Consider the following. f(x) = 3 cos(x) + 1, g(x) = cos(x) – 1; [-25, 2x] by [-2.5, 5.5] (a) Graph fand g in the given viewing rectangle. y

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A: Given,          Suppose f''x=-sinx , f'0=-2 and f0=-3.

Q: * Sketch a graph of the following: TX y f(x) = - sin - * g(x) = - 0.8 cos(2x) %3D | - 27 2

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Q: If f (x) = cos(3x), then f' (-) is equal to

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Q: (b)Create graphs of three functions below to determine if they are continuous or discontinuous.…

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Q: Let  f(x) = cx + ln(cos(x)).  For what value of c is f'(pi/4)=4

A: sol:-    Given f(x) = (x+ln(cosx)  differentiating ω. r.t   x, we get    f1(x) = c+1cosx(-sin x)…

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Q: Find all anti-derivatives for the following function. g(x) = -4 cos(x) – x

A: NOTE: Refresh your page if you can't see any equations. . take integration(anti-derivative)

Q: Let f(x) = (c + 1)x+ In(cos x). For what value of c is f'(/4)=6

A: This question can be solved using the concepts of differentiation.

Q: 38. For what numbers x, -^ ≤x≤7 is the graph of y = cos x increasing?

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Q: If g(x)=cos2x and f(x)=sin (1/2) (π), find g(f(x))

A: Given functions are  g(x)=cos2x and f(x)=sinπ2

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Q: plot the function and use the graph to estimate the value of the limit.

A: Using the graphing utility, we get following graph of function

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Q: -2x 39. lim (e* cos x)

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Q: Describe with a sketch the end behavior of f(x) = cos x.

A: Given:            f(x) = cos x  The cosine function oscillates between values -1, 1 as x→∞ Hence it…

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A: According to question,Given function,y1 = 2 cos x,y2 = cos xy3 =0.5 cos x0≤x≤2π

Q: 8. What is the period for this relation y = cos(4x)

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A: Givenf(x)=10-acosxwhere a is constant

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Q: For cos2(xy) = L. For cos2(xy) =-, evaluate y' when x = 1. 4 3

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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: If f(x) = x² + cos(x), what is f" (x)?

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Q: Sketch the graph of f (x) = 3 cos (2 (x + π/2)) over [O, 2π].

A: Given: f (x) = 3 cos (2 (x + π/2)) over [O, 2π]

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A: topic - derivatives

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Q: Find F'(x), f"(x) and f'"(x) for f(x)=x$+cos(9x).

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Q: Differentiate the function: y = e-x cos²x x²+x+1

A: To differentiate the function.

Q: Find the f( for this f (x) = l09, x Cos-lx

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: If g(x) = f'(x) and if g(x) = (cos x – x sin x)e* cos x, then S g(x) tan(f (x))dx is

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

A: From the given graph , the value of the function is extreme at x = 0, so the function is a cosine…

Q: Find the points of discontinuity of cos () for |x| 1 Determine the type of discontinuity and…

A: Given: gx=cosπx2, for x&lt;1x-1, for x≥1 To Determine: Type of discontinuity and whether g is left…

Q: 9. Find f(35) (x) for f(x) = cos (2x)T = COS

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Q: Use the following graph of the tunction f(x) = 3 sin z, which passes through A(-,-3), B(, 1.5), and…

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

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Q: .Write the first two non-zero terms for f (x) = cos(x) about x 2

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Q: 17. If g(x) = ln(cos x), what is g'()?

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Q: Indicate if the following function increase or decrease at given interval: f(x) = 3x² + 2 cos(x), х€…

A: Check the each function by first derivative test. In the given interval if the derivative is…

Q: - 19. Is f (x) = sinx a periodic function if so, find its period ?

A: Introduction :

Q: 10 6. g(x)=(In(x² +1)– tan(6x)

A: The given function is:gx=lnx2+1-tan6x10

Q: differentiate with respect to x and simpify if possible g(x) = -cos^(2) x cotx must show all steps

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A: We need to show function as f∘g(x)

Q: Let f(x) = cx + In(cos(x)). For what value of c is f'(" = 5? 4

A: Differentiate the given function w.r.t. x.…

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A: We have to find the value of f(x).

Q: Find and b such that the following function is continuous at x=( [x] – 2a x 0 -

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Q: If g(x) f'(x) and if g(x) (cos x - x sin x)e*cosx, then f g(x) tan(f(x))dx is x cosx In(e*cosx) +€…

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