Solve the following problem with θ on an unrestricted domain. Use k to represent any integer (k ∈ Z) in your answer(s).   cosθ= (sqrt3)/2

Q: The domain of the function f(x)= cos - 4) is [30, A], Then A +k =.

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Q: For what values of x does the graph of f have a horizontal tangent? (Use n as your integer variable.…

A: Given f(x)=x-2sinx our aim is to find value of x the graph f has a horizontal tangent

Q: Answer f(x) = COS T, n = 4

A: As per guideline we have to solve one question

Q: In a certain city the number of hours of daylight on day t (where t is the number of days after…

A: (a) The given function is: L(t)=14+2.81 sin 2π365(t-80) Now, let L(t)=12: 12=14+2.81 sin…

Q: Show that the extreme values of f(x) = a sin x + bcos x tVa2 + b2. are

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Q: if g(x)  = x Sin-1(x/4)  +  √(16 - x2) , find g'(2)

A: The product rule is used for the LHSwhere as power rule  for the RHSg(x) = x sin-1x4+16-x2g'(x)…

Q: The domain of the function f(x)= cos( -3) is [22, A], Then A +k =. Answer:

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Q: The functions and x sin xare: x²+1 A- both even; B- both odd; C- both neither; D- None of the above.

A: The function will be even if f(-x) = f(x) and odd if f(-x) = - f(x)

Q: Given that f''(x)=cos(x), f'(pi/2)=7 and f(pi/2)=2 find f'(x) and f(x)

A: Answer and explanation is given below...

Q: Given a function f(x,y,z) = (x+7) In (6y - 4) sin (1z). Find the range of the function.

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Q: 1. Use trigonometric substitution to evaluate each of the following. (») /: dx x² + 4x + 3 (b) dx (4…

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Q: f(x) = cos(2x), then f'''(pi/4)

A: Given function is fx=cos2x.

Q: If f(x) = 2 sin æ + 9 cos a, then f'(x) = f'(4) =|

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Q: Given that f'(5pi/9)=0 and f''(x)= -18 sin (3x) , what can be said about the function f(x) at x=…

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Q: Given a function f(x,y,z) = (x+10) In (5y - 6) sin (5z). Find the domain of the function.

A: To find domain of function

Q: What is the maximum value of the following function? 4 sin(x) +3 cos(x) 4 O 5 O 7

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Q: Show that (Aetkx + Be-ikx)and (C cos kx + D sin kx) are equivalent ways of writing the same function…

A: eix  = cos(x) + i sin(x) e-ix = cos(x) - i sin(x)

Q: Given the following statements: I. The function f (x) = x² sin? x is an odd function. II. The…

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Q: To apply this theorem, evaluate the function r0) =0+ sin -8 at each endpoint of the interval [-…

A: Since, you have post the multiple question. I am answering the first three part's. Please post the…

Q: Make the substitution u = 7 cos e in the expression 1/V 49 - u2, and simplify the result. (Assume…

A: Make the substitution u=7cosθ in the expression 149-u2.

Q: Given a function f(x,y,z) = (x+5) In (4y - 5) sin (10z). Find the domain of the function.

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Q: Evaluate the following using the TRIGONOMETRIC SUBSTITUTION METHOD: 1. S- 2. * xp XVx-9 1+x 4. 5. de…

A: We are entitled to answer only one problem. Please resubmit the question which you wish to get…

Q: Solve the following: (1) g(x) = tan(x'), find g'(x); (2) h(x) = (sin(3x))/2x, find h"(x); (3) m(x) =…

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Q: f(x) 16 %3D = +- - 11x 2

A: 1. Rule of derivative of sum and difference of two functions states that ddxg±hx=dgdxx±dhdxx. Use…

Q: sin x sin ydx+ cos x cos ydy = 0

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Q: Suppose, f'(x)= 2 cos x+sec x, -7<x<, and it is known that and it is known that f()=4. Find the…

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Q: The function f(1)3 sinh(In()) Is equivalent to which of the following functions Select one

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Q: If g(x) sin(x) then g'(x) = g'(4) = %3D

A: Given the function g(x) :

Q: Solve the equation for x in terms of y if x is restricted to the given interval.

A: Given: y=2+3 sinx x∈-π2,π2

Q: Give a short explanation of why each approximation is valid.

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: Find the Minimum Value of the following functions and show your complete solution. Answer a-d. a.…

A: (a) Given- -3 cos6x To find- The minimum value of the above expression.

Q: Carefully plot the function f() = 1+ E=12(-1)"+1 sin(nx) for N = 3, N = 8, and N = 20 with r in the…

A: The graph of a function in one variable x, the function represented as f(x), can be plotted by…

Q: If we have the function f(x) = sec x and f(x) = -4, what is f(x) + f(x+2n)+f(x+47). Solve it by…

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Q: Solve the equation for x in terms of y if x is restricted to the given interval.

A: Given, y=-3-sinx x∈-π2,π2

Q: In the case where the values of sin 52 ° and sin 72 ° are known in the calculator (note that the…

A: Using Lagrange's interpolation approximation we can find the approximate function for the given…

Q: If f(x) = 2 cos(3 In(x)), find f'(æ). Find f'(1).

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Q: If f(x) = f (x) = = COS 7 tan z, then f'(5) =

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Q: Consider the image attached of the functions f(x) = 12*cos(2x+1)-6 and g(x) = -1. Set f(x) = g(x)…

A: Given that, the functions are fx=12cos2x+1-6 and gx=-1. Equate the functions to find the solution x…

Q: The domain of the function fx)= cos¯1( - 4) is [12, A]. Then A +k=.

A: Given : fx = cos-1xk-4

Q: Given the functions f:- → R, f (x) = tan x and g: Rt → R, g(x) = cos x. %3D If the two functions…

A: We will find intersection by compairing functions And angle of intersection by Slope method

Q: For g(x) = a + 5 cos(x)+ cot(x), find g' (). a) 02+ V3 -5/2 1 2 /3 4 -5/2 2 O 2 - V3

A: Given :

Q: 2. Use the function y = -2 cos[5(x – 30°)]+ 3 to answer the following questions. a) The period of…

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Q: If a function f(x) = ax³ + bx2 + cx + 1, where a, b, c are integers and a > 0 is such that %3D f(…

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Q: Find all values of u, if u is in the interval 30°, 360°2 and u has the given function value.a. cos u…

A: Givencos u=-1sinu =-1u lies between 30° and 360°2'.To find value of u.

Q: Determine the projection f(x) = 1 along sin(x), sin(3x)and find from there a function of the form 1…

A: The aim is to find projection of function f(x)=1 on sin x and sin 2x. Then we are trying to provide…

Q: Given f(x) = cos(2), find f' (x) in simplest form.

A: According o question given fx=cos-1x2We have to calculate the f'(x)

Q: Given a function f(x,y,z) = (x+6) In (5y - 5) sin (9z). Find the range of the function. %3D

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

Q: If g(x) = | sinxdx and g(x)=3, then g(0) =. %3D

A: Given: gx=∫sinxdx , gx=3 To find: g0 As gx=∫sinxdx ⇒gx=-cosx+C               (1)…

Q: If f(x) = cos'(1 – 2x²), then find the values of f '(1/2) + f %3D '(- 1/2)

A: Introduction :

Q: 2. Given that the function f(0) = a sin (be) has exactly 5 zeros for 0 ≤ 0≤ 2, it is possible to…

A: Above question is solved.