)

A: To find the domain of the function