If sec(x)=4,sec(x)=4, for 180∘

Q: By considering different paths of approach, show that the function f(x, y) has no limit as (x, y) →…

A: Let S be an open set containing , and let f be a function of two variables defined on S, except…

Q: Find_f'(x) 16. f(x) = sec² x - tan² x

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Q: If f(x) = cos x – 7 tan æ, then f'(z) -sin( x ) – 7 sec²(x) = f'(2) =

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Q: x=2- secy, x=2, y = 3 and y = 0; about x = 2

A: Using Washer method, we find the volume of revolution of the given region. The formula is for the…

Q: Find the minimum value of ∣sin x + cos x + tan x + cot x + sec x + csc x∣ for real numbers x.

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Q: Given f(x) = x² sec x, find f'(x). Ox² cos x + 2x sec x O x² secx tan x + sec(2x²) O 2x sec x tan x…

A: f'(x)=x2secx'         =x2'secx+secx' x2        =2xsecx+secxtanxx2

Q: (c) cos lim (tan x)°os x x-(플)-

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Q: If 1– cosh x f(x) : 3+ cosh x then f'(x) =

A: The quotient rule of the differentiation uv'=u'⋅v−u⋅v'v2.

Q: f(x) 3 cos x 2 tan x - - f'(x) = f' 3 r()-

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Q: P1:

A: Solving

Q: 2+ Cotx 3 3 tanx= 353 3 tanx = Cotx 3 %3D 313 3. 3 3

A: The solution is :

Q: 2 n- tan x sec"- 9. Show that for n > 2, п-2 sec" x dx + n - sec" 1 x dx п — 1 | 4 Use this to find…

A: You need to use reduction formula to integrate the function, such that: You need to use integration…

Q: find dydx 15. y = (sec x + tan x)(sec x - tan x)16. y = x^2 cos x - 2x sin x - 2 cos x17. ƒ(x) = x^3…

A: To Determine: find the derivative  Given: we have y=secx+tanxsecx-tanx Explanation: we have…

Q: entiate g(x)=In(tanhx) in its simplest fo (x)= In(tanhx)sech°x In(tanhx)sech'x tanhx sech'x (x)%D…

A: We have to choose the correct answer from the given option according to the given condition

Q: $2tan X sec X

A: See the details solution below

Q: find f'(x). 5x(x+2 tan(x)) sec (x) Find f'(3). f(x)= 5x² tan z sec z

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Q: If f(x) =- 2-cos(x) sin(x) then the absolute minimum of f on the TI 3T is: interval O 2/2-1 O 2/2+1

A: Steps to find the absolute minimum value : Find the critical point of f Evaluate the function…

Q: sin°(,² – 4) (x+2) tan(x+ 2 limy→-2

A: We have to solve

Q: tan°(x) sec²(x) dx = 1/7tan^7(x)+1/9tan^9(x) %3D

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Q: (tan²z+1)° sec² x dr

A: Given,         ∫tan2x+12sec2xdx

Q: Point X is equidistant from F and T. Furthermore, point Y is equidistantfrom F and T. Does that mean…

A: To check: Whether the point X and Y are equally distance from F. Given: The point X is equidistance…

Q: x² – 16 f (x) = x( x 2(х — 1)°(х — 2) : о 1)8 (x – 2) : 0 - -

A: If the given function is equal at LHL and RHL at x=3 then the given function is continuous at x

Q: Suppose f''(x) = -(sin(x)), f'(0)=6 and f(0)= -1 Find f(π/2) =?

A: Given query is to find the value of the function at indicated point.

Q: By considering different paths of approach, show that the function f(x,y) has no limit as (x, y) →…

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Q: sc 2x - cot 2x = 0 1 sec²x

A: We can find the answer as below.

Q: 2y-n у-п lim п cos y y-

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Q: x cos (3x – 7) cos(2x+ 7) lim cos(플-x)

A: Limits

Q: If f (z) = sec(x) tan(x), then f' (x) = O sec x O sec x tan x O sec r (2 sec2 x – 1) O tan x sec x

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Q: f(x) = sec x As x = π-/2, f(x) =  As x = π+/2, f(x) =

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Q: If 4 – cosh a f(x) 3 + cosh x then f'(x)

A: Given function

Q: Find f' (x) for 7 sec(r) f(x) = 4(1 + 5 tan(æ)) f' (x) = ||

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Q: If f(x)=tan x, then show that f(x+y)-f(x) = sec^2x tany/ 1-tanxtany

A: The detailed solution is given below Thank you

Q: [(2tan(x)/1+sec(x))+(2+2sec(x)/tan(x))]=4csc(x)

A: Consider the left hand side,

Q: 5-x * tan(x) If f (x ) = -sec(x) (a) f'(x) (b) f'(5)

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Q: How do I solve the limit as x goes to -1 for the expression (sin(3x-3))/(1-x) without using…

A: The given limit is,

Q: 1– tan(*,) [1– sin x] lim 1+ tan(x (¥2) [z – 2x] x- - 2 1/8 1/32

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Q: Differentiate. 6 - sec x y = tan x -sec(x) tan(x) - tan(x) – 6 – sec(x) - sec2 (x) y' = tan ?(x)

A: We know,d(u(x)v(x))dx = v(x) . du(x)dx- u(x) . dv(x)dxv2(x)

Q: 4 cot x)sec& ) .

A: cotx = cosxsinx. secx = 1cosx csc x =1sinx

Q: lim as x approaches 0   x sin(x)/1-cos(x)

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Q: )etan²x f'(x) = (tan² x)et %3D Option 2 g tan?x f'(x) = (2 tan x)e

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Q: tan x 3 sec x If f(x) ƒ'(x) = To two decimal places, ƒ' (1) = =

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Q: sec2x-2taпх lim X→T/4 1+cos4x

A: Consider the given limit limx→π4sec2x-2tan x1+cos4x   limx→π4sec2x-2tan x1+cos4x=00 Which is…

Q: Give an equation for a cosine function that has a maximum at followed immediately by another maximur…

A: To find the trigonometric equation satisgmfying the properties

Q: tanh(x) = 3/5, find the values of the other hyperbolic functions at x.

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Q: If cosh(x) = 25/24 and x > 0, find the values of the other hyperbolic functions at x.

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Q: 9. sec(1- x) tan(1 – x) dx

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Q: lim COS X tanx メー→o <-2メ4リX-8 2lim 3 メ→ 2 xリ_2X メ-2 xツ_2Xメ

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Q: Find f'(x) for f(x)=tan^3x+tan(x^3)

A: The function is given by,

Q: 3 8. y = sec Зx) 9sec (2 – 3x)tan´(2 – 3x) B. - 9sec (2 - 3x) tan tan (2 3 С. 9 sec' (2 — 3х) tan…

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