x2 – 1 - ind the domain of the function f(x) cos² (x) + 1

Q: f(x) = -3 cos (+)-2

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Q: (а) lim 1-cos() 3x 1/х 1/х (b) lim хе 1/х (Hint: хe x+0"

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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: 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: 2x - 6x 34. lim x-0 sin 2x 35. lim 2 1- cos 2

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

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Q: R4 for g(x) = cos(xx) on [0, 1]

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Q: 57 Sketch a graph of the function f(z) = - 2 sin -1. %3D 4

A: fx = -2 sin x- 5π4-1

Q: [3] Let f(x) = –x³. find p2, P3, and p4. Cos x and po = -1, pi = 0. Use the Secant method to

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Q: f"(x) = 5ex - 8 sin(x), (0) = 3, f(x) = 5+ 5e + 5e* + 8 sin(x) – 1

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Q: 1. Find if the following are even or odd functions: a. f(x) = x cos x b. f(x) = x* - sin 2x 2. Prove…

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Q: Express the function in the form f∘g. F(x)=cos2x

A: Given : Fx = cos2x

Q: sin a 4. lim I 1+ cos3 x

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Q: (a) Let f(x) = (3x – 7) *". Find f2®(x). 49 (b) Let g(x) = cos(9x +2). Find gº" (34) '(x).

A: Consider the part (a): Consider the following function: fx=3x-749…

Q: (a) Find a function f(x) satisfying the conditions f"(x) = -27 cos(-3x), f(0) = 7, f'(0) = 4, f"(0)…

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Q: 2-x Q.1 1 Write the function f (x) = =cosx+3x² as the sum of an even and odd functions.

A: To write the function as the sum of even and odd functions.

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

A: Given: f(x)=lncos−1x3

Q: lim x²+3x sin x x-0 0 3 01 O does not exist 0 0

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

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Q: Use the shown table to find the indicated shown limit.

A: The given expression is limx→0sin3xx

Q: * /Q3 e*-(x+1) lim X→0 CoSx-1 %3D -1 1 -2 O O O O

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Q: 2-x Q.1 Write the function f(x)= as the sum of cosx+3x an even and odd functions.

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Q: lim cos x + x cos a. 0 b. 1 d. does not exist

A: This question is based on Squeeze theorem.

Q: cos 2x – cos x lim | x→0 sin x O -1/4 О 3/2 O -1/2 O -2/3

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Q: f(x) = { 2x³ x < cos x x ≥ SINEIN 2 2

A: f(x)=2x3x&lt;π2cosxx≥π2 We know Lfx=∫0∞fxe-sxdx

Q: the function f (2) = z Cos z ̟has a zero of order 1 None

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

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Q: (a) Let f(x) = cos(3x – 2). Find f"(x). (39) %3D (b) Let g(x) = 2***. Find g (153) (x). %3D

A: Topic = Derivative

Q: Find the domain f(x) 0 {x|× * of the function. 3 cos(x) 1 - sin(x) T x + 2n*, n an integer 4 0 {x |…

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Q: 1. Consider the two functions f(x) = cos 4x and g(x) = { ) (a) Write down: (i) the minimum value of…

A: As per company guidelines we are allowed to solve one question at a time so i am solving fist one…

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

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Q: -1 Let f(x) = tan-¹ e²². Find f" (x).

A: The solution is given below

Q: 1. (a) Find the domain of the following function, giving you answer in interval notation. f(x) =…

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Q: x2 - 2x + 3, x<0 cos를+2. + 2, COS Evaluate f'(-2) and 4.

A: It is given that,       fx=34x2-2x+3 , x&lt;0cosx2+2 , x≥0 Evaluate f'(-2).

Q: e sin a – x lim 10 10 cos x- 10 O - 0.2000 | O 0.1000 O - 0.1000 O 0.2000

A: Use L hospital's rule as it of indefinite form. So differentiate the numerator and denominator both…

Q: 3x2 lim x→0 cos(2x) – 1

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Q: 5. What do the following quantities represent in terms of the graph of f(x) = sin x? (a) sin 1.3 –…

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

A: Given function is fx=8cosx-8sinx.

Q: f(x) = a cos(bx) а cos

A: Given,                         f(x)=acos(bx)+cx+dif a=6, b=0.5, c=3 and d=4.

Q: f(x)=-2x-2 cos x

A: we have to solve that on which intervals the given function is concave upward and concave downward.

Q: S lim 1 (1+x)2+n³ cos (nº + x³) dr

A: HINT:  Used Integration formulas and limit formulas.

Q: 22. Rewrite the expression as an algebraic function of x and y: sin(co os'x - tany).

A: Given, sincos-1x-tan-1y

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: Use the table to find the shown indicated limit.

A: We have given table: To find: limx→0fx Solution: From the table we have: When x=-0.03 then…

Q: e-* cos² x (x + 1)2

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Q: 25. f(x) = e sin x, g(x) e cos x 26. f(x) = 2 cos x + 3 sin x, g(x) = 3 cos x - 2 sin x %3D %3D

A: Linearly independent solution